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Artykuły w czasopismach na temat „Jacobi triple product identity”

Autor: Grafiati

Data publikacji: 4 czerwca 2021

Data aktualizacji: 1 lutego 2022

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1

Ewell, John A. "Consequences of a sextuple-product identity." International Journal of Mathematics and Mathematical Sciences 10, no. 3 (1987): 545–49. http://dx.doi.org/10.1155/s0161171287000656.

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A sextuple-product identity, which essentially results from squaring the classical Gauss-Jacobi triple-product identity, is used to derive two trigonometrical identities. Several special cases of these identities are then presented and discussed.

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2

Wenchang, Chu. "Durfee rectangles and the Jacobi triple product identity." Acta Mathematica Sinica 9, no. 1 (March 1993): 24–26. http://dx.doi.org/10.1007/bf02559979.

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3

Chan, Hei-Chi. "Another simple proof of the quintuple product identity." International Journal of Mathematics and Mathematical Sciences 2005, no. 15 (2005): 2511–15. http://dx.doi.org/10.1155/ijmms.2005.2511.

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4

SCZECH, Robert. "Gaussian sums, Dedekind sums and the Jacobi triple product identity." Kyushu Journal of Mathematics 49, no. 2 (1995): 233–41. http://dx.doi.org/10.2206/kyushujm.49.233.

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5

Jun-Ming Zhu. "A Semi-Finite Proof of Jacobi′s Triple Product Identity." American Mathematical Monthly 122, no. 10 (2015): 1008. http://dx.doi.org/10.4169/amer.math.monthly.122.10.1008.

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6

Srivastava, Hari M., M. P. Chaudhary, and Sangeeta Chaudhary. "Some Theta-Function Identities Related to Jacobi’s Triple-Product Identity." European Journal of Pure and Applied Mathematics 11, no. 1 (January 30, 2018): 1. http://dx.doi.org/10.29020/nybg.ejpam.v11i1.3222.

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The main object of this paper is to present some q-identities involving some of the theta functions of Jacobi and Ramanujan. These q-identities reveal certain relationships among three of the theta-type functions which arise from the celebrated Jacobi’s triple-product identity in a remarkably simple way. The results presented in this paper are motivated by some recent works by Chaudhary et al. (see [4] and [5]) and others (see, for example, [1] and [13]).

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7

Bhargava, S., Chandrashekar Adiga та M. S. Mahadeva Naika. "QUINTUPLE PRODUCT IDENTITY AS A SPECIAL CASE OF RAMANUJAN'S 1ψ1 SUMMATION FORMULA". Asian-European Journal of Mathematics 04, № 01 (березень 2011): 31–34. http://dx.doi.org/10.1142/s1793557111000046.

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In this note we observe an interesting fact that the well-known quintuple product identity can be regarded as a special case of the celebrated 1ψ1 summation formula of Ramanujan which is known to unify the Jacobi triple product identity and the q -binomial theorem.

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8

Cooper, Shaun. "A new proof of the Macdonald identities for An−1." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 62, no. 3 (June 1997): 345–60. http://dx.doi.org/10.1017/s1446788700001051.

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AbstractA new, elementary proof of the Macdonald identities for An−1 using induction on n is given. Specifically, the Macdonald identity for An is deduced by multiplying the Macdonald identity for An−1 and n Jacobi triple product identities together.

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9

Chaudhary, Mahendra. "A family of theta-function identities based upon Rα,Rβ and Rm-functions related to Jacobi’s triple-product identity". Publications de l'Institut Math?matique (Belgrade) 108, № 122 (2020): 23–32. http://dx.doi.org/10.2298/pim2022023c.

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We establish a set of two new relationships involving R?,R? and Rm-functions, which are based on Jacobi?s famous triple-product identity. We, also provide answer for an open problem of Srivastava, Srivastava, Chaudhary and Uddin, which suggest to find an inter-relationships between R?,R? and Rm(m ? N), q-product identities and continued-fraction identities.

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10

DUVERNEY, DANIEL. "Some arithmetical consequences of Jacobi's triple product identity." Mathematical Proceedings of the Cambridge Philosophical Society 122, no. 3 (November 1997): 393–99. http://dx.doi.org/10.1017/s0305004197001916.

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11

KIM, SUN. "A BIJECTIVE PROOF OF THE QUINTUPLE PRODUCT IDENTITY." International Journal of Number Theory 06, no. 02 (March 2010): 247–56. http://dx.doi.org/10.1142/s1793042110002909.

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12

COOPER, SHAUN. "CONSTRUCTION OF EISENSTEIN SERIES FOR Γ0(p)". International Journal of Number Theory 05, № 05 (серпень 2009): 765–78. http://dx.doi.org/10.1142/s1793042109002365.

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A simple construction of Eisenstein series for the congruence subgroup Γ0(p) is given. The construction makes use of the Jacobi triple product identity and Gauss sums, but does not use the modular transformation for the Dedekind eta-function. All positive integral weights are handled in the same way, and the conditionally convergent cases of weights 1 and 2 present no extra difficulty.

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13

Hirschhorn, Michael, Frank Garvan та Jon Borwein. "Cubic Analogues of the Jacobian Theta Function θ(z, q)". Canadian Journal of Mathematics 45, № 4 (1 серпня 1993): 673–94. http://dx.doi.org/10.4153/cjm-1993-038-2.

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AbstractThere are three modular forms a(q), b(q), c(q) involved in the parametrization of the hypergeometric function analogous to the classical θ2(q), θ3(q), θ4(q) and the hypergeometric function We give elliptic function generalizations of a(q), b(q), c(q) analogous to the classical theta-function θ(z, q). A number of identities are proved. The proofs are self-contained, relying on nothing more than the Jacobi triple product identity

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14

Srivastava, Bhaskar. "Identities for Analogous Ramanujan's Functions by Jacobi's Triple Product Identity." American Journal of Mathematics and Statistics 2, no. 1 (August 31, 2012): 25–28. http://dx.doi.org/10.5923/j.ajms.20120201.06.

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15

Zhou, Jia, Liangyun Chen, Yao Ma та Bing Sun. "On ω-Lie superalgebras". Journal of Algebra and Its Applications 17, № 11 (листопад 2018): 1850212. http://dx.doi.org/10.1142/s0219498818502122.

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Let [Formula: see text] be a finite-dimensional vector space over a field [Formula: see text] of characteristic zero, [Formula: see text] an anti-commutative product on [Formula: see text] and [Formula: see text] a bilinear form on [Formula: see text]. The triple [Formula: see text] is called an [Formula: see text]-Lie algebra if [Formula: see text] (graded [Formula: see text]-Jacobi identity) for all [Formula: see text] In this paper, we introduce the notion of an [Formula: see text]-Lie superalgebra. We study elementary properties and representations of [Formula: see text]-Lie superalgebras.

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16

Adiga, Chandrashekar, and P. S. Guruprasad. "A Note on Four-Variable Reciprocity Theorem." International Journal of Mathematics and Mathematical Sciences 2009 (2009): 1–9. http://dx.doi.org/10.1155/2009/370390.

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We give new proof of a four-variable reciprocity theorem using Heine's transformation, Watson's transformation, and Ramanujan's -summation formula. We also obtain a generalization of Jacobi's triple product identity.

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17

Chaudhary, M. P., and Sangeeta Chaudhary. "On relationships between q-products identities, Ralpha, Rbeta and Rm functions related to Jacobi's triple-product identity." Mathematica Moravica 24, no. 2 (2020): 133–44. http://dx.doi.org/10.5937/matmor2002133c.

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The authors establish a set of two new relationships involving q-product identities, Ralpha, Rbeta, and Rm (m = 1, 2, 3, . . .) functions; and answer a open question of Srivastava et al. [18]. The present work is motivated and based upon recent findings of Chaudhary et al. [8].

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18

Wang, Chun, and Ae Ja Yee. "Truncated Jacobi triple product series." Journal of Combinatorial Theory, Series A 166 (August 2019): 382–92. http://dx.doi.org/10.1016/j.jcta.2019.03.003.

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19

Yee, Ae Ja. "A truncated Jacobi triple product theorem." Journal of Combinatorial Theory, Series A 130 (February 2015): 1–14. http://dx.doi.org/10.1016/j.jcta.2014.10.005.

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20

Girstmair, Kurt. "Triple product identities for the Jacobi symbol." Expositiones Mathematicae 19, no. 2 (2001): 179–85. http://dx.doi.org/10.1016/s0723-0869(01)80028-1.

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21

Balázs, Márton, and Ross Bowen. "Product blocking measures and a particle system proof of the Jacobi triple product." Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 54, no. 1 (February 2018): 514–28. http://dx.doi.org/10.1214/16-aihp813.

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22

Kaneko, Jyoichi. "A Triple Product Identity for Macdonald Polynomials." Journal of Mathematical Analysis and Applications 200, no. 2 (June 1996): 355–67. http://dx.doi.org/10.1006/jmaa.1996.0210.

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23

Milne, S. C. "A triple product identity for Schur functions." Journal of Mathematical Analysis and Applications 160, no. 2 (September 1991): 446–58. http://dx.doi.org/10.1016/0022-247x(91)90317-s.

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24

Kolitsch, Louis W., and Stephanie Kolitsch. "A combinatorial proof of Jacobi’s triple product identity." Ramanujan Journal 45, no. 2 (January 17, 2017): 483–89. http://dx.doi.org/10.1007/s11139-016-9854-5.

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25

Chan, Heng Huat. "Triple product identity, Quintuple product identity and Ramanujan's differential equations for the classical Eisenstein series." Proceedings of the American Mathematical Society 135, no. 07 (July 1, 2007): 1987–93. http://dx.doi.org/10.1090/s0002-9939-07-08723-0.

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26

Hammond, Paul, Richard Lewis, and Zhi-Guo Liu. "Hirschhorn's identities." Bulletin of the Australian Mathematical Society 60, no. 1 (August 1999): 73–80. http://dx.doi.org/10.1017/s0004972700033347.

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We prove a general identity between power series and use this identity to give proofs of a number of identities proposed by M.D. Hirschhorn. We also use the identity to give proofs of a well-known result of Jacobi, the quintuple-product identity and Winquist's identity.

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27

Blanco-Chacón, Iván, and Michele Fornea. "TWISTED TRIPLE PRODUCT -ADIC L-FUNCTIONS AND HIRZEBRUCH–ZAGIER CYCLES." Journal of the Institute of Mathematics of Jussieu 19, no. 6 (February 20, 2019): 1947–92. http://dx.doi.org/10.1017/s1474748019000021.

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Let $L/F$ be a quadratic extension of totally real number fields. For any prime $p$ unramified in $L$, we construct a $p$-adic $L$-function interpolating the central values of the twisted triple product $L$-functions attached to a $p$-nearly ordinary family of unitary cuspidal automorphic representations of $\text{Res}_{L\times F/F}(\text{GL}_{2})$. Furthermore, when $L/\mathbb{Q}$ is a real quadratic number field and $p$ is a split prime, we prove a $p$-adic Gross–Zagier formula relating the values of the $p$-adic $L$-function outside the range of interpolation to the syntomic Abel–Jacobi ima

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28

Gritsenko, Valery, та Haowu Wang. "Powers of Jacobi triple product, Cohen’s numbers and the Ramanujan $${\Delta }$$ Δ -function". European Journal of Mathematics 4, № 2 (10 жовтня 2017): 561–84. http://dx.doi.org/10.1007/s40879-017-0185-x.

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29

Josuat-Vergès, Matthieu, and Jang Soo Kim. "Touchard–Riordan formulas, T-fractions, and Jacobi’s triple product identity." Ramanujan Journal 30, no. 3 (September 13, 2012): 341–78. http://dx.doi.org/10.1007/s11139-012-9403-9.

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30

Ward, A. J. B. "Classroom note: A teaching method for the vector triple product identity." International Journal of Mathematical Education in Science and Technology 35, no. 2 (March 2004): 299–300. http://dx.doi.org/10.1080/00207390310001638403.

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31

Srivastava, H. M., M. P. Chaudhary, and S. Chaudhary. "A Family of Theta-Function Identities Related to Jacobi’s Triple-Product Identity." Russian Journal of Mathematical Physics 27, no. 1 (January 2020): 139–44. http://dx.doi.org/10.1134/s1061920820010148.

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32

Schneider, Robert. "Jacobi’s triple product, mock theta functions, unimodal sequences and the q-bracket." International Journal of Number Theory 14, no. 07 (July 23, 2018): 1961–81. http://dx.doi.org/10.1142/s1793042118501178.

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In Ramanujan’s final letter to Hardy, he listed examples of a strange new class of infinite series he called “mock theta functions”. It turns out all of these examples are essentially specializations of a so-called universal mock theta function [Formula: see text] of Gordon–McIntosh. Here we show that [Formula: see text] arises naturally from the reciprocal of the classical Jacobi triple product—and is intimately tied to rank generating functions for unimodal sequences, which are connected to mock modular and quantum modular forms—under the action of an operator related to statistical physics

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33

Srivastava, Hari Mohan, Rekha Srivastava, Mahendra Pal Chaudhary, and Salah Uddin. "A Family of Theta-Function Identities Based upon Combinatorial Partition Identities Related to Jacobi’s Triple-Product Identity." Mathematics 8, no. 6 (June 5, 2020): 918. http://dx.doi.org/10.3390/math8060918.

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The authors establish a set of six new theta-function identities involving multivariable R-functions which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity. These theta-function identities depict the inter-relationships that exist among theta-function identities and combinatorial partition-theoretic identities. Here, in this paper, we consider and relate the multivariable R-functions to several interesting q-identities such as (for example) a number of q-product identities and Jacobi’s celebrated triple-product identity. Various recent development

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34

ZOTOV, A. "ON RELATION BETWEEN WEYL AND KONTSEVICH QUANTUM PRODUCTS: DIRECT EVALUATION UP TO THE ℏ3-ORDER". Modern Physics Letters A 16, № 10 (28 березня 2001): 615–25. http://dx.doi.org/10.1142/s0217732301003693.

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In his celebrated paper Kontsevich has proved a theorem which manifestly gives a quantum product (deformation quantization formula) and states that changing coordinates leads to gauge equivalent star products. To illuminate his procedure, we make an arbitrary change of coordinates in the Weyl (Moyal) product and obtain the deformation quantization formula up to the third order. In this way, the Poisson bivector is shown to depend on ℏ and not to satisfy the Jacobi identity. It is also shown that the values of coefficients in the formula obtained follow from associativity of the star product.

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35

Bhargava, S., Chandrashekar Adiga, and M. S. Mahadeva Naika. "Ramanujan's remarkable summation formula as a $2$-papameter generalization of the quintuple product identity." Tamkang Journal of Mathematics 33, no. 3 (September 30, 2002): 285–88. http://dx.doi.org/10.5556/j.tkjm.33.2002.285-288.

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It is well known that `Ramanujan's remarkable summation formula' unifies and generalizes the $q$-binomial theorem and the triple product identity and has numerous applications. In this note we will demonstrate how, after a suitable transformation of the series side, it can be looked upon as a $2$-parameter generalization of the quintuple product identity also.

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36

BREMNER, MURRAY R., and JUANA SÁNCHEZ-ORTEGA. "LEIBNIZ TRIPLE SYSTEMS." Communications in Contemporary Mathematics 16, no. 01 (January 21, 2014): 1350051. http://dx.doi.org/10.1142/s021919971350051x.

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We define Leibniz triple systems in a functorial manner using the algorithm of Kolesnikov and Pozhidaev which converts identities for algebras into identities for dialgebras; this algorithm is a concrete realization of the white Manin product introduced by Vallette by the permutad Perm introduced by Chapoton. We verify that Leibniz triple systems are natural analogues of Lie triple systems by showing that both the iterated bracket in a Leibniz algebra and the permuted associator in a Jordan dialgebra satisfy the defining identities for Leibniz triple systems. We construct the universal Leibniz

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37

Chaudhary, Mahendra Pal, Sangeeta Chaudhary, and Junesang Choi. "TWO IDENTITIES DERIVABLE FROM THE JACOBI’S TRIPLE-PRODUCT IDENTITY AND THE RAMANUJAN CONTINUED FRACTION." Far East Journal of Mathematical Sciences (FJMS) 102, no. 1 (June 13, 2017): 243–49. http://dx.doi.org/10.17654/ms102010243.

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38

Warnaar, S. Ole. "q-Hypergeometric Proofs of Polynomial Analogues of the Triple Product Identity, Lebesgue?s Identity and Euler?s Pentagonal Number Theorem." Ramanujan Journal 8, no. 4 (January 2005): 467–74. http://dx.doi.org/10.1007/s11139-005-0275-0.

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39

Apagodu, Moa. "New series representations for Jacobiʼs triple product identity and more via the q-Markov method". Advances in Applied Mathematics 48, № 1 (січень 2012): 25–36. http://dx.doi.org/10.1016/j.aam.2011.05.002.

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40

Ostrovsky, Dmitry. "On Barnes beta distributions, Selberg integral and Riemann xi." Forum Mathematicum 28, no. 1 (January 1, 2016): 1–23. http://dx.doi.org/10.1515/forum-2013-0149.

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AbstractThe theory of Barnes beta probability distributions is advanced and related to the Riemann xi function. The scaling invariance, multiplication formula, and Shintani factorization of Barnes multiple gamma functions are reviewed using the approach of Ruijsenaars and shown to imply novel properties of Barnes beta distributions. The applications are given to the meromorphic extension of the Selberg integral as a function of its dimension and the scaling invariance of the underlying probability distribution. This probability distribution in the critical case is described and conjectured to

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41

Abramov, Viktor. "Matrix 3-Lie superalgebras and BRST supersymmetry." International Journal of Geometric Methods in Modern Physics 14, no. 11 (October 23, 2017): 1750160. http://dx.doi.org/10.1142/s0219887817501602.

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Given a matrix Lie algebra one can construct the 3-Lie algebra by means of the trace of a matrix. In the present paper, we show that this approach can be extended to the infinite-dimensional Lie algebra of vector fields on a manifold if instead of the trace of a matrix we consider a differential 1-form which satisfies certain conditions. Then we show that the same approach can be extended to matrix Lie superalgebras [Formula: see text] if instead of the trace of a matrix we make use of the supertrace of a matrix. It is proved that a graded triple commutator of matrices constructed with the hel

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42

Chaudhary, M. P. "Relations between Rα, Rβ and Rm functions related to Jacobi’s triple-product identity and the family of theta-function identities". Notes on Number Theory and Discrete Mathematics 27, № 2 (червень 2021): 1–11. http://dx.doi.org/10.7546/nntdm.2021.27.2.1-11.

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In this paper, the author establishes a set of three new theta-function identities involving Rα, Rβ and Rm functions which are based upon a number of q-product identities and Jacobi’s celebrated triple-product identity. These theta-function identities depict the inter-relationships that exist among theta-function identities and combinatorial partition-theoretic identities. Here, in this paper we answer a open question of Srivastava et al [33], and established relations in terms of Rα, Rβ and Rm (for m = 1, 2, 3), and q-products identities. Finally, we choose to further emphasize upon some clos

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43

Abramov, Viktor. "Nambu–Poisson bracket on superspace." International Journal of Geometric Methods in Modern Physics 15, no. 11 (November 2018): 1850190. http://dx.doi.org/10.1142/s0219887818501906.

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We propose an extension of [Formula: see text]-ary Nambu–Poisson bracket to superspace [Formula: see text] and construct by means of superdeterminant a family of Nambu–Poisson algebras of even degree functions, where the parameter of this family is an invertible transformation of Grassmann coordinates in superspace [Formula: see text]. We prove in the case of the superspaces [Formula: see text] and [Formula: see text] that our [Formula: see text]-ary bracket, defined with the help of superdeterminant, satisfies the conditions for [Formula: see text]-ary Nambu–Poisson bracket, i.e. it is totall

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44

Hillman, J. A., and C. Kearton. "Algebraic Invariants of Simple 4-Knots." Journal of Knot Theory and Its Ramifications 06, no. 03 (June 1997): 307–18. http://dx.doi.org/10.1142/s0218216597000212.

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We propose as an algebraic invariant for a simple 4-knot K with exterior X the triple (L, η, [λ]), where L = Z ⊕ π2(X)⊕π3(X) is a commutative graded ring with unit whose multiplication in positive degrees is determined by Whitehead product, η is composition with the Hopf map and [λ] is the orbit of the homotopy class of the longitude in π4(X) under the group of self homotopy equivalences of the universal covering space X′ which induce the identity on L. If K is fibred these invariants determine the fibre, and the natural Z[t,t-1]-module structures on the homotopy groups capture part of the mon

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45

Singer-Krüger, B., H. Stenmark, A. Düsterhöft, P. Philippsen, J. S. Yoo, D. Gallwitz, and M. Zerial. "Role of three rab5-like GTPases, Ypt51p, Ypt52p, and Ypt53p, in the endocytic and vacuolar protein sorting pathways of yeast." Journal of Cell Biology 125, no. 2 (April 15, 1994): 283–98. http://dx.doi.org/10.1083/jcb.125.2.283.

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The small GTPase rab5 has been shown to represent a key regulator in the endocytic pathway of mammalian cells. Using a PCR approach to identify rab5 homologs in Saccharomyces cerevisiae, two genes encoding proteins with 54 and 52% identity to rab5, YPT51 and YPT53 have been identified. Sequencing of the yeast chromosome XI has revealed a third rab5-like gene, YPT52, whose protein product exhibits a similar identity to rab5 and the other two YPT gene products. In addition to the high degree of identity/homology shared between rab5 and Ypt51p, Ypt52p, and Ypt53p, evidence for functional homology

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46

HIRSCHHORN, MICHAEL D., and JAMES A. SELLERS. "ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS." Bulletin of the Australian Mathematical Society 81, no. 1 (July 2, 2009): 58–63. http://dx.doi.org/10.1017/s0004972709000525.

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AbstractIn a recent paper, Calkin et al. [N. Calkin, N. Drake, K. James, S. Law, P. Lee, D. Penniston and J. Radder, ‘Divisibility properties of the 5-regular and 13-regular partition functions’, Integers8 (2008), #A60] used the theory of modular forms to examine 5-regular partitions modulo 2 and 13-regular partitions modulo 2 and 3; they obtained and conjectured various results. In this note, we use nothing more than Jacobi’s triple product identity to obtain results for 5-regular partitions that are stronger than those obtained by Calkin and his collaborators. We find infinitely many Ramanuj

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Chistoserdova, Ludmila, Gregory J. Crowther, Julia A. Vorholt, Elizabeth Skovran, Jean-Charles Portais, and Mary E. Lidstrom. "Identification of a Fourth Formate Dehydrogenase in Methylobacterium extorquens AM1 and Confirmation of the Essential Role of Formate Oxidation in Methylotrophy." Journal of Bacteriology 189, no. 24 (October 5, 2007): 9076–81. http://dx.doi.org/10.1128/jb.01229-07.

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ABSTRACT A mutant of Methylobacterium extorquens AM1 with lesions in genes for three formate dehydrogenase (FDH) enzymes was previously described by us (L. Chistoserdova, M. Laukel, J.-C. Portais, J. A. Vorholt, and M. E. Lidstrom, J. Bacteriol. 186:22-28, 2004). This mutant had lost its ability to grow on formate but still maintained the ability to grow on methanol. In this work, we further investigated the phenotype of this mutant. Nuclear magnetic resonance experiments with [13C]formate, as well as 14C-labeling experiments, demonstrated production of labeled CO2 in the mutant, pointing to t

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Burbank, Stephen, and Sean Farhang. "Politics, Identity, and Class Certification on the U.S. Courts of Appeals." Michigan Law Review, no. 119.2 (2020): 231. http://dx.doi.org/10.36644/mlr.119.2.politics.

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This Article draws on novel data and presents the results of the first empirical analysis of how potentially salient characteristics of Court of Appeals judges influence class certification under Rule 23 of the Federal Rules of Civil Procedure. We find that the ideological composition of the panel (measured by the party of the appointing president) has a very strong association with certification outcomes, with all-Democratic panels having dramatically higher rates of procertification outcomes than all-Republican panels—nearly triple in about the past twenty years. We also find that the presen

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Benton, B. M., J. H. Zang, and J. Thorner. "A novel FK506- and rapamycin-binding protein (FPR3 gene product) in the yeast Saccharomyces cerevisiae is a proline rotamase localized to the nucleolus." Journal of Cell Biology 127, no. 3 (November 1, 1994): 623–39. http://dx.doi.org/10.1083/jcb.127.3.623.

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The gene (FPR3) encoding a novel type of peptidylpropyl-cis-trans-isomerase (PPIase) was isolated during a search for previously unidentified nuclear proteins in Saccharomyces cerevisiae. PPIases are thought to act in conjunction with protein chaperones because they accelerate the rate of conformational interconversions around proline residues in polypeptides. The FPR3 gene product (Fpr3) is 413 amino acids long. The 111 COOH-terminal residues of Fpr3 share greater than 40% amino acid identity with a particular class of PPIases, termed FK506-binding proteins (FKBPs) because they are the intrac

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Delatte, H., B. Reynaud, J. M. Lett, M. Peterschmitt, M. Granier, J. Ravololonandrianina, and W. R. Goldbach. "First Molecular Identification of a Begomovirus Isolated from Tomato in Madagascar." Plant Disease 86, no. 12 (December 2002): 1404. http://dx.doi.org/10.1094/pdis.2002.86.12.1404c.

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In April 2001, reduced leaf size, leaf curling, yellowing symptoms, and reduced yield were observed in tomato plants in the southwestern (Toliary, Morondava, Miandrivazo) and northern (Antsiranana) regions of Madagascar. Symptoms were similar to those caused by Tomato yellow leaf curl virus (TYLCV, genus Begomovirus, family Geminiviridae). Large populations of Bemisia tabaci (Gennadius) were observed colonizing tomato, other crops, and weeds. Leaf samples were collected from tomato plants from 14 sites located in northern, central, and southern Madagascar. Two plant samples collected near Ants

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