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Artykuły w czasopismach na temat „Via de Zenta”

Autor: Grafiati

Data publikacji: 3 czerwca 2025

Data aktualizacji: 31 lipca 2025

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1

Contrepois, Kevin, Zenta Tsuchihashi, Kazuishi Kubota, et al. "Abstract 6364: Serum proteomics analysis: Potential biomarkers and mechanisms of trastuzumab deruxtecan (T-DXd)-related interstitial lung disease/pneumonitis (ILD)." Cancer Research 85, no. 8_Supplement_1 (2025): 6364. https://doi.org/10.1158/1538-7445.am2025-6364.

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Abstract Background: ILD, an important safety risk of T-DXd across various cancer indications, requires regular monitoring in patients (pts) receiving T-DXd. Diagnosing ILD is complex and requires physiological, clinical, and radiologic assessments, and mechanisms driving ILD onset are not well understood. We performed longitudinal proteomics analysis in serum samples to identify early diagnostic biomarkers and characterize biological mechanisms associated with T-DXd-related ILD. Methods: The SomaScan™ and Olink platforms were used to perform proteomics analysis on 1247 baseline and longitudin

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2

Xu, Chenyang. "Motivic zeta function via Dlt modification." Michigan Mathematical Journal 65, no. 1 (2016): 89–103. http://dx.doi.org/10.1307/mmj/1457101812.

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3

Cygan, Marek, and Łukasz Kowalik. "Channel assignment via fast zeta transform." Information Processing Letters 111, no. 15 (2011): 727–30. http://dx.doi.org/10.1016/j.ipl.2011.05.008.

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4

Clavier, Pierre, Li Guo, Sylvie Paycha, and Bin Zhang. "Renormalisation via locality morphisms." Revista Colombiana de Matemáticas 53, supl (2019): 113–41. http://dx.doi.org/10.15446/recolma.v53nsupl.84010.

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This is a survey on renormalisation in algebraic locality setup highlighting the role that locality morphisms can play for renormalisation purposes. After describing the general framework to build locality regularisation maps, we illustrate renormalisation by locality algebra homomorphisms on three examples, the renormalisation of conical zeta functions at poles, the definition of branched zeta functions and their evaluation at poles and finally the values of iterated integrals stemming from Kreimer's toy model.

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5

Aydi, Hassen, Bessem Samet, and Manuel De la Sen. "A generalization of convexity via an implicit inequality." AIMS Mathematics 9, no. 5 (2024): 11992–2010. http://dx.doi.org/10.3934/math.2024586.

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<abstract><p>We unified several kinds of convexity by introducing the class $ \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ of $ (\zeta, w) $-admissible functions $ F: [0, 1]\times I\times I\to \mathbb{R} $. Namely, we proved that most types of convexity from the literature generate functions $ F\in \mathcal{A}_{\zeta, w}([0, 1]\times I^2) $ for some $ \zeta\in C([0, 1]) $ and $ w\in C^1(I) $ with $ w(I)\subset I $ and $ w' &gt; 0 $. We also studied some properties of $ (\zeta, w) $-admissible functions and established some integral inequalities that unify various Hermite-Hadamard

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6

Betley, Stanislaw. "Riemann zeta via the category of monoids." Kodai Mathematical Journal 36, no. 3 (2013): 487–90. http://dx.doi.org/10.2996/kmj/1383660694.

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7

Stenger, Frank. "Fourier series for zeta function via Sinc." Linear Algebra and its Applications 429, no. 10 (2008): 2636–39. http://dx.doi.org/10.1016/j.laa.2008.01.037.

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8

AKATSUKA, HIROTAKA. "EULER PRODUCT EXPRESSION OF TRIPLE ZETA FUNCTIONS." International Journal of Mathematics 16, no. 02 (2005): 111–36. http://dx.doi.org/10.1142/s0129167x05002825.

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We construct multiple zeta functions considered as absolute tensor products of usual zeta functions. We establish Euler product expressions for triple zeta functions [Formula: see text] with p, q, r distinct primes, via multiple sine functions by using the signatured Poisson summation formula. We also establish Euler product expressions for triple zeta functions [Formula: see text] with a prime p, via the theory of multiple sine functions.

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9

KUROKAWA, NOBUSHIGE, MASATO WAKAYAMA, and YOSHINORI YAMASAKI. "RUELLE TYPE L-FUNCTIONS VERSUS DETERMINANTS OF LAPLACIANS FOR TORSION FREE ABELIAN GROUPS." International Journal of Mathematics 19, no. 08 (2008): 957–79. http://dx.doi.org/10.1142/s0129167x08004959.

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We study Ruelle's type zeta and L-functions for a torsion free abelian group Γ of rank ν ≥ 2 defined via an Euler product. It is shown that the imaginary axis is a natural boundary of this zeta function when ν = 2, 4 and 8, and in particular, such a zeta function has no determinant expression. Thus, conversely, expressions like Euler's product for the determinant of the Laplacians of the torus ℝν/Γ defined via zeta regularizations are investigated. Also, the limit behavior of an arithmetic function arising from the Ruelle type zeta function is observed.

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10

Kurokawa, Nobushige. "Zeta functions of analytic rings via Euler products." Proceedings of the Japan Academy, Series A, Mathematical Sciences 62, no. 5 (1986): 193–96. http://dx.doi.org/10.3792/pjaa.62.193.

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11

Schmidt, Ralf, and Long Tran. "Zeta integrals for GSp(4) via Bessel models." Pacific Journal of Mathematics 296, no. 2 (2018): 437–80. http://dx.doi.org/10.2140/pjm.2018.296.437.

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12

Fan, Yaxun, Matthias Kellermeier, Amy Y. Xu, Volodymyr Boyko, Sebastian Mirtschin, and Paul L. Dubin. "Modulation of Polyelectrolyte–Micelle Interactions via Zeta Potentials." Macromolecules 50, no. 14 (2017): 5518–26. http://dx.doi.org/10.1021/acs.macromol.7b00584.

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13

Dyatlov, Semyon, and Maciej Zworski. "Dynamical zeta functions for Anosov flows via microlocal analysis." Annales scientifiques de l'École normale supérieure 49, no. 3 (2016): 543–77. http://dx.doi.org/10.24033/asens.2290.

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14

Gauthier, P. M. "Universally Overconvergent Power Series via the Riemann Zeta-function." Canadian Mathematical Bulletin 56, no. 3 (2013): 544–50. http://dx.doi.org/10.4153/cmb-2011-196-0.

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15

Xu, Ce, and Weiping Wang. "Explicit formulas of Euler sums via multiple zeta values." Journal of Symbolic Computation 101 (November 2020): 109–27. http://dx.doi.org/10.1016/j.jsc.2019.06.009.

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16

Chattopadhyay, Arghya, Parikshit Dutta, Suvankar Dutta, and Debashis Ghoshal. "Matrix model for Riemann zeta via its local factors." Nuclear Physics B 954 (May 2020): 114996. http://dx.doi.org/10.1016/j.nuclphysb.2020.114996.

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17

Lauder, Alan G. B. "Computing Zeta Functions of Kummer Curves via Multiplicative Characters." Foundations of Computational Mathematics 3, no. 3 (2003): 273–95. http://dx.doi.org/10.1007/s10208-002-0066-6.

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18

DİL, Ayhan, István MEZÖ, and Mehmet CENKCİ. "Evaluation of Euler-like sums via Hurwitz zeta values." TURKISH JOURNAL OF MATHEMATICS 41 (2017): 1640–55. http://dx.doi.org/10.3906/mat-1603-4.

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19

Hilgert, J., and F. Rilke. "Meromorphic continuation of dynamical zeta functions via transfer operators." Journal of Functional Analysis 254, no. 2 (2008): 476–505. http://dx.doi.org/10.1016/j.jfa.2007.10.003.

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20

Spruyt, L. L., M. J. Glennie, A. D. Beyers, and A. F. Williams. "Signal transduction by the CD2 antigen in T cells and natural killer cells: requirement for expression of a functional T cell receptor or binding of antibody Fc to the Fc receptor, Fc gamma RIIIA (CD16)." Journal of Experimental Medicine 174, no. 6 (1991): 1407–15. http://dx.doi.org/10.1084/jem.174.6.1407.

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Crosslinking of CD2 antigen on T lymphocytes and natural killer (NK) cells leads to a rise in cytoplasmic-free Ca2+ concentration ([Ca2+]i). However, CD2 seems unlikely to interact directly with the second messenger pathways since signaling via CD2 is poor in T cells that lack the T cell receptor (TCR) and is absent in L cells or insect cells that express CD2. In contrast, NK cells that are also TCR- can be triggered via CD2, but it is unclear as to whether the CD16 Fc receptor (FcR) may facilitate this effect. The CD16 transmembrane molecule is expressed in a complex with the zeta homodimer o

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21

Vivier, E., P. Morin, C. O'Brien, B. Druker, S. F. Schlossman, and P. Anderson. "Tyrosine phosphorylation of the Fc gamma RIII(CD16): zeta complex in human natural killer cells. Induction by antibody-dependent cytotoxicity but not by natural killing." Journal of Immunology 146, no. 1 (1991): 206–10. http://dx.doi.org/10.4049/jimmunol.146.1.206.

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Abstract NK cells are large granular lymphocytes capable of killing certain tumor cells and virally infected cells in a non-MHC-restricted manner. NK cells can also effect an antibody dependent cytotoxicity that is triggered by CD16, an FcR for IgG. In NK cells, CD16 is expressed in association with zeta, a signal transducing subunit of the TCR complex. Here we show that, just as T cell activation via the TCR complex results in tyrosine phosphorylation of zeta TCR, NK cell activation via CD16 results in tyrosine phosphorylation of zeta NK. Whereas antibody-dependent cytotoxicity also results i

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22

Boyadzhiev, Khristo N. "Several classical identities via Mellin’s transform." Mathematica Montisnigri 55 (2022): 5–11. http://dx.doi.org/10.20948/mathmontis-2022-55-1.

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We present a summation rule using Mellin’s transform to give short proofs of some important classical relations between special functions and Bernoulli and Euler polynomials. For example, the values of the Hurwitz zeta function at the negative integers are expressed in terms of Bernoulli polynomials. We also show identities involving exponential and Hermite polynomials.

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23

Grassia, P., and E. J. Hinch. "Computer simulations of polymer chain relaxation via Brownian motion." Journal of Fluid Mechanics 308 (February 10, 1996): 255–88. http://dx.doi.org/10.1017/s0022112096001474.

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Numerical simulations are employed to study the Brownian motion of a bead-rod polymer chain dissolved in a solvent. An investigation is conducted of the relaxation of the stress for an initially straight chain as it begins to coil.For a numerical time step δt in the simulations, conventional formulae for the stress involve averaging large ±O(1/(δt)1/2) contributions over many realizations, in order to yield an O(1) average. An alternative formula for the stress is derived which only contains O(1) contributions, thereby improving the quality of the statistics.For a chain consisting of n rods in

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24

Tsuchihashi, Zenta, Kevin Contrepois, Kazuishi Kubota, et al. "Abstract 5928: Baseline serum protein analysis of patients with interstitial lung disease/pneumonitis (ILD) in 3 trastuzumab deruxtecan (T-DXd) trials: DESTINY-Breast01, DESTINY-Breast04, and DESTINY-Lung01." Cancer Research 85, no. 8_Supplement_1 (2025): 5928. https://doi.org/10.1158/1538-7445.am2025-5928.

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Abstract Background: The mechanism of T-DXd-related ILD remains unknown. Understanding the pathophysiology of drug-induced ILD and identifying biomarkers for patients (pts) at higher risk of T-DXd-related ILD is crucial. Krebs von den Lungen-6 (KL-6) has been analyzed as a biomarker for ILD, but its relevance to T-DXd-related ILD is undetermined. This exploratory analysis aimed to identify candidate ILD risk biomarkers via proteomic analysis and evaluate KL-6 levels in serum samples from pts in 3 T-DXd studies. Methods: Baseline serum samples were collected from 189 pts in 3 T-DXd clinical tri

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25

Chen, Xi, and Chan-Liang Chung. "Note on q-Series Identities via the Telescoping Method." Mathematics 13, no. 15 (2025): 2345. https://doi.org/10.3390/math13152345.

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26

S, Isik, Yucel S, Yuzugullu Karakus Y, Ozel C, and Yapici E. "Immobilization of Trametes Versicolor Laccase onto Silica Aerogel via Covalent Attachment Method." Open Access Journal of Microbiology & Biotechnology 9, no. 4 (2024): 1–11. https://doi.org/10.23880/oajmb-16000315.

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Silica aerogels have a wide range of applications in enzyme immobilization studies as silica-based carrier materials with low density, high surface area and porosity. Their properties provide a more stable environment for enzymes and allow them to maintain their current activities. Immobilization of enzymes enables higher efficiency in enzyme-catalyzed industrial applications and reduces economic costs by reusing the immobilized enzyme. In this study, the enzyme laccase from T. versicolor was immobilized on aminated silica aerogel (SA-NH3 ) by covalent binding. SA-NH3 was prepared by a 24-hour

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27

Aharonov, D., and U. Elias. "Improved inequalities for trigonometric functions via Dirichlet and Zeta functions." Mathematical Inequalities & Applications, no. 3 (2013): 851–59. http://dx.doi.org/10.7153/mia-16-65.

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28

BALADI, VIVIANE. "Periodic orbits and dynamical spectra (Survey)." Ergodic Theory and Dynamical Systems 18, no. 2 (1998): 255–92. http://dx.doi.org/10.1017/s0143385798113925.

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Basic results in the rigorous theory of weighted dynamical zeta functions or dynamically defined generalized Fredholm determinants are presented. Analytic properties of the zeta functions or determinants are related to statistical properties of the dynamics via spectral properties of dynamical transfer operators, acting on Banach spaces of observables.

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29

Weissman, A. M., P. Ross, E. T. Luong, et al. "Tyrosine phosphorylation of the human T cell antigen receptor zeta-chain: activation via CD3 but not CD2." Journal of Immunology 141, no. 10 (1988): 3532–36. http://dx.doi.org/10.4049/jimmunol.141.10.3532.

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Abstract TCR stimulation by Ag or anti-receptor antibodies in murine T cells results in the activation of two independent protein kinases, protein kinase C (PKC) and a protein tyrosine kinase. Similarly, stimulation of murine Thy-1 or Ly-6 with mAb also results in activation of both of these kinase pathways. Tyrosine phosphorylation in all cases occurs on the TCR zeta-chain. It is known that Ag and anti-receptor antibodies activate PKC in human T cells. In this study we demonstrate that mitogen or anti-CD3 antibodies activate tyrosine phosphorylation of the human TCR-zeta-chain. PMA, which act

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30

Bauer, A., D. J. McConkey, F. D. Howard, et al. "Differential signal transduction via T-cell receptor CD3 zeta 2, CD3 zeta-eta, and CD3 eta 2 isoforms." Proceedings of the National Academy of Sciences 88, no. 9 (1991): 3842–46. http://dx.doi.org/10.1073/pnas.88.9.3842.

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31

Sofo, Anthony. "EVALUATING LOG-TANGENT INTEGRALS VIA EULER SUMS." Mathematical Modelling and Analysis 27, no. 1 (2022): 1–18. http://dx.doi.org/10.3846/mma.2022.13100.

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An investigation into the representation of integrals involving the product of the logarithm and the arctan functions, reducing to log-tangent integrals, will be undertaken in this paper. We will show that in many cases these integrals take an explicit form involving the Riemann zeta function, the Dirichlet eta function, Dirichlet lambda function and many other special functions. Some examples illustrating the theorems will be detailed.

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32

CELIK, SERMIN CAM, and HAYDAR GORAL. "EULER–ZAGIER SUMS VIA TRIGONOMETRIC SERIES." Mathematical Reports 25(75), no. 3 (2023): 381–412. http://dx.doi.org/10.59277/mrar.2023.25.75.3.381.

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In this note, we study the evaluations of Euler sums via trigonometric series. It is a commonly believed conjecture that for an even weight greater than seven, Euler sums cannot be evaluated in terms of the special values of the Riemann zeta function. For an even weight, we reduce the evaluations of Euler sums into the evaluations of double series and integrals of products of Clausen functions. We also re-evaluate Euler sums of odd weight using a new method based on trigonometric series.

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33

PRIZIAC, FABIEN. "EQUIVARIANT ZETA FUNCTIONS FOR INVARIANT NASH GERMS." Nagoya Mathematical Journal 222, no. 1 (2016): 100–136. http://dx.doi.org/10.1017/nmj.2016.12.

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To any Nash germ invariant under right composition with a linear action of a finite group, we associate its equivariant zeta functions, inspired from motivic zeta functions, using the equivariant virtual Poincaré series as a motivic measure. We show Denef–Loeser formulas for the equivariant zeta functions and prove that they are invariants for equivariant blow-Nash equivalence via equivariant blow-Nash isomorphisms. Equivariant blow-Nash equivalence between invariant Nash germs is defined as a generalization involving equivariant data of the blow-Nash equivalence.

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34

SAKUMA, NORIYOSHI, and RYOICHI SUZUKI. "SPECIAL VALUES OF SOME EXTENSIONS OF ZETA FUNCTION VIA BETA DISTRIBUTIONS." Infinite Dimensional Analysis, Quantum Probability and Related Topics 15, no. 02 (2012): 1250008. http://dx.doi.org/10.1142/s0219025712500087.

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In this paper, we show the Basel problem via the beta distributions, which include the free Poisson distribution and positive arcsine law. This is a generalization of Ref. 2 by Fujita. We also obtain special values of an extension of generalized Hurwitz–Lerch zeta function, which was introduced by Gang, Jain and Kalla.

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35

Fujita, Takahiko, and Yuko Yano. "Special values of the Hurwitz zeta function via generalized Cauchy variables." Kyoto Journal of Mathematics 52, no. 3 (2012): 465–77. http://dx.doi.org/10.1215/21562261-1625163.

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Fujita, Takahiko. "Special values of the Riemann zeta function via arcsine random variables." Kyoto Journal of Mathematics 55, no. 3 (2015): 673–86. http://dx.doi.org/10.1215/21562261-3089145.

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37

Tran, Long. "Local L-factors for GSp(4,F) via Novodvorsky's zeta integrals." Journal of Number Theory 196 (March 2019): 156–67. http://dx.doi.org/10.1016/j.jnt.2018.09.018.

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38

Donnadieu, E., A. Trautmann, M. Malissen, J. Trucy, B. Malissen, and E. Vivier. "Reconstitution of CD3 zeta coupling to calcium mobilization via genetic complementation." Journal of Biological Chemistry 269, no. 52 (1994): 32828–34. http://dx.doi.org/10.1016/s0021-9258(20)30066-1.

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39

Bloch, Spencer. "Heights via $$p$$-Adic Points." Proceedings of the Steklov Institute of Mathematics 320, no. 1 (2023): 39–50. http://dx.doi.org/10.1134/s0081543823010030.

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Abstract In a paper published in 1980, the author gave an adelic Tamagawa number interpretation for the Birch and Swinnerton-Dyer conjecture for divisors on abelian varieties. Some years later, in joint work with K. Kato, a more general adelic volume interpretation for zeta values of motives with weights $${<}\,{-1}$$ was proposed. In the paper at hand, the adelic volume Tamagawa number conjecture is generalized to deal with weight $$-1$$. As in the paper with Kato, adelic points of varieties are replaced by cohomology with adelic coefficients. Further, we introduce adelic tori over the ade

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40

Chotard-Ghodsnia, Roxana, Sandrine Lucas, Cecile Pagnoux, et al. "Elaboration of a Well-Ordered Porous Bioceramic via a Heterocoagulation Colloidal Process." Key Engineering Materials 396-398 (October 2008): 515–18. http://dx.doi.org/10.4028/www.scientific.net/kem.396-398.515.

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The purpose of this study was to develop bioceramics with a well-defined porous structure in order to control drug loading and release over time. Porous structures were obtained through colloidal processing, using polymethyl methacrylate (PMMA) microspheres as templates (core) and hydroxyapatite (HA) nanoparticles as inorganic building blocks (shell). Dispersed HA suspensions were prepared and their electrokinetic properties were studied to determine a dispersant giving a high positive zeta potential (opposite to the negative zeta potential of PMMA). Upon mixture of well-dispersed HA and PMMA

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41

Duplay, P., M. Thome, F. Hervé, and O. Acuto. "p56lck interacts via its src homology 2 domain with the ZAP-70 kinase." Journal of Experimental Medicine 179, no. 4 (1994): 1163–72. http://dx.doi.org/10.1084/jem.179.4.1163.

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p56lck, a member of the src family of protein tyrosine kinases, is an essential component in T cell receptor (TCR) signal transduction. p56lck contains a src homology 2 (SH2) domain found in a number of proteins involved in intracellular signaling. SH2 domains have been implicated in protein-protein interactions by binding to sequences in target proteins containing phosphorylated tyrosine. Using an in vitro assay, we have studied specific binding of tyrosine-phosphorylated proteins to a recombinant p56lck SH2 domain. In nonactivated Jurkat cells, two tyrosine-phosphorylated proteins were detec

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42

Kishimoto, Shohei, Makusu Tsutsui, Kazumichi Yokota, and Masateru Taniguchi. "Inertial focusing and zeta potential measurements of single-nanoparticles using octet-nanochannels." Lab on a Chip 21, no. 16 (2021): 3076–85. http://dx.doi.org/10.1039/d1lc00239b.

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Cascudo, Ignacio, and Reto Schnyder. "A note on secure multiparty computation via higher residue symbols." Journal of Mathematical Cryptology 15, no. 1 (2021): 284–97. http://dx.doi.org/10.1515/jmc-2020-0013.

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Abstract We generalize a protocol by Yu for comparing two integers with relatively small difference in a secure multiparty computation setting. Yu's protocol is based on the Legendre symbol. A prime number p is found for which the Legendre symbol (· | p) agrees with the sign function for integers in a certain range {−N, . . . , N} ⊂ ℤ. This can then be computed efficiently. We generalize this idea to higher residue symbols in cyclotomic rings ℤ[ζr ] for r a small odd prime. We present a way to determine a prime number p such that the r-th residue symbol (· | p) r agrees with a desired function

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44

Chebodaeva, Valentina, Mariya Sedelnikova, Margarita Khimich, et al. "Antibacterial Calcium Phosphate Coatings with Zinc Oxide Nanoparticles." Coatings 13, no. 11 (2023): 1921. http://dx.doi.org/10.3390/coatings13111921.

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Porous calcium phosphate coatings (C-P) with ZnO nanoparticles were obtained via the micro-arc oxidation method on a titanium substrate. ZnO nanoparticles were added to the C-P coatings to change the zeta potential and improve the coatings’ bioactivity and antibacterial properties. The samples with coatings were studied via scanning electron microscopy (SEM), X-ray diffraction, energy dispersive microanalysis, potentiodynamic polarization, and zeta potential measurement. The coatings modified with ZnO nanoparticles showed improved physical, electrochemical, and electrical properties, compared

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45

KUROKAWA, NOBUSHIGE, and MASATO WAKAYAMA. "RUELLE TYPE ZETA FUNCTIONS FOR TORI AND SOME ARITHMETICS." International Journal of Mathematics 15, no. 07 (2004): 691–715. http://dx.doi.org/10.1142/s0129167x0400251x.

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We introduce various Ruelle type zeta functions ζL(s) according to a choice of homogeneous "length functions" for a lattice L in [Formula: see text] via Euler products. The logarithm of each ζL(s) yields naturally a certain arithmetic function. We study the asymptotic distribution of averages of such arithmetic functions. Asymptotic behavior of the zeta functions at the origin s=0 are also investigated.

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46

Nooralian, Zoha, Mazeyar Parvinzadeh Gashti, and Izadyar Ebrahimi. "Fabrication of a multifunctional graphene/polyvinylphosphonic acid/cotton nanocomposite via facile spray layer-by-layer assembly." RSC Advances 6, no. 28 (2016): 23288–99. http://dx.doi.org/10.1039/c6ra00296j.

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Tran, A. C., D. Zhang, R. Byrn, and M. R. Roberts. "Chimeric zeta-receptors direct human natural killer (NK) effector function to permit killing of NK-resistant tumor cells and HIV-infected T lymphocytes." Journal of Immunology 155, no. 2 (1995): 1000–1009. http://dx.doi.org/10.4049/jimmunol.155.2.1000.

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Abstract Chimeric receptors in which a signaling component of the TCR complex such as zeta is fused directly to the ligand binding domain of a heterologous receptor or Ab have been shown to redirect the specific effector activity of T lymphocytes. We previously described the ability of two classes of such chimeric zeta-receptors bearing extracellular domains derived from either the HIV receptor CD4 (CD4 zeta) or an HIV-specific single chain Ab to redirect primary human CD8+ T cells to kill HIV-infected T cells. In this report we demonstrate that human NK cells can be genetically modified to ex

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Kresnik, Lan, Peter Majerič, Darja Feizpour, Klementina Pušnik Črešnar, and Rebeka Rudolf. "Hybrid Nanostructures of Fe3O4 and Au Prepared via Coprecipitation and Ultrasonic Spray Pyrolysis." Metals 14, no. 12 (2024): 1324. http://dx.doi.org/10.3390/met14121324.

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The coupled processes of coprecipitation and ultrasonic spray pyrolysis (USP) were used to synthesize Fe3O4-Au hybrid nanostructures. The first coprecipitation method enabled the synthesis of Fe3O4 nanoparticles by mixing iron salts’ ions (Fe2+ and Fe3+) and ammonia as the base, and USP was used as the coating process of the Fe3O4 nanoparticles with Au. The formatted hybrid nanostructures consist of Fe3O4 nanoparticles that have Au on their surface in the form of gold nanoparticles (AuNPs). AuNPs have a crystalline structure and range in size from 10 to 200 nm. Additional characterization tech

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Enoch, O., and D. Ogundipe. "A new representation of the riemann zeta function via its functional equation." American Journal of Scientific and Industrial Research 3, no. 4 (2012): 221–25. http://dx.doi.org/10.5251/ajsir.2012.3.4.221.225.

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Nordin, Azmeer, and Mohd Salmi Md Noorani. "Orbit Growth of Periodic-Finite-Type Shifts via Artin–Mazur Zeta Function." Mathematics 8, no. 5 (2020): 685. http://dx.doi.org/10.3390/math8050685.

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The prime orbit and Mertens’ orbit counting functions describe the growth of closed orbits in a discrete dynamical system in a certain way. In this paper, we prove the asymptotic behavior of these functions for a periodic-finite-type shift. The proof relies on the meromorphic extension of its Artin–Mazur zeta function.

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