Relevant bibliographies by topics / Jacobi triple product

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Jacobi triple product'

Author: Grafiati
Published: 24 April 2022

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Journal articles on the topic "Jacobi triple product"

1

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

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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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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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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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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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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 (2018): 514–28. http://dx.doi.org/10.1214/16-aihp813.

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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 (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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Dissertations / Theses on the topic "Jacobi triple product"

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Leinonen, M. (Marko). "On various irrationality measures." Doctoral thesis, Oulun yliopisto, 2017. http://urn.fi/urn:isbn:9789526217031.

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Abstract This dissertation consists of four articles on irrationality measures. In the first paper we derive explicit irrationality measures by using the simple continued fraction expansions in a completely new way. In the second and third articles we use Padé approximations to construct irrationality measures. In the second paper we obtain an explicit irrationality measure for the values of q-exponential series, for which the earlier corresponding results are not as explicit. Furthermore, we construct a restricted irrationality measure for the values of q-exponential series, which is an impro
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Books on the topic "Jacobi triple product"

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An invitation to q-series: From Jacobi's triple product identity to Ramanujan's "most beautiful identity". World Scientific Pub Co., 2011.

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Book chapters on the topic "Jacobi triple product"

1

Wilf, Herbert S. "The Number-Theoretic Content of the Jacobi Triple Product Identity." In The Andrews Festschrift. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56513-7_11.

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Kac, Victor, and Pokman Cheung. "Jacobi’s Triple Product Identity." In Quantum Calculus. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0071-7_11.

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"The Jacobi Triple Product Identity." In Monographs in Number Theory. WORLD SCIENTIFIC, 2017. http://dx.doi.org/10.1142/9789813223370_0006.

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"Some applications of Jacobi's Triple Product Identity." In An Invitation to Q-Series. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814343855_0004.

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"1 An introduction to Jacobi’s triple product identity". У Theta functions, elliptic functions and π. De Gruyter, 2020. http://dx.doi.org/10.1515/9783110541915-001.

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"5 Elliptic functions and Jacobi’s triple product identity". У Theta functions, elliptic functions and π. De Gruyter, 2020. http://dx.doi.org/10.1515/9783110541915-005.

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"Jacobi's Triple Product Identity: First proof (via functional equation)." In An Invitation to Q-Series. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814343855_0002.

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"Ismail’s Proof of the ₁𝜓₁-Summation and Jacobi’s Triple Product Identity". У 𝑞-Series: Their Development and Application in Analysis, Number Theory, Combinatorics, Physics and Computer Algebra. American Mathematical Society, 1986. http://dx.doi.org/10.1090/cbms/066/13.

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"2 Jacobi’s theta functions of one variable and the triple product identity". У Theta functions, elliptic functions and π. De Gruyter, 2020. http://dx.doi.org/10.1515/9783110541915-002.

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"Jacobi's Triple Product Identity: Second proof (via Gaussian polynomials and the q-binomial theorem)." In An Invitation to Q-Series. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814343855_0003.

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Conference papers on the topic "Jacobi triple product"

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Bulat, P. V., N. B. Fedosenko, and V. V. Upyrev. "ON THE MECHANISM FOR MAINTAINING AN OVERDRIVEN DETONATION IN A ROTATING DETONATION ENGINE." In 8TH INTERNATIONAL SYMPOSIUM ON NONEQUILIBRIUM PROCESSES, PLASMA, COMBUSTION, AND ATMOSPHERIC PHENOMENA. TORUS PRESS, 2020. http://dx.doi.org/10.30826/nepcap2018-2-26.

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At present, virtually all jet engines are based on the Brighton thermodynamic cycle (combustion at constant pressure). The improvement of such engines has already reached its technological limit. A significant increase in the efficiency of jet engines (by 20%-25%) can be provided by a transition to the Fickett-Jacobs[4] thermodynamic cycle which uses detonation combustion. One possible realization is a rotating detonation engine (RDE) in which the combustion chamber is the space between two coaxial cylinders. In an ideal scheme, a fuel mixture is supplied from one end which is ignited by a sho
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