Статті в журналах з теми "Jacobi triple product identity"
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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.
Повний текст джерелаWenchang, 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.
Повний текст джерелаChan, 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.
Повний текст джерелаSCZECH, 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.
Повний текст джерелаJun-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.
Повний текст джерелаSrivastava, 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.
Повний текст джерелаBhargava, 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.
Повний текст джерелаCooper, 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.
Повний текст джерелаChaudhary, 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.
Повний текст джерелаDUVERNEY, 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.
Повний текст джерелаKIM, 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.
Повний текст джерелаCOOPER, 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.
Повний текст джерелаHirschhorn, 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.
Повний текст джерелаSrivastava, 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.
Повний текст джерелаZhou, 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.
Повний текст джерелаAdiga, 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.
Повний текст джерелаChaudhary, 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.
Повний текст джерелаWang, 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.
Повний текст джерелаYee, 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.
Повний текст джерелаGirstmair, 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.
Повний текст джерелаBalázs, 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.
Повний текст джерелаKaneko, 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.
Повний текст джерелаMilne, 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.
Повний текст джерелаKolitsch, 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.
Повний текст джерелаChan, 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.
Повний текст джерелаHammond, 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.
Повний текст джерелаBlanco-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.
Повний текст джерелаGritsenko, 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.
Повний текст джерелаJosuat-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.
Повний текст джерелаWard, 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.
Повний текст джерелаSrivastava, 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.
Повний текст джерелаSchneider, 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.
Повний текст джерелаSrivastava, 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.
Повний текст джерелаZOTOV, 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.
Повний текст джерелаBhargava, 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.
Повний текст джерелаBREMNER, 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.
Повний текст джерелаChaudhary, 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.
Повний текст джерелаWarnaar, 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.
Повний текст джерелаApagodu, 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.
Повний текст джерелаOstrovsky, 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.
Повний текст джерелаAbramov, 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.
Повний текст джерелаChaudhary, 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.
Повний текст джерелаAbramov, 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.
Повний текст джерелаHillman, 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.
Повний текст джерелаSinger-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.
Повний текст джерелаHIRSCHHORN, 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.
Повний текст джерелаChistoserdova, 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.
Повний текст джерелаBurbank, 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.
Повний текст джерелаBenton, 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.
Повний текст джерелаDelatte, 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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