논문KCI 등재
TWO IDENTITIES INVOLVING THETA FUNCTIONS
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초록
We aim to present two identities which reveal certain inter- esting relationships among three fundamental theta functions arising from the Jacobi’s triple product in an elementary way.
Abstract
We aim to present two identities which reveal certain inter- esting relationships among three fundamental theta functions arising from the Jacobi’s triple product in an elementary way.
참고문헌 (10)
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- M. P. Chaudhary, "Elementary proof for theta function identities", ~ (2017)
- Z. Cao, "Integer matrix exact covering sytems and product identities for theta functions", Inter. Math. Res. Notices, 19, pp.4471~4514 (2011)
- S. Cooper, "The quinntuble product identity", Int. J. Number Theory, 2(1), pp.115~161 (2006)
- M.D. Hirschorn, "A simple proof of an identity of Ramanujan", J. Austral. Math. Soc. Ser. A, 44(1), pp.42~45 (1988)
- G. J. Jacobi, "Fundamental Nova Theoriae Functionum Ellipticarum" (1829), Sumptibus Fratrum Borntrger
- H. Schroter, "De Aequationibus Modularibus, Disserrtatio Inaugurolis" (1854), Albertino, Lit-terarum University
- J. L. C. Villacorto, "Problems on theta function identities"
- J. L. C. Villacorto, "On Certain theta function identities", submitted, ~ (2017)
관련 논문AI추천
SOME ASSOCIATION BETWEEN Rα, Rβ AND Rm IN TERMS OF THETA FUNCTIONSB. R. S. Kumar, M. P. C. Raksha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제4호Some Result on Analogous to Ramanujan’s Remarkable Product of Theta FunctionB. N. DHARMENDRA, R. Raghavendra장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호ON SOME NEW MODULAR RELATIONS FOR RAMANUJAN'S REMARKABLE PRODUCT OF THETA FUNCTIONSB. HEMANTHKUMAR, M. S. MAHADEVA NAIKA, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2013 · 제23권 제3호New ramanujan’s remarkable product of Theta-function and their explicit evaluationsB. N. DHARMENDRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제4호On Some Modular Equations and Their Applications I김정환, 백대현, 유재명, 이성희, 이진희, 조만기대한수학회 · 대한수학회보2013 · 제50권 제3호On certain Ramanujan's modular equations of degree 7K. R. Vasuki, R. G. veeresha장전수학회 · Advanced Studies in Contemporary Mathematics2016 · 제26권 제1호
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