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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Proceedings of the Jangjeon Mathematical Society Proceedings of the Jangjeon Mathematical Society Vol.20 No.1
- 발행연도
- 2017.1
- 수록면
- 23 - 34 (12page)
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초록· 키워드
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In his lost notebook, Ramanujan claimed that the "circular" summation of nth power of his symmetric theta function f(a, b) satisfies a factorization of the form f(a, b)F(ab). In this paper, we obtain new circular summation formula of theta functions using the theory of elliptic functions. As an application, we also obtain few interesting identity of the theta functions.
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참고문헌 (23)
참고문헌 신청
G. E. Andrews / 2012 / Ramanujan's Lost Notebook Part III / Springer Verlang
B. C. Berndt / 1991 / Ramanujan's Notebooks Part III / Springer-Verlag
S. H. Chan / 2010 / On a new circular summation of theta functions / J. Number Theory 130:1190~1196
Y. Cai / 2013 / Some circular summation formulas for the theta functions / Bounded Value Probl 2013:59
Y. Cai / 2014 / Some new circular summation formulas of theta functions / Integral Transforms Spec. Funct 25:497~507
B. C. Berndt / 1991 / Ramanujan's Notebooks Part III / Springer-Verlag
S. H. Chan / 2010 / On a new circular summation of theta functions / J. Number Theory 130:1190~1196
Y. Cai / 2013 / Some circular summation formulas for the theta functions / Bounded Value Probl 2013:59
Y. Cai / 2014 / Some new circular summation formulas of theta functions / Integral Transforms Spec. Funct 25:497~507
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