Classical approach to Ramanujan’s modular equations of septic degree

In this paper, we prove six Ramanujan’s modular equations of septic degree by employing Ramanujan’s 1 ψ 1 summation formula and certain theta function identities.

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Bibliographic Details
Published in:The Ramanujan journal 2020-04, Vol.51 (3), p.553-561
Main Authors: Vasuki, K. R., Mahadevaswamy
Format: Article
Language:English
Subjects:
Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Identities
Mathematical analysis
Mathematics
Mathematics and Statistics
Number Theory
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Description
Summary:In this paper, we prove six Ramanujan’s modular equations of septic degree by employing Ramanujan’s 1 ψ 1 summation formula and certain theta function identities.
ISSN:1382-4090
1572-9303
DOI:10.1007/s11139-018-0118-4