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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On some modular equations of degree $5$
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by Li-Chien Shen PDF
Proc. Amer. Math. Soc. 123 (1995), 1521-1526 Request permission

Abstract:

The main purpose of this paper is to examine certain well-known modular equations of degree 5 from a very intuitive angle. Unlike the classical treatment of this subject, which requires parametrization of certain key quantities, we will give direct proofs to these equations by recasting them as theta function identities which are quite interesting in their own right.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 1521-1526
  • MSC: Primary 33D10; Secondary 11B65
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1273524-3
  • MathSciNet review: 1273524