6级和10级的Eisenstein级数及其在Ramanujan函数恒等式中的应用

IF 0.4 Q4 MATHEMATICS Notes on Number Theory and Discrete Mathematics Pub Date : 2022-09-27 DOI:10.7546/nntdm.2022.28.3.581-588

A. I. Vijaya Shankar

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摘要

S. Ramanujan在他的第二本笔记本和丢失的笔记本的杂乱无章的页面上记录了不同层次的θ函数恒等式。本文利用爱森斯坦级数恒等式证明了6级和10级函数恒等式。

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Eisenstein series of level 6 and level 10 with their applications to theta function identities of Ramanujan

S. Ramanujan recorded theta function identities of different levels in the unorganized pages of his second notebook and the lost notebook. In this paper, we prove level 6 and level 10 theta function identities by using Eisenstein series identities.

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Notes on Number Theory and Discrete Mathematics MATHEMATICS-

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33.30%

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