arXiv Open Access 2022

Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series

Soumyarup Banerjee Vijay Sahani

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Abstrak

In this article, we obtain a transformation formula for the higher power of odd zeta values, which generalizes Ramanujan's formula for odd zeta values. We have also investigated many important applications, which in turn provide generalizations of the transformation formula of the Eisenstein series, Dedekind eta function etc.

Topik & Kata Kunci

math.NT

Penulis (2)

Soumyarup Banerjee

Vijay Sahani

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APA MLA BibTeX

Banerjee, S., Sahani, V. (2022). Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series. https://arxiv.org/abs/2206.13331

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Informasi Jurnal

Tahun Terbit: 2022
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓