Anushree Gupta

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20202023

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math.NT2023

A Dirichlet character analogue of Ramanujan's formula for odd zeta values

Anushree Gupta, Md Kashif Jamal, Nilmoni Karak +1

In 2001, Kanemitsu, Tanigawa, and Yoshimoto studied the following generalized Lambert series, $n = 1 \sum \infty \frac{n ^{N - 2 h}}{exp ( n ^{N} x ) - 1},$ for $N \in N$ and…

math.NT2021

On Ramanujan's formula for $ζ (1/2)$ and $ζ (2 m + 1)$

Anushree Gupta, Bibekananda Maji

Page 332 of Ramanujan's Lost Notebook contains a compelling identity for $ζ (1/2)$ , which has been studied by many mathematicians over the years. On the same page, Ramanujan also re…

A Dirichlet character analogue of Ramanujan's formula for odd zeta values

On Ramanujan's formula for ζ(1/2) and ζ(2m+1)

On Ramanujan's formula for $ζ (1/2)$ and $ζ (2 m + 1)$