Shivajee Gupta

most citedRiesz type criteria for

L

-functions in the Selberg class

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.NT2022★ 1 cited

Riesz type criteria for $L$ -functions in the Selberg class

Shivajee Gupta, Akshaa Vatwani

We formulate a generalization of Riesz-type criteria in the setting of $L$ -functions belonging to the Selberg class. We obtain a criterion which is sufficient for the Grand Riemann…

math.NT2022

Lambert series of logarithm, the derivative of Deninger's function $R (z)$ and a mean value theorem for $ζ (\frac{1}{2} - i t) ζ^{'} (\frac{1}{2} + i t)$

Soumyarup Banerjee, Atul Dixit, Shivajee Gupta

An explicit transformation for the series $n = 1 \sum \infty \frac{lo g ( n )}{e ^{n y} - 1},$ Re $(y) > 0$ , which takes $y$ to $1/ y$ , is obtained for the first time. Th…

Riesz type criteria for L-functions in the Selberg class

Lambert series of logarithm, the derivative of Deninger's function R(z) and a mean value theorem for ζ(21​−it)ζ′(21​+it)

Riesz type criteria for $L$ -functions in the Selberg class

Lambert series of logarithm, the derivative of Deninger's function $R (z)$ and a mean value theorem for $ζ (\frac{1}{2} - i t) ζ^{'} (\frac{1}{2} + i t)$