Equivalent criterion for the grand Riemann hypothesis associated to Maass cusp forms

2021/12/15 by Banerjee, Soumyarup, Kumar, Rahul · 1 citation
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2112.08143

Abstract

In this article, we obtain transformation formulas analogous to the identity of Ramanujan, Hardy and Littlewood in the setting of primitive Maass cusp form over the congruence subgroup Γ₀(N) and also provide an equivalent criterion of the grand Riemann hypothesis for the L-function associated to the primitive Maass cusp form over Γ₀(N).

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• Number Field Analogue of Jacobi Theta Relation And Zeros of Dedekind zeta function on Re(s)=1/2

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