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An analogue of Wilton's formula and values of Dedekind zeta functions

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arxiv 1611.08693 v5 pith:3GIDHWFZ submitted 2016-11-26 math.NT

Soumyarup Banerjee , Kalyan Chakraborty , Azizul Hoque This is my paper · ORCID
classification math.NT
keywords zetafunctionsdedekindexpressionsfindproductexpressionriemann
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J. R. Wilton obtained an expression for the product of two Riemann zeta functions. This expression played a crucial role to find the approximate functional equation for the product of two Riemann zeta functions in the critical region. We find analogous expressions for the product of two Dedekind zeta functions and then use these expressions to find some expressions for Dedekind zeta values attached to arbitrary real as well as quadratic number fields at any positive integer.

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Cited by 1 Pith paper

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  1. A Product Identity For Dirichlet Series Satisfying Hecke's Functional Equation

    math.NT 2025-04 reject novelty 6.0 of 10

    A proposed analogue of Wilton's product formula for Hecke series is invalid as stated because its Bessel integrals diverge on the claimed range Re(u)>k.

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