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

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

classification math.NT
keywords zetafunctionsdedekindexpressionsfindproductexpressionriemann
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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