Giovanni Felder, Alexander Varchenko
Even powers of divisors and elliptic zeta values
We introduce and study elliptic zeta values, a two-parameter deformation of the values of Riemann's zeta function at positive integers. They are essentially Taylor coeffcients of the logarithm of the elliptic gamma function, and inherit the functional equations of this function. Elliptic zeta values at even integers are related to Eisenstein series and thus to sums of odd powers of divisors. The elliptic zeta values at odd integers can be expressed in terms of generating series of sums of even powers of divisors.
Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter
Print ISSN: 0075-4102
Volume: 2005, 03/2005
Pages: 195 - 201
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