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Multiple zeta functions and asymptotic structure of free Abelian groups of finite rank

Authors:	VM Petrogradsky

Institution:	Faculty of Mathematics, Ulyanovsk State University, Leo Tolstoy 42, Ulyanovsk, 432970, Russia

Abstract:	We define the multiple zeta function of the free Abelian group Z^d as ζ_Z^d(s₁,…,s_d)=∑_\|Z^d:H\|<∞α₁(H)^−s₁?α_d(H)^−s_d,

Keywords:	20E07 11M41 11R54 20K01 05A15 20F69 13F05
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