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Research in the Mathematical Sciences Volume 2018 Issue 1801

Subject Areas: Applied Mathematics; ; ;
ISSN: 2522-0144
SJR: 17

Open Access

Journal Article

A study of elliptic gamma function and allies

Paşol, Vicenţiu; Zudilin, Wadim

2017 Mathematical Physics

doi:10.1007/s40687-018-0158-9

Abstract: We study analytic and arithmetic properties of the elliptic gamma function $$ \prod_{m,n=0}^\infty\frac{1-x^{-1}q^{m+1}p^{n+1}}{1-xq^mp^n}, \qquad |q|,|p|<1, $$ in the regime $p=q$; in particular, its connection with the elliptic dilogarithm and a formula of S. Bloch. We further extend...

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