Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900454 | Advances in Applied Mathematics | 2018 | 28 Pages |
Abstract
Using some basic properties of the gamma function, we evaluate a simple class of infinite products involving Dirichlet characters as a finite product of gamma functions and, in the case of odd characters, as a finite product of sines. As a consequence we obtain evaluations of certain multiple L-series. In the final part of this paper we derive expressions for infinite products of cyclotomic polynomials, again as finite products of gamma or of sine functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Karl Dilcher, Christophe Vignat,