Upper bounds for the integral moments of Dirichlet L-functions

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  • Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY

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In this paper, we apply Soundararajan’s method [12] to the Dirichlet L-functions associated to primitive Dirichlet characters and evaluate their 2k-th integral moments on the critical line under the assumption of the generalized Riemann hypothesis.

Representation Theory of Algebraic Groups and Related Topics : Proceedings of the workshop on Representation Theory, September 15,16, 2012 JOSAI UNIVERSITY / edited by Masatoshi IIDA, Takeyoshi KOGISO, Haruko NISHI, Kiyoko NISHIZAWA.

identifier:JOS-13447777-06_109

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