On a Conjecture of Chowla and Milnor

Gun, Sanoli ; Ram Murty, M. ; Rath, Purusottam (2011) On a Conjecture of Chowla and Milnor Canadian Journal of Mathematics, 63 (6). pp. 1328-1344. ISSN 0008-414X

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Official URL: http://doi.org/10.4153/CJM-2011-034-2

Related URL: http://dx.doi.org/10.4153/CJM-2011-034-2

Abstract

In this paper, we investigate a conjecture due to S. and P. Chowla and its generalization by Milnor. These are related to the delicate question of non-vanishing of L-functions associated to periodic functions at integers greater than 1. We report on some progress in relation to these conjectures. In a different vein, we link them to a conjecture of Zagier on multiple zeta values and also to linear independence of polylogarithms.

Item Type:Article
Source:Copyright of this article belongs to Canadian Mathematical Society.
Keywords:11F20; 11F11.
ID Code:117989
Deposited On:10 May 2021 12:33
Last Modified:10 May 2021 12:33

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