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On a Conjecture of Chowla and Milnor

Published online by Cambridge University Press:  20 November 2018

Sanoli Gun ,
M. Ram Murty  and
Purusottam Rath
Sanoli Gun
Affiliation:
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India email: sanoli@imsc.res.in
M. Ram Murty
Affiliation:
Department of Mathematics, Queen’s University, Kingston, ON K7L 3N6, Canada email: murty@mast.queensu.ca
Purusottam Rath
Affiliation:
Chennai Mathematical Institute, Plot No H1, SIPCOT IT Park, Padur PO, Siruseri 603103, Tamil Nadu, India email: rath@cmi.ac.in
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Abstract

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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.

Keywords

11F2011F11
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 6 , 01 December 2011 , pp. 1328 - 1344
Copyright
Copyright © Canadian Mathematical Society 2011

References

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