On a Conjecture of Chowla and Milnor
Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1328-1344
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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.
Gun, Sanoli; Murty, M. Ram; Rath, Purusottam. On a Conjecture of Chowla and Milnor. Canadian journal of mathematics, Tome 63 (2011) no. 6, pp. 1328-1344. doi: 10.4153/CJM-2011-034-2
@article{10_4153_CJM_2011_034_2,
author = {Gun, Sanoli and Murty, M. Ram and Rath, Purusottam},
title = {On a {Conjecture} of {Chowla} and {Milnor}},
journal = {Canadian journal of mathematics},
pages = {1328--1344},
year = {2011},
volume = {63},
number = {6},
doi = {10.4153/CJM-2011-034-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-034-2/}
}
TY - JOUR AU - Gun, Sanoli AU - Murty, M. Ram AU - Rath, Purusottam TI - On a Conjecture of Chowla and Milnor JO - Canadian journal of mathematics PY - 2011 SP - 1328 EP - 1344 VL - 63 IS - 6 UR - http://geodesic.mathdoc.fr/articles/10.4153/CJM-2011-034-2/ DO - 10.4153/CJM-2011-034-2 ID - 10_4153_CJM_2011_034_2 ER -
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