The Zeroes of Functions Related to Dirichlet L-Functions
Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 53-57
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Hecke, [3], has shown for x a real Dirichlet character modulo q, the associated Dirichlet L-function L(s, x) has infinitely many zeroes on the line Here, using a method of Polya, [5], we show that both the real and imaginary parts of a function associated to L(s, x) through the functional equation, have infinitely many zeroes on any line
Weinstein, Lenrd. The Zeroes of Functions Related to Dirichlet L-Functions. Canadian mathematical bulletin, Tome 24 (1981) no. 1, pp. 53-57. doi: 10.4153/CMB-1981-008-2
@article{10_4153_CMB_1981_008_2,
author = {Weinstein, Lenrd},
title = {The {Zeroes} of {Functions} {Related} to {Dirichlet} {L-Functions}},
journal = {Canadian mathematical bulletin},
pages = {53--57},
year = {1981},
volume = {24},
number = {1},
doi = {10.4153/CMB-1981-008-2},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1981-008-2/}
}
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