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The Zeroes of Functions Related to Dirichlet L-Functions

Published online by Cambridge University Press:  20 November 2018

Lenrd Weinstein
Lenrd Weinstein*
Affiliation:
Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
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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

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 24 , Issue 1 , 01 March 1981 , pp. 53 - 57
Copyright
Copyright © Canadian Mathematical Society 1981

References

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