The Lindelöf class of L-functions II-Reference-Cited by-同舟云学术

The Lindelöf class of L-functions II

Published:2019-11 Issue:10 Volume:15 Page:2201-2221
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Dixit Anup B.¹,Murty V. Kumar²

Affiliation:

1. Department of Mathematics and Statistics, Queen’s University, 48 University Avenue, Kingston, Ontario Canada, K7L3N6, Canada

2. Department of Mathematics, University of Toronto, 40 St. George Street, Toronto, Ontario Canada, M5S2E4, Canada

Abstract

In 2002, the second author introduced a class of [Formula: see text]-functions [Formula: see text], which contains the Selberg class and forms a ring. In this paper, we study this class and prove that the invariant [Formula: see text], which is the generalization of degree in the Selberg class cannot take non-integer values between [Formula: see text] and [Formula: see text]. We also study the ring structure of [Formula: see text] showing that it is non-Noetherian.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042119501215

Reference9 articles.

1. On the distribution of zeros of linear combinations of Euler products

2. On the Selberg class of Dirichlet series: small degrees

3. Zur Theorie allgemeiner Zetafunctionen

4. Zur Theorie allgemeiner Zetafunktionen. II

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