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Transcendental Nature of Special Values of L-Functions

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 email: murty@mast.queensu.ca
Purusottam Rath
Affiliation:
Chennai Mathematical Institute, Padur PO, Siruseri 603103, Tamilnadu, India email: rath@cmi.ac.in
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Abstract

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In this paper, we study the non-vanishing and transcendence of special values of a varying class of $L$-functions and their derivatives. This allows us to investigate the transcendence of Petersson norms of certain weight one modular forms.

Keywords

11J8111J8611J91
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 63 , Issue 1 , 01 February 2011 , pp. 136 - 152
Copyright
Copyright © Canadian Mathematical Society 2011

References

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