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Transcendental Nature of Special Values of $L$-Functions

Published:2010-11-06
Printed: Feb 2011
• Sanoli Gun,
The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai 600113, India
• M. Ram Murty,
Department of Mathematics, Queen's University, Kingston, ON K7L 3N6
• Purusottam Rath,
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.