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Transcendental Nature of Special Values of $L$-Functions
  Published:2010-11-06
 Printed: Feb 2011
Canadian Journal of Mathematics
  • 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,
    Chennai Mathematical Institute, Padur PO, Siruseri 603103, Tamilnadu, India
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Abstract

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.
MSC Classifications: 11J81, 11J86, 11J91 show english descriptions Transcendence (general theory)
Linear forms in logarithms; Baker's method
Transcendence theory of other special functions 11J81 - Transcendence (general theory)
11J86 - Linear forms in logarithms; Baker's method
11J91 - Transcendence theory of other special functions
 
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