Title of article :
On the transcendence of certain Petersson inner products
Author/Authors :
Ram Murty, M. no Affiliation , Kumar Murty, V. no Affiliation
Abstract :
We show that for all normalized Hecke eigenforms f with weight one and of CM type, the number (f,f) where (⋅,⋅) denotes the Petersson inner product, is a linear form in logarithms and hence transcendental.
Keywords :
CM modular forms , Petersson inner product , transcendence
Journal title :
Bulletin of the Iranian Mathematical Society
