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Weight 1 for Fricke Groups Γ(2pq)

  • Günter Köhler
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

For distinct odd primes p 1,p 2,p 3, the only new holomorphic eta products of weight 1 and level N=p 1 p 2 p 3 are \(\big[ 1, N \big]\), \(\big[p_{1}, p_{2} p_{3} \big]\), \(\big[ p_{2}, p_{1} p_{3} \big]\), \(\big[ p_{3}, p_{1} p_{2}\big]\), and they belong to the Fricke group. We do not expect to find linear combinations of these eta products and some complementary functions which are eigenforms.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  1. 1.Institute of MathematicsUniversity of WürzburgWürzburgGermany

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