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Trace formula of certain Hecke operators for Γ0(qν)

Published online by Cambridge University Press:  22 January 2016

Hiroshi Saito  and
Masatoshi Yamauchi
Hiroshi Saito
Affiliation:
Department of Mathematics, College of General Education, Kyoto University
Masatoshi Yamauchi
Affiliation:
Department of Mathematics, College of General Education, Kyoto University
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Let SK(Γo(qν)) be the space of cusp forms of weight K with respect to the congruence subgroup Γ0(qν), and SK(Γ0(qν)) its subspace of all new forms in SK(Γ0(qν)), where q is a prime such that q ≥ 3. Now for f ∈ SK(Γ(qν)), put Then it is known that W induces an automorphism of SK(Γ0(qν)). On the other hand, for the character χ of (Z/qZ)× of order 2, let δx denote the “twisting operator” with respect to χ which was defined in [15] by Shimura, namely, for .

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 76 , November 1979 , pp. 1 - 33
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1979

References

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