Some Hecke Eigen-Values for Г(q)

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概要

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• We give some explicit eigen-values of Hecke operators for the cusp forms of weight 2 for the principal congruence subgroups Г(q) for several primes q, using the Eichler's formula [1]. For the prime q≡3 mod 4, the cusp forms correponding to the degree q-1 representation of the group SL_2 (Z/qZ) are viewed as the cusp forms for Г_0 (q^2). Using these cusp forms, we give an example of the class field over the imaginary quadratic field Q (√<-q>) for q=43 which is constructed by Shimura's theory of class fields over the quadratic fields.

著者

• 山内 正敏

  関西大学総合情報学部

関連論文

• Some Hecke Eigen-Values for Г(q)

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