The cuspidal class number formula for certain quotient curves of the modular curve X_0(M) by Atkin-Lehner involutions

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概要

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• We calculate the cuspidal class number of a certain quotient curve of the modular curve X0(M) with M square-free. For each factor r of M, let wr denote the Atkin-Lehner type involution of X0(M). Let M0 be a divisor of M, and W0 the subgroup of the automorphism group of X0(M) consisting of all wr with r dividing M0. Our object is the quotient of X0(M) by W0. In this paper, we consider the case where M is odd.

• 社団法人 日本数学会の論文
• 2010-01-01

著者

• Takagi Toshikazu

  Faculty Of Arts And Sciences At Fujiyoshida Showa University

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