The Fourier coefficients of the McKay-Thompson series and the traces of CM values, an announcement (Algebraic Number Theory and Related Topics 2016)

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This is an announcement of our results [8] on the arithmetic formulas for the Fouriercoefficients of the McKay-Thompson series of square-free level N.The elliptic modular function j(Ƭ) enjoys many beautiful properties. Its Fourier coeffi-cients are related to the Monster group, and its CM values generate abelian extensions overimaginary quadratic fields. Kaneko established a relation between the Fourier coefficients andCM values. In this article, we are concerned with analogues of Kaneko's result for the McKay-Thompson series.

"Algebraic Number Theory and Related Topics 2016". November 28 - December 2, 2016. edited by Yasuo Ohno, Hiroshi Tsunogai and Toshiro Hiranouchi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed.

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詳細情報 詳細情報について

  • CRID
    1050569159968982656
  • NII論文ID
    120006950561
  • NII書誌ID
    AA12196120
  • ISSN
    18816193
  • HANDLE
    2433/260624
  • 本文言語コード
    en
  • 資料種別
    departmental bulletin paper
  • データソース種別
    • IRDB
    • CiNii Articles

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