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Hecke operators on rational period functions on the Hecke groups

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Abstract

Hecke operators on rational period functions on the modular group have beend defined based on modular integrals. We give a purely algebraic definition of Hecke operators of rational period functions on the Hecke groups \( G({\sqrt 2}) \) and \( G({\sqrt 3}) \) and investigate their main properties. This is done with the help of description on the action of Hecke operators on rational period functions on the modular group.

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Authors and Affiliations

  1. Department of Mathematics, Pohang Institute of Science and Technology, Pohang, Korea

    YoungJu Choie

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  1. YoungJu Choie
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Additional information

This work was partially supported by KOSEF Research Grant KAST-91-08-00-07 and KOSEF 921 -0100-018-2

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Choie, Y. Hecke operators on rational period functions on the Hecke groups. Results. Math. 25, 40–49 (1994). https://doi.org/10.1007/BF03323139

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