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Fourier coefficients of real analytic Eisenstein series at various cusps (II)

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Abstract

The purpose of this paper is to consider the computation of the Fourier coefficients of real-analytic Eisenstein series associated to general cusps of Hecke congruence subgroups of arbitrary level. Explicit formulas for some coefficients in the Fourier expansion of the Eisenstein series of weight zero for general cusps are given.

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Acknowledgements

We wish to thank the referee for carefully reading our manuscript and giving many suggestions on the improvements of the paper.

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Authors and Affiliations

  1. School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, People’s Republic of China

    Huake Liu

  2. School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, 450045, Henan Province, People’s Republic of China

    Tianqin Wang

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  1. Huake Liu
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  2. Tianqin Wang
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Correspondence to Tianqin Wang.

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Supported by the National Natural Science Foundation of China (No. 11471112).

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Liu, H., Wang, T. Fourier coefficients of real analytic Eisenstein series at various cusps (II). Ramanujan J 55, 271–296 (2021). https://doi.org/10.1007/s11139-019-00243-z

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  • DOI: https://doi.org/10.1007/s11139-019-00243-z

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