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Vector-Valued Modular Forms on Finite Upper Half Planes

  • Yoshinori Hamahata
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11321)

Abstract

Finite upper half planes are finite field analogs of the Poincaré upper half plane. Vector-valued modular forms on finite upper half planes are introduced, and then equivariant functions on these planes are defined. The existence of these functions is an application of vector-valued modular forms.

Keywords

Vector-valued modular form Equivariant function Finite upper half plane 

Notes

Acknowledgments

The author would like to thank the anonymous referees for careful reading and insightful comments that improved this paper.

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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsOkayama University of ScienceOkayamaJapan

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