Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2021; 58(3): 593-602

Online first article May 6, 2021      Printed May 31, 2021

https://doi.org/10.4134/BKMS.b200376

Copyright © The Korean Mathematical Society.

Fourier coefficients of weight 2 modular forms of prime level

Yan-Bin Li

Tongji University

Abstract

We use a kind of modified Hurwitz class numbers to express the number of representing a positive integer by some ternary quadratic forms such as the sum of three squares, and the Fourier coefficients of weight $2$ modular forms of prime level with trivial character.

Keywords: Hurwitz class numbers, sum of three squares, Fourier coefficients

MSC numbers: 11F30, 11D45, 11E41, 11F11

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