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 Fourier coefficients of weight 2 modular forms of prime level Bull. Korean Math. Soc. 2021 Vol. 58, No. 3, 593-602 https://doi.org/10.4134/BKMS.b200376Published online May 6, 2021Printed May 31, 2021 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 Downloads: Full-text PDF   Full-text HTML