Sturm bounds for Siegel modular forms of degree 2 and odd weights

Kikuta, Toshiyuki; Takemori, Sho

doi:10.1007/s00209-018-2213-z

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Sturm bounds for Siegel modular forms of degree 2 and odd weights

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Takemori, Sho
Max Planck Institute for Mathematics, Max Planck Society;

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https://doi.org/10.1007/s00209-018-2213-z
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Citation

Kikuta, T., & Takemori, S. (2019). Sturm bounds for Siegel modular forms of degree 2 and odd weights. Mathematische Zeitschrift, 291(3-4), 1419-1434. doi:10.1007/s00209-018-2213-z.

Cite as: https://hdl.handle.net/21.11116/0000-0004-76A4-E

Abstract

We correct the proof of the theorem in the previous paper presented by Kikuta, which concerns Sturm bounds for Siegel modular forms of degree $2$ and of even weights modulo a prime number dividing $2\cdot 3$. We give also Sturm bounds for them of odd weights for any prime numbers, and we
prove their sharpness. The results cover the case where Fourier coefficients are algebraic numbers.