Further verification of Harder's conjecture

Details Further verification of Harder's conjecture Further verification of Harder's conjecture

2012-03-26

arxiv.org/abs/1203.5611v1

Mathematics

Number Theory

9 pages, 1 table

Scientific paper

We verify a number of cases of Harder's conjecture about congruences between classical modular forms and Siegel modular forms. Our approach is based on Satoh's description of the module of vector-valued Siegel modular forms of weight (k, 2), an explicit description of the Hecke action on Fourier expansions, and the extensive algebraic number theory capabilities present in Sage.

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