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An explicit Hecke's bound and exceptions of even unimodular quadratic forms

An explicit Hecke's bound and exceptions of even unimodular quadratic forms

We prove an explicit Hecke's bound for the Fourier coefficients of holomorphic cusp forms for SL 2 ( Z ) and apply it to derive effectively computable constants c ( m ) for each dimension m , divisible by 8, for which every even integer is always represented by every …