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arXiv · 1310.1745

Fourier coefficients of degree 2 Siegel-Eisenstein series with trivial character at squarefree level

Martin J. Dickson
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Abstract

We compute the Fourier coefficients of all degree 2 Siegel-Eisenstein series of square-free level $N$ transforming with the trivial character. We then apply use these formulae to present some explicit examples of higher representation numbers attached to non-unimodular quadratic forms.

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Martin J. Dickson. 2015-12-30. Fourier coefficients of degree 2 Siegel-Eisenstein series with trivial character at squarefree level. https://doi.org/10.1007/s11139-014-9633-0

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