An explicit formula for the Fourier coefficients of Eisenstein series attached to lattices
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We prove an explicit formula for local densities of inhomogeneous quadratic forms. The formula is derived by calculating explicitly the Fourier coefficients of various types of Eisenstein series.
KeywordsEisenstein series Local density Jacobi forms
Mathematics Subject Classification11F30 11F27
We thank the referee for suggesting many improvements to the paper. The author is supported by the Grant-in-Aid for JSPS Fellows.