Representation on Average of Binary Quadratic Forms by an Integral Quaternary Quadratic Form

Details Representation on Average of Binary Quadratic Forms by an Integral Quaternary Quadratic Form Representation on Average of Binary Quadratic Forms by an Integral Quaternary Quadratic Form

2012-02-22

arxiv.org/abs/1202.4909v2

Mathematics

Number Theory

v2: Corrected the error term. Added a section speculating about possible estimates for averages of Fourier coefficients of Sie

Scientific paper

We investigate the average of the number of representations of an integral
binary quadratic form of fixed discriminant -d by certain integral quaternary
quadratic forms. We also find an estimate on the number of binary forms of
fixed discriminant -d which are represented by the given quaternary form.

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