Petersson trace formula
id:
petersson-trace-formula-304-7931345
title:
Petersson trace formula
text:
In analytic number theory, the Petersson trace formula is a kind of orthogonality relation between coefficients of a holomorphic modular form. It is a specialization of the more general Kuznetsov trace formula. In its simplest form the Petersson trace formula is as follows. Let F be an orthonormal basis of S k , the space of cusp forms of weight k > 2 on S L 2 . Then for any positive integers m , n we have where δ is the Kronecker delta function, S is the Kloosterman sum and J is the Bessel func
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https://en.wikipedia.org/wiki/Petersson_trace_formula
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2023-03-31T19:50:43Z
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