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Petersson trace formula

 Home Mathematics Fields of mathematics Mathematical analysis Theorems in analysis Theorems in analytic number theory
 0 By others on same topic  0 Discussions  1970-01-01  See my version
The Petersson trace formula is an important result in the theory of modular forms and number theory. It provides a relationship between the eigenvalues of Hecke operators on modular forms and the values of L-functions at certain critical points. The formula is named after the mathematician Heinrich Petersson, who was instrumental in its development. In its most common form, the Petersson trace formula connects the spectral theory of automorphic forms with the arithmetic of numbers through the Fourier coefficients of modular forms.

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  1. Theorems in analytic number theory
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