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Geometric Function Theory is a vibrant field that investigates the geometric properties of analytic functions, including univalence, starlikeness, and convexity, which are key to understanding their ...
In this paper we develop the local theory for a Jacquet's relative trace formula. The local theory is essential to the application of the trace formula: it is an identity of Besel and relative Bessel ...
For the Epstein zeta function of an n-ary positive definite quadratic form, n - 1 generalizations of the Selberg-Chowla formula (for the binary case) are obtained. Further, it is shown that these n - ...