Bessel functions and their application to classical number theory

Abstract: Finding solutions of differential equations has been a problem in pure mathematics since the invention of calculus by Newton and Leibniz in the 17th century. Bessel functions are solutions of a particular differential equation, called Bessel’s equation. In classical analytic number theory, there are several summation formulas or trace formulas involving Bessel functions. Two prominent such are the Kuznetsov trace formula and the Voronoi summation formula. In this talk, I will present some Voronoi type summation formulas and its application to Number theory.

classical analysis and ODEscombinatoricsnumber theory

Audience: researchers in the topic

Special Functions and Number Theory seminar

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