Amod AgasheAffiliation: Florida State University Title Of Talk: The zeros of the Riemann zeta function and its generalization to modular forms Abstract: The Riemann hypothesis says that the Riemann zeta function should have zeros only at complex numbers with real part $1/2$ and at negative even integers. We will study the completed Riemann zeta function (the one with the Gamma factor) and discuss how it sheds some light heuristically on the location of the zeros. There is a generalization of the Riemann hypothesis to L-functions of modular forms, and we will discuss what can be said in this context.
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