Number Theory

    

A Framework to Explore Zeros of Analytic Functions

Authors: Yonatan Zilpa

This paper explores the zeros of symmetric analytic functions, focusing on the Riemann zeta function. Using the Abel-Plana formula and an auxiliary function, we investigate their distribution. Our approach reformulates the problem algebraically and employs a proof by contradiction. We demonstrate this approach by applying it to the Riemann zeta function.

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[v1] 2025-09-15 20:31:42

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