A Study of Twisted Sums of Arithmetic Functions
Speaker: Saloni Sinha
Date: Tue, Oct 15, 2024
Location: PIMS, University of British Columbia, Online, Zoom
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Date: Tue, Oct 15, 2024
Location: PIMS, University of British Columbia, Online, Zoom
Subject: Mathematics, Number Theory
Class: Scientific
CRG: L-Functions in Analytic Number Theory
Abstract:
We study sums of the form $\sum_{n\leq x} f(n) n^{-iy}$, where $f$ is an arithmetic function, and we establish an equivalence between the Riemann Hypothesis and estimates on these sums. In this talk, we will explore examples of such sums with specific arithmetic functions, as well as discuss potential implications and future research directions.
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