Kevin You

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20222026

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math.NT2024

Non-zero values of a family of approximations of a class of $L$ -functions

Arindam Roy, Kevin You

Consider the approximation $Z ~_{N} (s) = \sum_{n = 1}^{N} n^{- s} + χ (s) \sum_{n = 1}^{N} n^{1 - s}$ of the Riemann zeta function $ζ (s)$ , where $χ (s)$ is the ratio of the gamma functions.…

math.CA2024

Infinite intersections of doubling measures, weights, and function classes

Theresa C. Anderson, David Phillips, Anastasiia Rudenko +1

A series of longstanding questions in harmonic analysis ask if the intersection of all prime `` $p$ -adic versions" of an object, such as a doubling measure, or a Muckenhoupt or reve…

Non-zero values of a family of approximations of a class of L-functions

Infinite intersections of doubling measures, weights, and function classes

Non-zero values of a family of approximations of a class of $L$ -functions