Twisted mixed moments of the Riemann zeta function

2022/11/21 by Javier Pliego, Pliego, Javier
Mathematics · #Analytic Number Theory Research #Analytic and geometric function theory #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2211.11450

openalex publication_date 2022/11/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyse a collection of twisted mixed moments of the Riemann zeta function and establish the validity of asymptotic formulae comprising on some instances secondary terms of the shape P(log T) T^C for a suitable constant C<1 and a polynomial P(x). Such examinations are performed both unconditionally and under the assumption of a weaker version of the abc-conjecture.

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