Twisted mixed moments of the Riemann zeta function

Javier Pliego

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arXiv · 2211.11450

Twisted mixed moments of the Riemann zeta function

Javier Pliego

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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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Javier Pliego. 2022-11-21. Twisted mixed moments of the Riemann zeta function. https://arxiv.org/abs/2211.11450

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