arXiv Analytics

Sign in

arXiv:2311.16371 [math.NT]AbstractReferencesReviewsResources

Omega theorems for logarithmic derivatives of zeta and $L$-functions

Daodao Yang

Published 2023-11-27Version 1

We establish several new $\Omega$-theorems for logarithmic derivatives of the Riemann zeta function and Dirichlet $L$-functions. In particular, this improves on earlier work of Landau (1911), Bohr-Landau (1913), and recent work of Lamzouri.

Related articles: Most relevant | Search more
arXiv:1901.08423 [math.NT] (Published 2019-01-24)
Sharp upper bounds for fractional moments of the Riemann zeta function
arXiv:math/0612843 [math.NT] (Published 2006-12-29, updated 2008-01-23)
Lower order terms in the full moment conjecture for the Riemann zeta function
arXiv:1002.4171 [math.NT] (Published 2010-02-22, updated 2010-02-28)
Two arguments that the nontrivial zeros of the Riemann zeta function are irrational