We study the distribution of large (and small) values of several families of L-functions on a
line Re (s)= σ, where 12<σ<1. We consider the Riemann zeta function ζ (s) in the t-aspect …

We prove several results on the distribution of values of L-functions at the edge of the critical
strip, by constructing and studying a large class of random Euler products. Among new …

doi: 10.1093/imrn/rnn106 Page 1 Lamzouri, Y. (2008) “The Two-Dimensional Distribution of
Values of ζ(1 + it),” International Mathematics Research Notices, Vol. 2008, Article ID rnn106, 48 …

In this paper, we establish a large sieve inequality of Elliott–Montgomery–Vaughan type for
Fourier coefficients of newforms. As applications, we give a significant improvement on the …

We study the distribution of extreme values of automorphic L-functions in a family of
holomorphic cusp forms with prime levels. First, we prove an asymptotic formula for a certain …

Let f be a Hecke cusp form of weight k for the full modular group, and let {λ f⁢(n)} n≥ 1 be
the sequence of its normalized Fourier coefficients. Motivated by the problem of the first sign …

In this article, we study the distribution of values of Dirichlet L‐functions, the distribution of
values of the random models for Dirichlet L‐functions, and the discrepancy between these …

We study the values of| L (1, F)| for Hecke–Maass cusp forms F on SL (n, Z)(n≥ 3) of large
Langlands parameters. New unconditional results on the extreme values and conditional …

arXiv:2105.04781v1 [math.NT] 11 May 2021 Page 1 arXiv:2105.04781v1 [math.NT] 11 May
2021 ON THE VALUE-DISTRIBUTION OF ITERATED INTEGRALS OF THE LOGARITHM OF …

We discuss in some detail the general problem of computing averages of convergent Euler
products, and apply this to examples arising from singular series for the $ k $-tuple …