The distribution of values of zeta and L-functions Page 701 The distribution of values of zeta
and L-functions Kannan Soundararajan Abstract We survey recent progress on understanding …

Abstract Let $ q\equiv 1\pmod 4$ and $\mathbb {F} _q $ be the finite field with $ q $
elements. Take $\sigma\in (1/2, 1) $ fixed. This article discusses the distribution of large …

In this paper we investigate the moments and the distribution of $ L (1,\unicode
[STIX]{x1D712} _ {D}) $, where $\unicode [STIX]{x1D712} _ {D} $ varies over quadratic …

In this article, we investigate the quantity mq:= min χ≠ χ 0| L′/L (1, χ)|, as q→∞ over the
primes, where L (s, χ) is the Dirichlet L-function attached to a non-principal Dirichlet …

We investigate the joint distribution of L-functions on the line $\sigma={1}/{2}+{1}/{G (T)} $
and $ t\in [T, 2T] $, where $\log\log T\leq G (T)\leq {\log T}/{(\log\log T)^ 2} $. We obtain an …

We study the distribution functions of several classical error terms in analytic number theory,
focusing on the remainder term in the Dirichlet divisor problem. We first bound the …

We show that for a typical fundamental discriminant $ D, $ the partial sums of the real
character $\chi_D $ change sign $\gg (\log\log D)/\log\log\log\log D $ times on a very short …

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 …

In this paper, we discuss the joint value distribution of $ L $-functions in a suitable class. We
obtain joint large deviations results in the central limit theorem for these $ L $-functions and …

In the paper, we prove a limit theorem in the sense of the weak convergence of probability
measures for the modified Mellin transform Z (s), s= σ+ it, with fixed 1/2< σ< 1, of the square …