We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-functions. We support our conjecture using arguments from random matrix theory, conjectures for moments of L-functions, and also by assuming a random model for the primes
In this thesis a step by step proof of the famous prime number theorem is given. This theorem descri...
We consider a model of the Riemann zeta function on the critical axis and study its maximum over int...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-f...
In recent years there has been a growing interest in connections between the statistical properties ...
Abstract. We study the distribution of large (and small) values of several families of L-functions o...
The distribution of critical zeros of the Riemann zeta function ζ(s) and other L-functions lies at t...
The value distribution of the Riemann zeta function $\zeta(s)$ is a classical question. Despite the ...
On the hypothesis that the 2k-th mixed moments of Hardy's Z-function and its derivative are correctl...
In previous work, it was shown that if certain series based on sums over primes of non-principal Dir...
Abstract: Moments of L-functions on the critical line (Re(s) = 1/2) have been extensively studied du...
The group of rational points on an elliptic curve is one of the more fascinating number theoretic ob...
In recent years there has been a growing interest in connections between the statistical properties...
These notes present recent results in the value-distribution theory of L-functions with emphasis on ...
AbstractConrey, Farmer, Keating, Rubinstein, and Snaith, recently conjectured formulas for the full ...
In this thesis a step by step proof of the famous prime number theorem is given. This theorem descri...
We consider a model of the Riemann zeta function on the critical axis and study its maximum over int...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...
We conjecture the true rate of growth of the maximum size of the Riemann zeta-function and other L-f...
In recent years there has been a growing interest in connections between the statistical properties ...
Abstract. We study the distribution of large (and small) values of several families of L-functions o...
The distribution of critical zeros of the Riemann zeta function ζ(s) and other L-functions lies at t...
The value distribution of the Riemann zeta function $\zeta(s)$ is a classical question. Despite the ...
On the hypothesis that the 2k-th mixed moments of Hardy's Z-function and its derivative are correctl...
In previous work, it was shown that if certain series based on sums over primes of non-principal Dir...
Abstract: Moments of L-functions on the critical line (Re(s) = 1/2) have been extensively studied du...
The group of rational points on an elliptic curve is one of the more fascinating number theoretic ob...
In recent years there has been a growing interest in connections between the statistical properties...
These notes present recent results in the value-distribution theory of L-functions with emphasis on ...
AbstractConrey, Farmer, Keating, Rubinstein, and Snaith, recently conjectured formulas for the full ...
In this thesis a step by step proof of the famous prime number theorem is given. This theorem descri...
We consider a model of the Riemann zeta function on the critical axis and study its maximum over int...
L functions based on Dirichlet characters are natural generalizations of the Riexnann zeta (s) funct...