This paper has two parts. The first part surveys Euler's work on the constant $\gamma=
0.57721\cdots $ bearing his name, together with some of his related work on the gamma …

We consider some questions related to the signs of Hecke eigenvalues or Fourier
coefficients of classical modular forms. One problem is to determine to what extent those …

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 …

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 …

The frequency and the structure of large character sums Page 1 DOI 10.4171/JEMS/799 J.
Eur. Math. Soc. 20, 1759–1818 c European Mathematical Society 2018 Jonathan Bober · Leo …

We investigate the distribution of the Riemann zeta-function on the line Re (s)= σ. For ½<
σ≤ 1 we obtain an upper bound on the discrepancy between the distribution of ζ (s) and that …

We obtain an asymptotic formula for all moments of Dirichlet $ L $-functions $ L (1,\chi) $
modulo $ p $ when averaged over a subgroup of characters $\chi $ of size $(p-1)/d $ with …

We give an asymptotic formula for the 2 k th moment of a sum of multiplicative Steinhaus
variables. This was recently computed independently by Harper, Nikeghbali and Radziwiłł …

We give a short review of recent progress on determining the order of magnitude of
moments $\mathbb {E}|\sum_ {n\leq x} f (n)|^{2q} $ of random multiplicative functions, and of …

We study the value-distribution of Dirichlet L-functions L (s, χ) in the half-plane σ= ℜ s> 1/2.
The main result is that a certain average related to the logarithm of L (s, χ) with respect to χ …