A bstract We derive gravitational backgrounds that are asymptotically Anti-de Sitter, have a
regular black hole horizon and which deep in the interior exhibit mixmaster chaotic …

We estimate the sums∑ c≤ x S (m, n, c, χ) c, where the are Kloosterman sums associated
with a multiplier system of half-integral weight on the modular group. Our estimates are …

With the method of moments and the mollification method, we study the central L-values of
GL (2) Maass forms of weight 0 and level 1 and establish a positive-proportional …

Asymptotic formulas for the second moments of L-series associated to holomorphic cusp
forms on the critical line arXiv:1608.0055 Page 1 Asymptotic formulas for the second …

We asymptotically evaluate the fourth moment of truncated Eisenstein series with large
Laplacian eigenvalue. With suitable normalization our main term equals 3, which coincides …

Recently R. Khan and M. Young proved a mean Lindel\"{o} f estimate for the second moment
of Maass form symmetric-square $ L $-functions $ L (\text {sym}^ 2 u_ {j}, 1/2+ it) $ on the …

In the prequel, a sharp bound in the level aspect on the fourth moment of Hecke--Maa {\ss}
forms with an inexplicit (in fact exponential) dependency on the eigenvalue was given. In …

We describe a generalization and improvement of Diaz y Diaz's search technique for
imaginary quadratic fields with 3-rank at least 2, one of the most successful algorithms for …

We provide efficient methods to evaluate the Riemann zeta, the Lerch zeta and the Dirichlet
$ L $-functions. The method uses the Riemann-Siegel (RS) type formulas and a modified …

We compute the Cheeger constants of a collection of hyperbolic surfaces corresponding to
maximal non-cocompact arithmetic Fuchsian groups, and to subgroups which are the …