Djordje Milićević

On moments of twisted L-functions

We study the average of the product of the central values of two

Sub-Weyl subconvexity for Dirichlet -functions to prime power moduli

L

Kloosterman sums in residue classes

-functions of modular forms

Some applications of smooth bilinear forms with Kloosterman sums

f

Bounds for eigenforms on arithmetic hyperbolic

and

3

g

-manifolds

twisted by Dirichlet characters to a large prime modulus

Non-vanishing of Dirichlet L-functions in Galois orbits

q

The Second Moment of Twisted Modular L-Functions

. As our principal tools, we use spectral theory to develop bounds on averages of shifted convolution sums with differences ranging over multiples of

Large values of eigenfunctions on arithmetic hyperbolic surfaces

q