Fatma Çiçek

In this talk, we will study the first and second twisted moments of some Rankin-Selberg convolution L-functions of an automorphic form of prime power level. Our first moment result can be used to prove that automorphic forms of suitable weight and...

A zero-free region of the Riemann zeta-function is a subset of the complex plane where the zeta-function is known to not vanish. In this talk we will discuss various computational and analytic techniques used to enlarge the zero-free region for the...

A result of Rademacher is that on the Riemann hypothesis, the positive ordinates of the nontrivial zeros of the Riemann zeta function, that is, the γ with γ>0, are uniformly distributed modulo one. This talk will be on a recent conditional result of...

Central limit theorem is a significant result in probability. It states that under some assumptions, the behavior of the average of identically distributed independent random variables tends towards that of the standard Gaussian random variable as...

We improve the best known to date result of Dress-Iwaniec-Tenenbaum, getting (log x)^2 instead of (log x)^(5/2). We use a weighted form of Vaughan's identity, allowing a smooth truncation inside the procedure, and an estimate due to Barban-Vehov and...

We compute extreme values of the Riemann Zeta function at the critical points of the zeta function in the critical strip. i.e. the points where ζ′(s)=0 and Rs1. We show that the values taken by the zeta function at these points are very similar to...