24 citations · 73 across the 15 of their papers we have counts for
17 papers
A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet -functions Sampled at the Zeros of the Zeta Function
Fatma Çiçek, Steven M. Gonek, Scott J. Kirila
Let be primitive Dirichlet -functions different from the Riemann zeta function. Under suitable hypotheses we prove that any linear combination $a_…
Consecutive moderate gaps between zeros of the Riemann zeta function
Steven M. Gonek, Anurag Sahay
Let denote the ordinates of nontrivial zeros of the Riemann zeta function with positive imaginary parts. For fixed (but possibly small), larg…
The Uniform Distribution Modulo One of Certain Subsequences of Ordinates of Zeros of the Zeta Function
Fatma Çiçek, Steven M. Gonek
On the assumption of the Riemann hypothesis and a spacing hypothesis for the nontrivial zeros of the Riemann zeta function, we show that the sequence \[ Γ_{[a, b]} =\B…
Remarks on a Formula of Ramanujan
Andrés Chirre, Steven M. Gonek
Assuming an averaged form of Mertens' conjecture and that the ordinates of the non-trivial zeros of the Riemann zeta function are linearly independent over the rationals, we analyz…
Universality of -Functions over function fields
J. C. Andrade, S. M. Gonek
We prove that the Dirichlet -functions associated with Dirichlet characters in are universal. That is, given a modulus of high enough degree, -functions w…
Truncated Product Representations for -Functions in the Hyperelliptic Ensemble
J. C. Andrade, S. M. Gonek, J. P. Keating
We investigate the approximation of quadratic Dirichlet -functions over function fields by truncations of their Euler products. We first establish representations for such -f…