Výsledky vyhledávání - "Cicek, Fatma"

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The Uniform Distribution Modulo One of Certain Subsequences of Ordinates of Zeros of the Zeta Function

Publikováno v: Math. Proc. Camb. Phil. Soc. 176 (2024) 593-608

On the assumption of the Riemann hypothesis and a spacing hypothesis for the nontrivial zeros $\frac12+i\gamma$ of the Riemann zeta function, we show that the sequence \[ \Gamma_{[a, b]} =\Bigg\{ \gamma : \gamma>0 \quad \mbox{and} \quad \frac{ \log\b

Externí odkaz: http://arxiv.org/abs/2310.10119

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Mean values of long Dirichlet polynomials with divisor coefficients

Autor: Cicek, Fatma, Hamieh, Alia, Ng, Nathan

In this article, we prove an asymptotic formula for the mean value of long smoothed Dirichlet polynomials with divisor coefficients. Our result has a main term that includes all lower order terms and a power saving error term. This is derived from a

Externí odkaz: http://arxiv.org/abs/2309.08057

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A Central Limit Theorem for Linear Combinations of Logarithms of Dirichlet $L$-functions

Autor: Çiçek, Fatma

The purpose of this paper is to generalize our earlier work on the logarithm of the Riemann zeta-function to linear combinations of logarithms of primitive Dirichlet $L$-functions with constant real coefficients. Under the assumption of suitable hypo

Externí odkaz: http://arxiv.org/abs/2109.09097

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The completed standard $L$-function of modular forms on $G_2$

Autor: Çiçek, Fatma, Davidoff, Giuliana, Dijols, Sarah, Hammonds, Trajan, Pollack, Aaron, Roy, Manami

The goal of this paper is to provide a complete and refined study of the standard $L$-functions $L(\pi,\operatorname{Std},s)$ for certain non-generic cuspidal automorphic representations $\pi$ of $G_2(\mathbb{A})$. For a cuspidal automorphic represen

Externí odkaz: http://arxiv.org/abs/2104.09448

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On the Logarithm of the Riemann Zeta-function Near the Nontrivial Zeros

Autor: Cicek, Fatma

Assuming the Riemann hypothesis and Montgomery's Pair Correlation Conjecture, we investigate the distribution of the sequences $(\log|\zeta(\rho+z)|)$ and $(\arg\zeta(\rho+z)).$ Here $\rho=\frac12+i\gamma$ runs over the nontrivial zeros of the zeta-f

Externí odkaz: http://arxiv.org/abs/2007.10533

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