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4 papers · 2 filters
The Prime Number Theorem and Pair Correlation of Zeros of the Riemann Zeta-Function
D. A. Goldston, Ade Irma Suriajaya
We prove that the error in the prime number theorem can be quantitatively improved beyond the Riemann Hypothesis bound by using versions of Montgomery's conjecture for the pair cor…
The -points of the Riemann zeta-function and the functional equation
Athanasios Sourmelidis, Jörn Steuding, Ade Irma Suriajaya
We prove an equivalent of the Riemann hypothesis in terms of the functional equation (in its asymmetrical form) and the -points of the zeta-function, i.e., the roots of the equa…
Zeros of derivatives of -functions in the Selberg class on
Sneha Chaubey, Suraj Singh Khurana, Ade Irma Suriajaya
In this article, we show that the Riemann hypothesis for an -function belonging to the Selberg class implies that all the derivatives of can have at most finitely many z…
Weighted one-level density of low-lying zeros of Dirichlet -functions
Shingo Sugiyama, Ade Irma Suriajaya
In this paper, we compute the one-level density of low-lying zeros of Dirichlet -functions in a family weighted by special values of Dirichlet -functions at a fixed $s \in [1…