Výsledky vyhledávání - "Jörn Steuding"

Akademický článek

On the Order of Growth of Lerch Zeta Functions

Autor: Jörn Steuding, Janyarak Tongsomporn

Publikováno v: Mathematics, Vol 11, Iss 3, p 723 (2023)

We extend Bourgain’s bound for the order of growth of the Riemann zeta function on the critical line to Lerch zeta functions. More precisely, we prove L(λ, α, 1/2 + it) ≪ t13/84+ϵ as t → ∞. For both, the Riemann zeta function as well as fo

Externí odkaz: https://doaj.org/article/0a9621a246fe482a8ae5cc5c57e88f5e

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Akademický článek

How to Distinguish Cospectral Graphs

Autor: Saeree Wananiyakul, Jörn Steuding, Janyarak Tongsomporn

Publikováno v: Mathematics, Vol 10, Iss 24, p 4802 (2022)

We introduce a generalized adjacency matrix in order to distinguish cospectral graphs. Our reasoning is motivated by the work of Johnson and Newman and properties of p-adic numbers. Using a polynomial time algorithm, we comment on computer experiment

Externí odkaz: https://doaj.org/article/ffeca5a6c42544ce8d9802980ad71217

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Akademický článek

The Values of the Periodic Zeta-Function at the Nontrivial Zeros of Riemann’s Zeta-Function

Autor: Janyarak Tongsomporn, Saeree Wananiyakul, Jörn Steuding

Publikováno v: Symmetry, Vol 13, Iss 12, p 2410 (2021)

In this paper, we prove an asymptotic formula for the sum of the values of the periodic zeta-function at the nontrivial zeros of the Riemann zeta-function (up to some height) which are symmetrical on the real line and the critical line. This is an ex

Externí odkaz: https://doaj.org/article/ad69b468df5c45e492786d3c718e40e4

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Akademický článek

Speiser’s Theorem on the Road

Autor: Janyarak TONGSOMPORN, Jörn STEUDING

Publikováno v: Walailak Journal of Science and Technology, Vol 16, Iss 9 (2019)

In this note we discuss the Gauss-Lucas theorem (for the zeros of the derivative of a polynomial) and Speiser’s equivalent for the Riemann hypothesis (about the location of zeros of the Riemann zeta-function). We indicate similarities between these

Externí odkaz: https://doaj.org/article/9592fc68d84148a6a752727eb7501a07

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