The Zeta-Function of Riemann. Prof. E. C. Titchmarsh. (Cambridge Tracts in Mathematics and Mathematical Physics, No. 26.) Pp. vi + 104. (Cambridge: At the University ...

ABSTRACT: This study tries to establish a heuristic basis for discussing the Riemann hypothesis. The backbone of this description lies in the use of graphical description and numerical non-linear ...

Abstract: The paper summarizes the computation results of the Riemann Zeta Search Project. The aim of the project was to find extremely large values of the Riemann zeta function on the critical line.

Proceedings of the National Academy of Sciences of the United States of America, Vol. 119, No. 22 (May 31, 2022), pp. 1-7 (7 pages) We describe a remarkable property of the self-adjoint extension of ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

ABSTRACT: In this paper, we calculate the absolute tensor square of the Dirichlet L-functions and show that it is expressed as an Euler product over pairs of primes. The method is to construct an ...

We publish the best academic work (that's too often lost to peer reviews & the TA's desk) to the global tech community byEScholar: Electronic Academic Papers for Scholars@escholar byEScholar: ...

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In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

This repository contains an MPI program written in C that calculates the Riemann zeta function and evaluates its performance using MPI collective communication functions. The program approximates the ...