Results 161 to 170 of about 630 (179)

The Riemann Zeta Function and the Hurwitz Zeta Function

2022
Anthony A. Ruffa, Bourama Toni
openaire   +1 more source

Riemann Zeta Function

We prove that the unique shift ε = φ − 1 — where φ = (1 + √5)/2 is the Golden Ratio — makes the 2-regularized Fredholm determinant of the diagonal operator Aₛ+ε on ℓ²(primes) equal (up to an entire, nowhere-vanishing factor) to ζ(s)⁻¹. Explicitly,     det₂(I − Aₛ+φ−1 · E_φ(s)) = ζ(s)⁻¹, for Re s > ½,   where E_φ is an elementary exponential built ...
openaire   +1 more source

Koshliakov kernel and identities involving the Riemann zeta function

Journal of Mathematical Analysis and Applications, 2016
Atul Dixit, Nicolas Robles, Arindam Roy   +2 more
exaly  

A further study on value distribution of the Riemann zeta‐function

Mathematische Nachrichten, 2018
Feng Lu
exaly  

An estimate of the lower bound of the real parts of the zeros of the partial sums of the Riemann zeta function

Journal of Mathematical Analysis and Applications, 2015
G Mora
exaly  

Extreme values of the Riemann zeta function

Commentarii Mathematici Helvetici, 1977
Hugh L Montgomery
exaly  

An Inequality for the Riemann Zeta-Function

Proceedings of the London Mathematical Society, 1936
openaire   +1 more source

The joint value-distribution of the Riemann zeta function and Hurwitz zeta functions

Lithuanian Mathematical Journal, 2007
exaly  

The Zeta-Function of Riemann

2021
openaire   +1 more source

The Riemann Zeta Function on Arithmetic Progressions

Experimental Mathematics, 2012
Elias Wegert
exaly