Results 91 to 100 of about 67,078 (181)

Harmonic numbers, harmonic series and zeta function

Moroccan Journal of Pure and Applied Analysis, 2018
This paper reviews, from different points of view, results on Bernoulli numbers and polynomials, the distribution of prime numbers in connexion with the Riemann hypothesis. We give an account on the theorem of G. Robin, as formulated by J. Lagarias.
Sebbar Ahmed
doaj   +1 more source

Wild conductor exponents of curves

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source

Concerning Riemann Hypothesis

, 2009
We present a quantum mechanical model which establishes the veracity of the Riemann hypothesis that the non-trivial zeros of the Riemann zeta-function lie on the critical line of $ (s)$.
openaire   +2 more sources

New Inversion Formulae for the Widder–Lambert and Stieltjes–Poisson Transforms

Axioms
This paper establishes explicit inversion formulae for the Widder–Lambert transform and the Stieltjes–Poisson transform, extending their applicability to function spaces and compactly supported distributions.
Emilio R. Negrín, Jeetendrasingh Maan
doaj   +1 more source

On Equivalents of the Riemann Hypothesis Connected to the Approximation Properties of the Zeta Function

Axioms
The famous Riemann hypothesis (RH) asserts that all non-trivial zeros of the Riemann zeta function ζ(s) (zeros different from s=−2m, m∈N) lie on the critical line σ=1/2.
Antanas Laurinčikas
doaj   +1 more source

Riemann hypothesis equivalences,Robin inequality,Lagarias criterion, and Riemann hypothesis

In this paper, we briefly review most of accomplished research in Riemann Zeta function and Riemann hypothesis since Riemann's age including Riemann hypothesis equivalences as well. We then make use of Robin and Lagarias' criteria to prove Riemann hypothesis.
openaire   +2 more sources

On the Approximation of the Hardy Z-Function via High-Order Sections

Axioms
The Z-function is the real function given by Z(t)=eiθ(t)ζ12+it, where ζ(s) is the Riemann zeta function, and θ(t) is the Riemann–Siegel theta function. The function, central to the study of the Riemann hypothesis (RH), has traditionally posed significant
Yochay Jerby
doaj   +1 more source

Riemann's Hypothesis

, 2010
Riemann’s memoir is devoted to the function π(x) defined as the number of prime numbers less or equal to the real and positive number x. This is really the fact, but the “main role” in it is played by the already mentioned zeta-function.
openaire   +1 more source

The Effect of the Density of Square-Free ωp-numbers on the Bounds of Beurling Counting Function

Zanco Journal of Pure and Applied Sciences
Primitive weird numbers are weird numbers which are not a multiple of any smaller weird numbers. The goal of this work is to use a square-free primitive weird number x=ab where  b be an increasing sequence of prime numbers such that q1  is greater than ∏
Sarah Al-Ebrahimy, Eman F. Mohommed
doaj   +1 more source

Vanishing of Schubert coefficients via the effective Hilbert nullstellensatz

Forum of Mathematics, Sigma
Schubert Vanishing is a problem of deciding whether Schubert coefficients are zero. Until this work it was open whether this problem is in the polynomial hierarchy ${{\mathsf {PH}}}$ .
Igor Pak, Colleen Robichaux
doaj   +1 more source