Results 141 to 150 of about 1,625,058 (297)
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
Approximate functional approximations and the Riemann hypothesis [PDF]
, 1966 Robert Spira
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Smallest totient in a residue class
Bulletin of the London Mathematical Society, EarlyView.Abstract We obtain a totient analogue for Linnik's theorem in arithmetic progressions. Specifically, for any coprime pair of positive integers (m,a)$(m,a)$ such that m$m$ is odd, there exists n⩽m2+o(1)$n\leqslant m^{2+o(1)}$ such that φ(n)≡a(modm)$\varphi (n)\equiv a\ (\mathrm{mod}\ m)$.
Abhishek Jha
wiley +1 more source
Riemann Hypothesis as an Uncertainty Relation [PDF]
arXiv, 2013 Physics is a fertile environment for trying to solve some number theory problems. In particular, several tentative of linking the zeros of the Riemann-zeta function with physical phenomena were reported. In this work, the Riemann operator is introduced and used to transform the Riemann's hypothesis in a Heisenberg-type uncertainty relation, offering a ...
arxiv
An elementary proof of the Riemann hypothesis for an elliptic curve over a finite field [PDF]
, 1971 Horst G. Zimmer
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The birational geometry of GIT quotients
Bulletin of the London Mathematical Society, EarlyView.Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley +1 more source
Riemann hypothesis solution updated
, 2020 It has been converted to pdf in the hope that the presentation of the mathmatical lines are no altered as it happened with the latest ...
openaire +1 more source
Proof of generalized Riemann hypothesis for Dedekind zetas and Dirichlet L-functions [PDF]
arXiv, 2007 A short proof of the generalized Riemann hypothesis (gRH in short) for zeta functions $\zeta_{k}$ of algebraic number fields $k$ - based on the Hecke's proof of the functional equation for $\zeta_{k}$ and the method of the proof of the Riemann hypothesis derived in [$M_{A}$] (algebraic proof of the Riemann hypothesis) is given.
arxiv
Zeros of $\zeta^{\prime} (s)$ and the Riemann hypothesis [PDF]
, 1973 Robert Spira
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Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source