Results 171 to 180 of about 1,611,376 (286)

Riemann Hypothesis Proof

리만 제타 함수 비자명 영점의 수치적 탐색 및 분포 검증: 튜링-그램 방법을 이용한 로저 규칙 위배 현상 ...
openaire   +2 more sources

A sequential Riesz-like criterion for the Riemann hypothesis

International Journal of Mathematics and Mathematical Sciences, 2005
Luis Báez-Duarte
doaj   +1 more source

Nonlinear Systems of PDEs Admitting Infinite‐Dimensional Lie Algebras and Their Connection With Ricci Flows. II: The Two‐Dimensional Space Case

Studies in Applied Mathematics, Volume 155, Issue 4, October 2025.
ABSTRACT Motivated by previous results in special cases associated with Ricci flows, all possible two‐components evolutions systems of (1+2)‐dimensional second‐order partial differential equations (PDEs) admitting an infinite‐dimensional Lie algebra are constructed. It is shown that a natural generalization of this Lie algebra to the higher‐dimensional
Roman Cherniha, John R. King
wiley   +1 more source

Properties of a Linear Operator Involving Lambert Series and Rabotnov Function

International Journal of Mathematics and Mathematical Sciences
This work is an attempt to apply Lambert series in the theory of univalent functions. We first consider the Hadamard product of Rabotnov function and Lambert series with coefficients derived from the arithmetic function σn to introduce a normalized ...
Jamal Salah
doaj   +1 more source

The Riemann Hypothesis for the Goss zeta function for F_q[T]

, 1998
Jeffrey T. Sheats
openalex   +2 more sources

Holomorphic field theories and higher algebra

Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.
Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley   +1 more source

A Riemann Hypothesis for characteristic p L-functions

, 1999
David Goss
openalex   +2 more sources

Simple Barban–Davenport–Halberstam type asymptotics for general sequences

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract We prove two estimates for the Barban–Davenport–Halberstam type variance of a general complex sequence in arithmetic progressions. The proofs are elementary, and our estimates are capable of yielding an asymptotic for the variance when the sequence is sufficiently nice, and is either somewhat sparse or is sufficiently like the integers in its ...
Adam J. Harper
wiley   +1 more source

Arithmetical Aspects of Beurling's Real Variable Reformulation of the Riemann Hypothesis

, 2000
Luis Báez‐Duarte
openalex   +2 more sources

On real and imaginary roots of generalised Okamoto polynomials

Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.
Abstract Recently, B. Yang and J. Yang derived a family of rational solutions to the Sasa–Satsuma equation, and showed that any of its members constitutes a partial‐rogue wave provided that an associated generalised Okamoto polynomial has no real roots or no imaginary roots.
Pieter Roffelsen, Alexander Stokes
wiley   +1 more source