Results 11 to 20 of about 5,641,194 (164)
ABC Conjecture and Riemann Hypothesis [PDF]
, 2004 In this paper, we consider two great unproven problems in mathematics in the language of inequalities; ABC conjecture and Riemann hypothesis. It is shown that the Riemann hypothesis is true in some initial cases.
Hassani, Mehdi
core +6 more sources
Ternary structures in Hilbert spaces [PDF]
, 2011 PhDTernary structures in Hilbert spaces arose in the study of in nite dimensional manifolds in di erential geometry. In this thesis, we develop a structure theory of Hilbert ternary algebras and Jordan Hilbert triples which are Hilbert spaces equipped
Bahmani, Fatemeh
core +4 more sources
Riemann Hypothesis in Special Cases [PDF]
, 2004 In this note, we show that the Riemann Hypothesis is true in some special ...
Hassani, Mehdi
core +6 more sources
Linear law for the logarithms of the Riemann periods at simple critical zeta zeros [PDF]
, 2006 Each simple zero 1/2 + iγn of the Riemann zeta function on the critical line with γn > 0 is a center for the flow s˙ = ξ(s) of the Riemann xi function with an associated period Tn. It is shown that, as γn →∞, log Tn ≥ π/4 γn + O(log γn).
Barnett, A. Ross, Broughan, Kevin A.
core +1 more source
The relationship between a strip Wiener–Hopf problem and a line Riemann–Hilbert problem [PDF]
, 2015 In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with the Riemann–Hilbert factorization. This allows to establish the exact relationship between the two types of factorization.
Kisil, Anastasia V.; id_orcid
core +3 more sources
The nonlinear Schr\"odinger equation with forcing involving products of eigenfunctions [PDF]
Open Communications in Nonlinear Mathematical Physics, 2022 We elaborate on a new methodology, which starting with an integrable evolution equation in one spatial dimension, constructs an integrable forced version of this equation.
A. S. Fokas, A. Latifi
doaj +1 more source
Mathematics, 2019 In this paper, the Lax pair of the modified nonlinear Schrödinger equation (mNLS) is derived by means of the prolongation structure theory. Based on the obtained Lax pair, the mNLS equation on the half line is analyzed with the assistance of Fokas ...
Tongshuai Liu, Huanhe Dong
doaj +1 more source
Quantum periods and TBA equations for N=2 SU(2) Nf = 2 SQCD with flavor symmetry
Physics Letters B, 2021 We apply the exact WKB analysis to the quantum Seiberg-Witten curve for 4-dimensional N=2 SU(2) Nf=2 SQCD with the flavor symmetry. The discontinuity and the asymptotic behavior of the quantum periods define a Riemann-Hilbert problem.
Keita Imaizumi
doaj +1 more source
Multidimensional analogues of the Riemann–Hilbert boundary value problem
Mathematical Modelling and Analysis, 2007 Multidimensional generalizations of the Cauchy‐Riemann systems and two different types of analogues of the Riemann–Hilbert boundary value problems for these systems are considered.
Eugenijus Paliokas
doaj +1 more source
The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Nuclear Physics BUsing the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj +1 more source