Results 21 to 30 of about 14,965,840 (158)
On the Physics of the Riemann Zeros [PDF]
, 2010 We discuss a formal derivation of an integral expression for the Li coefficients associated with the Riemann xi-function which, in particular, indicates that their positivity criterion is obeyed, whereby entailing the criticality of the non-trivial zeros.
He, Yang-Hui +2 more
core +2 more sources
Dark effects in $$\tilde{f}(R,P)$$ f ~ ( R , P ) gravity
European Physical Journal C: Particles and Fields, 2021 In the present paper a new cosmological model is proposed by extending the Einstein–Hilbert Lagrangian with a generic functional $$\tilde{f}(R,P)$$ f ~ ( R , P ) , which depends on the scalar curvature R and a term P which encodes a possible influence ...
Mihai Marciu
doaj +1 more source
Galois theory of fuchsian q-difference equations [PDF]
, 2002 We propose an analytical approach to the Galois theory of singular regular linear q-difference systems. We use Tannaka duality along with Birkhoff's classification scheme with the connection matrix to define and describe their Galois groups.
Sauloy, Jacques
core +3 more sources
The Modified Coupled Hirota Equation: Riemann-Hilbert Approach and N-Soliton Solutions
Abstract and Applied Analysis, 2019 The Cauchy initial value problem of the modified coupled Hirota equation is studied in the framework of Riemann-Hilbert approach. The N-soliton solutions are given in a compact form as a ratio of (N+1)×(N+1) determinant and N×N determinant, and the ...
Siqi Xu
doaj +1 more source
Finding zeros of the Riemann zeta function by periodic driving of cold atoms [PDF]
, 2015 The Riemann hypothesis, which states that the non-trivial zeros of the Riemann zeta function all lie on a certain line in the complex plane, is one of the most important unresolved problems in mathematics.
Creffield, C. E., Sierra, G.
core +5 more sources
Alexandria Engineering JournalThis article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
doaj +1 more source
, 2006 We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases.
Bernd Braunecker +5 more
core +1 more source
Convergent Interpolation to Cauchy Integrals over Analytic Arcs with Jacobi-Type Weights [PDF]
, 2009 We design convergent multipoint Pade interpolation schemes to Cauchy transforms of non-vanishing complex densities with respect to Jacobi-type weights on analytic arcs, under mild smoothness assumptions on the density. We rely on our earlier work for the
Baratchart, Laurent, Yattselev, Maxim
core +2 more sources
Dispersionless Hierarchies, Hamilton-Jacobi Theory and Twistor Correspondences
, 1997 The dispersionless KP and Toda hierarchies possess an underlying twistorial structure. A twistorial approach is partly implemented by the method of Riemann-Hilbert problem. This is however still short of clarifying geometric ingredients of twistor theory,
Boyer +30 more
core +2 more sources
Mathematische Nachrichten, EarlyView.Abstract This paper is devoted to the approximation of two‐ and three‐dimensional Dirac operators HV∼δΣ$H_{\widetilde{V} \delta _\Sigma }$ with combinations of electrostatic and Lorentz scalar δ$\delta$‐shell interactions in the norm resolvent sense. Relying on results from Behrndt, Holzmann, and Stelzer‐Landauer [Math. Nachr.
Jussi Behrndt +2 more
wiley +1 more source