Optical soliton wave profiles for the (2 + 1)-dimensional complex modified Korteweg-de Vries system with the impact of fractional derivative via analytical approach. [PDF]
Khan MI +6 more
europepmc +1 more source
On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley +1 more source
Riemann’s method in the theory of special functions [PDF]
openaire +2 more sources
Abstract We study the multiplicative statistics associated to the limiting determinantal point process describing eigenvalues of unitary random matrices with a critical edge point, where the limiting eigenvalue density vanishes like a power 5/2. We prove that these statistics are governed by the first three equations of the Korteweg‐de‐Vries (KdV ...
Mattia Cafasso +1 more
wiley +1 more source
A hybrid Daubechies wavelet collocation approach for a fractional-order SIR epidemic model with delay effects. [PDF]
Sarkar N, Sen M.
europepmc +1 more source
Discrete analogues of second‐order Riesz transforms
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley +1 more source
Analysis of hybrid fractional integro-differential equations with application to cholera dynamics. [PDF]
Algolam MS +4 more
europepmc +1 more source
Diophantine tuples and product sets in shifted powers
Abstract Let k⩾2$k\geqslant 2$ and n≠0$n\ne 0$. A Diophantine tuple with property Dk(n)$D_k(n)$ is a set of positive integers A$A$ such that ab+n$ab+n$ is a k$k$th power for all a,b∈A$a,b\in A$ with a≠b$a\ne b$. Such generalizations of classical Diophantine tuples have been studied extensively.
Ernie Croot, Chi Hoi Yip
wiley +1 more source
Revisiting Volterra defects: geometrical relation between edge dislocations and wedge disclinations. [PDF]
Kobayashi S, Takemasa K, Tarumi R.
europepmc +1 more source

