A Generalized Discrete Bohr–Jessen-Type Theorem for the Epstein Zeta-Function

A New Common Fixed Point Theorem for Suzuki Type Contractions via Generalized $Psi$-simulation Functions

In this paper, a new stratification of mappings, which is  called $Psi$-simulation functions, is introduced  to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples ar...

A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function

By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the rever...

Sphere Packing, Lattices, and Epstein Zeta Function

An Lp-Lq-version Of Morgan's Theorem For The Generalized Fourier Transform Associated with a Dunkl Type Operator

The aim of this paper is to prove new quantitative uncertainty principle for the generalized Fourier transform connected with a Dunkl type operator on the real line. More precisely we prove An Lp-Lq-version of Morgan's theorem.

On the Universality of the Epstein Zeta Function

We study universality properties of the Epstein zeta function En(L, s) for lattices L of large dimension n and suitable regions of complex numbers s. Our main result is that, as n → ∞, En(L, s) is universal in the right half of the critical strip as L varies over all n-dimensional lattices L. The proof uses an approximation result for Dirichlet polynomials together with a recent result on the d...