Results 81 to 90 of about 5,518,989 (159)

A two-dimensional limit discrete theorem for Mellin transforms of the Riemann zeta-function

Lietuvos Matematikos Rinkinys, 2007
In the paper two-dimensional limit theorem for the modified Mellin transform of the Riemann zeta-function is obtained.
Violeta Balinskaitė
doaj   +1 more source

Riemann-Siegel integral formula for the Lerch zeta function

, 2011
Here we present a Riemann-Siegel integral formula for the Lerch zeta function. Proceeding as in Turing’s method for computing the Riemann zeta function, our integral formula allows for the numerical computation of the Lerch zeta function by numerical ...
Jorge Sánchez-Ortiz, Eugenio Balanzario
core   +1 more source

Riemann zeta function

, 2014
Knowledge about complex analysis, exponential functions and special functionsThe Riemann zeta function (or, precisely, the Riemann-Siegel Z function) along the critical line.
Wolfram, Stephen
core  

AN EXPOSITION OF THE RIEMANN ZETA FUNCTION [PDF]

, 2014
This thesis is an exposition of the Riemann zeta function. Included are techniques of  analytic continuation and relationships to special functions.
Molokach, John
core  

Riemann zeta matrix function

, 2015
In this study, obtaining the matrix analog of the Euler's reflection formula for the classical gamma function we expand the domain of the gamma matrix function and give a infinite product expansion of sin pi xP.
Kargın, Levent, Kurt, Veli
core   +1 more source

Jensen polynomials for the Riemann zeta function and other sequences. [PDF]

Proc Natl Acad Sci U S A, 2019
Griffin M, Ono K, Rolen L, Zagier D.
europepmc   +1 more source

Characteristic polynomials, spectral-based Riemann-Zeta functions and entropy indices of n-dimensional hypercubes. [PDF]

J Math Chem, 2023
Balasubramanian K.
europepmc   +1 more source

Riemann zeta function

, 2008
Knowledge about complex analysis, exponential functions and special functionsThe Riemann zeta function (or, precisely, the Riemann-Siegel Z function) along the critical line.
Wolfram, Stephen
core  

A joint universality theorem for the riemann zeta-function and lerch zeta-function. [PDF]

, 2017
A joint universality theorem for the Riemann zeta-function and Lerch zeta ...
Franckevič, Violeta,
core  

An Approximation of the Prime Counting Function and a New Representation of the Riemann Zeta Function

Mathematics
Determining the exact number of primes at large magnitudes is computationally intensive, making approximation methods (e.g., the logarithmic integral, prime number theorem, Riemann zeta function, Chebyshev’s estimates, etc.) particularly valuable.
Timothy Ganesan
doaj   +1 more source