Results 111 to 120 of about 3,466 (218)

Lectures on the Riemann zeta function

, 2014
The Riemann zeta function was introduced by L. Euler (1737) in connection with questions about the distribution of prime numbers. Later, B. Riemann (1859) derived deeper results about the prime numbers by considering the zeta function in the complex ...
Iwaniec, H, H. Iwaniec
core   +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

AN EXPOSITION OF THE RIEMANN ZETA FUNCTION

, 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  

Evanescent wave in multiple slit diffraction and n-array antennas in metamaterial using Cesàro convergence. [PDF]

Sci Rep, 2023
Nellambakam Y, Haritha K, Shiv Chaitanya KVS.   +2 more
europepmc   +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

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

Large gaps between the zeros of the Riemann zeta function

, 2008
We show that the generalized Riemann hypothesis implies that there are infinitely many consecutive zeros of the zeta function whose spacing is three times larger than the average spacing.
Ng, Nathan
core   +1 more source

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

Fast convergence of generalized DeTemple sequences and the relation to the Riemann zeta function. [PDF]

J Inequal Appl, 2017
Wu S, Bercu G.
europepmc   +1 more source

Incomplete Riemann Zeta function

, 2019
The scope of this project is to investigate some important applications and properties of the incomplete Riemann zeta function. Meanwhile, to write a project report on the function’s recurrence relations, asymptotic expansions, differential relations and
Zhou, Peiyuan
core