Results 181 to 190 of about 75,204 (223)

The Riemann Zeta Function

2011
The Riemann zeta function is one of the most important functions of classical mathematics, with a variety of applications in analytic number theory. In this lecture, we shall study some of its elementary properties.
Ravi P. Agarwal, Kanishka Perera, Sandra Pinelas   +2 more
openaire   +1 more source

Further Apéry-Like Series for Riemann Zeta Function

Mathematical Notes, 2021
W. Chu
semanticscholar   +1 more source

The Riemann Zeta Function

1998
In order to make progress in number theory, it is sometimes necessary to use techniques from other areas of mathematics, such as algebra, analysis or geometry. In this chapter we give some number-theoretic applications of the theory of infinite series.
Gareth A. Jones, J. Mary Jones
openaire   +1 more source

Riemann’s Zeta Function Regularization

2018
In this final section, we want to introduce the concept of the zeta function in connection with regularizing certain problems in quantum physics where infinities occur.
openaire   +1 more source

The Riemann zeta function

2001
Abstract The theory we presented in Chapter 10 works globally over the adeles by simply taking the product of the local theories for p  ≥  η .
openaire   +1 more source

THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION

, 1975
S. Voronin
semanticscholar   +1 more source

The Riemann Zeta Function

1999
The surface is a graph of the reciprocal of the absolute value of the Riemann zeta function ζ (s). The spikes correspond to the zeros on the critical line ½ + iy. Recall that the global behavior of π(x), the prime distribution function, is well approximated by Riemann’s smooth function R(x) (discussed in Chapter 2). More delicate information about π(x),
openaire   +1 more source

A multidimensional half-discrete Hilbert-type inequality and the Riemann zeta function

Applied Mathematics and Computation, 2013
Michael Th Rassias, Bicheng Yang
exaly  

ON THE RIEMANN ZETA FUNCTION

The Quarterly Journal of Mathematics, 1945
openaire   +1 more source

Hamiltonian for the Zeros of the Riemann Zeta Function

Physical Review Letters, 2017
Dorje C Brody
exaly