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In case K = Q, the Laurent expansion of the Riemann zeta function [zeta](s) at its pole s = 1 is given by

The signs of the Stieltjes constants associated with the Dedekind zeta function

Mason and Snaith apply the method that Conrey and Snaith used to calculate the n-correlation of the zeros of the Riemann zeta function to the zeros of families of L-functions with orthogonal or symplectic symmetry.

Orthogonal and Symplectic n-level Densities

The estimation of the parameter C is done through the inverse of the Riemann zeta function as follows:

Empirical Examination of Lotka's Law for Information Science and Library Science

are the corresponding values of the Riemann zeta function. In practice, Eq.

Complete solution of the Marchenko equation for a simple model system/Martsenko vorrandi taielik lahendus lihtsa mudelsusteemi jaoks

Some probabilistic value distributions of the Riemann zeta function

Proceedings at the 1100th general meeting

Among the topics are modular functions and Eisenstein series, the Riemann zeta function, Euler's formulas and functional equations, functional equations, a linear space of solutions, and the multidimensional Poisson summation formula.

A Brief Introduction to Theta Functions (reprint, 1961)

The Hurwitz-Lerch zeta function contains, as its special cases, the Riemann zeta function f(s), the Hurwitz zeta function f(s, a), and the Lerch zeta function [l.sub.s]([xi]) defined by

New expansion formulas for a family of the [lambda]-generalized Hurwitz-Lerch Zeta functions

And those of the form 1/[[alpha].sup.k.sub.n] can be evaluated using the Riemann Zeta function [20].

Efficient and accurate approximation of infinite series summation using asymptotic approximation and fast convergent series

for a > 0, where [zeta](j, a) = [[SIGMA].sup.[infinity].sub.i=0][(a + i).sup.-j] is the generalized Riemann zeta function known also as Hurwitz zeta function.

An interplay between a generalized-Euler-constant function and the Hurwitz zeta function

Bradley, Searching symbolically for Apery-like formulae for values of the Riemann zeta function, SIGSAM Bulletin of Algebraic and Symbolic Manipulation, Association of Computing Machinery, 30 (1996), no.

Series acceleration formulas for beta values

Among the poles of the meromorphic function Z(s) are the roots p of the Riemann zeta function in the critical strip 0 < [sigma]< 1, which is clear from Eq.

Generalized twin prime formulas