Results 141 to 150 of about 3,429,146 (271)

Arrangements of hyperplanes II: Szenes formula and Eisenstein series

open access: yes, 1999
The aim of this article is to generalize in several variables some formulae for Eisenstein series in one variable. For example the formula $2\zeta(2k) = (2\pi)^{2k} \frac{B_{2k}}{(2k)!} = Res_{z=0}(\frac{1}{z^{2k}(1-e^z)})$ for the values of zeta ...
Brion, Michel, Vergne, Michele
core   +1 more source

Geometric sieve over number fields for higher moments. [PDF]

open access: yesRes Number Theory, 2023
Micheli G   +3 more
europepmc   +1 more source

The global Gan-Gross-Prasad conjecture for unitary groups. II. From Eisenstein series to Bessel periods

open access: yesForum of Mathematics, Pi
We state and prove an extension of the global Gan-Gross-Prasad conjecture and the Ichino-Ikeda conjecture to the case of some Eisenstein series on unitary groups $U_n\times U_{n+1}$ .
Raphaël Beuzart-Plessis   +1 more
doaj   +1 more source

A Tapestry of Ideas with Ramanujan’s Formula Woven In

open access: yesAxioms
Zeta-functions play a fundamental role in many fields where there is a norm or a means to measure distance. They are usually given in the forms of Dirichlet series (additive), and they sometimes possess the Euler product (multiplicative) when the domain ...
Nianliang Wang   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy