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Arrangements of hyperplanes II: Szenes formula and Eisenstein series
, 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
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Explicit formulas for local factors in the Euler products for Eisenstein series [PDF]
, 1989 Paul Feit
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Geometric sieve over number fields for higher moments. [PDF]
Res Number Theory, 2023 Micheli G +3 more
europepmc +1 more source
Fourier coefficients of certain Eisenstein series [PDF]
, 1989 Yoshiyuki Kitaoka
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Forum of Mathematics, PiWe 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
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The Fourier expansion of Eisenstein series for ${\rm GL}(3,\,{\bf Z})$ [PDF]
, 1982 Kaori Imai, Audrey Terras
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Local densities of quadratic forms and Fourier coefficients of Eisenstein series [PDF]
, 1986 Yoshiyuki Kitaoka
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A Tapestry of Ideas with Ramanujan’s Formula Woven In
AxiomsZeta-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
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Eisenstein series on quaternion half-space of degree $2$ [PDF]
, 1992 Shōyū Nagaoka
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Eisenstein series on arithmetic quotients of loop groups [PDF]
, 1999 Howard Garland
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