Eisenstein series

Eisenstein series, named after German mathematician Gotthold Eisenstein, are particular modular forms with infinite series expansions that may be… (More)
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2010
2010
  • YANG TongHai
  • 2010
This paper gives explicit formulas for the Fourier expansion of general Eisenstein series and local Whittaker functions over SL2… (More)
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2008
2008
The theory of Eisenstein series is fundamental for the spectral theory of automorphic forms. It was first developed by Selberg… (More)
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2008
2008
We show that the Whittaker coefficients of Borel Eisenstein series on the metaplectic covers of GLr+1 can be described as… (More)
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2007
2007
The Ramanujan relations between Eisenstein series can be interpreted as an ordinary diferential equation in a parameter space of… (More)
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2007
2007
The family hyperbolic metric for the plumbing variety {zw = t} and the non holomorphic Eisenstein series E(ζ; 2) are combined to… (More)
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2003
2003
This article is an expanded version of a lecture given at the conference on Special Values of Rankin L-Series at MSRI in December… (More)
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2002
2002
Let G= ResE/F H, where H is a connected reductive group over a number field F and E/F is a quadratic extension. We define the… (More)
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1999
1999
We investigate the relevance of Eisenstein series for representing certain G(Z)-invariant string theory amplitudes which receive… (More)
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1996
1996
  • M M Kapranov
  • 1996
The classical Eisenstein-Maass series is the sum E(z, s) = 1 2 c,d∈Z (c,d)=1 y s/2 It converges for Re(s) > 2 and analytically… (More)
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1977
1977
In the first part of these notes we shall try to describe the main ideas in the theory. Let G be a reductive algebraic matrix… (More)
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