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  1. Science in China Series A: Mathematics
  2. Science in China Series A: Mathematics : Volume 53
  3. Science in China Series A: Mathematics : Volume 53, Issue 9, September 2010
  4. Eisenstein series for SL(2)
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Science in China Series A: Mathematics : Volume 60
Science in China Series A: Mathematics : Volume 59
Science in China Series A: Mathematics : Volume 58
Science in China Series A: Mathematics : Volume 57
Science in China Series A: Mathematics : Volume 56
Science in China Series A: Mathematics : Volume 55
Science in China Series A: Mathematics : Volume 54
Science in China Series A: Mathematics : Volume 53
Science in China Series A: Mathematics : Volume 53, Issue 12, December 2010
Science in China Series A: Mathematics : Volume 53, Issue 11, November 2010
Science in China Series A: Mathematics : Volume 53, Issue 10, October 2010
Science in China Series A: Mathematics : Volume 53, Issue 9, September 2010
Boundary parametrization of planar self-affine tiles with collinear digit set
Romanoff theorem in a sparse set
Distribution modulo 1 of a linear sequence associated to a multiplicative function evaluated at polynomial arguments
A Tauberian theorem for ℓ-adic sheaves on $$ \mathbb{A} $$ $^{1}$
Periods of automorphic forms, poles of L-functions and functorial lifting
Polylogarithms and multiple zeta values from free Rota-Baxter algebras
Counting rational points on cubic curves
A specific family of cyclotomic polynomials of order three
Eisenstein series for SL(2)
Coefficients of symmetric square L-functions
On several families of elliptic curves with arbitrary large Selmer groups
The structural elucidation of Eisenstein’s formula
A new sieve for distinct coordinate counting
Differential operators and automorphism schemes
On the 3-rank of tame kernels of certain pure cubic number fields
Twisted exponential sums of polynomials in one variable
A Jacobi-Eisenstein series of weight two on congruence Jacobi subgroup
On shifted convolution of half-integral weight cusp forms
Note on the number of integral ideals in Galois extensions
Integral spinor norms in dyadic local fields III
Class numbers of cyclic 2-extensions and Gross conjecture over ℚ
Resonance between automorphic forms and exponential functions
Binomial coefficients, Catalan numbers and Lucas quotients
On the least primitive root in number fields
Inhomogenous quantum codes (I): additive case
Almost primes in short intervals
Complete solving of explicit evaluation of Gauss sums in the index 2 case
A hybrid mean value related to the Dedekind sums and Kloosterman sums
A quantitative program for Hadwiger’s covering conjecture
Recent progress on the Dirichlet divisor problem and the mean square of the Riemann zeta-function
Science in China Series A: Mathematics : Volume 53, Issue 8, August 2010
Science in China Series A: Mathematics : Volume 53, Issue 7, July 2010
Science in China Series A: Mathematics : Volume 53, Issue 6, June 2010
Science in China Series A: Mathematics : Volume 53, Issue 5, May 2010
Science in China Series A: Mathematics : Volume 53, Issue 4, April 2010
Science in China Series A: Mathematics : Volume 53, Issue 3, March 2010
Science in China Series A: Mathematics : Volume 53, Issue 2, February 2010
Science in China Series A: Mathematics : Volume 53, Issue 1, January 2010
Science in China Series A: Mathematics : Volume 52
Science in China Series A: Mathematics : Volume 51
Science in China Series A: Mathematics : Volume 50
Science in China Series A: Mathematics : Volume 49
Science in China Series A: Mathematics : Volume 48
Science in China Series A: Mathematics : Volume 47
Science in China Series A: Mathematics : Volume 46
Science in China Series A: Mathematics : Volume 45
Science in China Series A: Mathematics : Volume 44
Science in China Series A: Mathematics : Volume 43
Science in China Series A: Mathematics : Volume 42
Science in China Series A: Mathematics : Volume 41
Science in China Series A: Mathematics : Volume 40

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Eisenstein series for SL(2)

Content Provider SpringerLink
Author Kudla, Stephen S. Yang, TongHai
Copyright Year 2010
Abstract This paper gives explicit formulas for the Fourier expansion of general Eisenstein series and local Whittaker functions over SL$_{2}$. They are used to compute both the value and derivatives of these functions at critical points.
Starting Page 2275
Ending Page 2316
Page Count 42
File Format PDF
ISSN 16747283
Journal Science in China Series A: Mathematics
Volume Number 53
Issue Number 9
e-ISSN 18691862
Language English
Publisher SP Science China Press
Publisher Date 2010-09-07
Publisher Place Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Eisenstein series local Whittaker functions Weil representation derivative Complex multiplication and moduli of abelian varieties Automorphic forms on ${\rm GL}(2)$; Hilbert and Hilbert-Siegel modular groups and their modular and automorphic forms; Hilbert modular surfaces Complex multiplication Applications of Mathematics
Content Type Text
Resource Type Article
Subject Mathematics
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