Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/de-gruyter/heegner-points-and-eisenstein-series-dj2RTnEOHO
References (29)
-
H. Iwaniec (2002)
Spectral methods of automorphic forms -
W. Duke, J. Friedlander, H. Iwaniec (2002)
The subconvexity problem for Artin L–functionsInventiones mathematicae, 149
-
Zagier Don (1982)
The Rankin-Selberg method for automorphic functions which are not of rapid decayJournal of the Faculty of Science, the University of Tokyo. Sect. 1 A, Mathematics, 28
-
(2007)
Average values of Hecke L-functions via Galois suborbits of Heegner points -
Shou-wu Zhang (2004)
Gross-Zagier Formula for GL(2), II -
P. Michel, Akshay Venkatesh (2007)
Heegner points and non-vanishing of Rankin/Selberg L-functions, 7
-
B. Gross, D. Zagier (1986)
Heegner points and derivatives ofL-seriesInventiones mathematicae, 84
-
V. Vatsal (2002)
Uniform distribution of Heegner pointsInventiones mathematicae, 148
-
E. Kowalski, P. Michel (2001)
Deux théorèmes de non-annulation de valeurs spéciales de fonctions Lmanuscripta mathematica, 104
-
R. Masri (2010)
Quantitative nonvanishing of L-series associated to canonical Hecke charactersInternational Mathematics Research Notices, 2007
-
W. Duke, J. Friedlander, H. Iwaniec (1995)
Class group $L$-functionsDuke Mathematical Journal, 79
-
Place Eugène Bataillon, 34095 Montpellier, FRANCE. E-mail address: nicolas.templier@math.univ-montp2 -
W. Kohnen (1985)
Fourier coefficients of modular forms of half-integral weightMathematische Annalen, 271
-
Shou-wu Zhang (2001)
GROSS-ZAGIER FORMULA FOR GL2 -
P. Sarnak (1994)
Integrals of products of eigenfunctionsInternational Mathematics Research Notices, 1994
-
Akshay Venkatesh (2005)
Sparse equidistribution problems, period bounds and subconvexityAnnals of Mathematics, 172
-
H. Iwaniec, E. Kowalski (1990)
Analytic Number Theory -
(2007)
A Tribute to Gauss and Dirichlet, Clay -
Kartik Prasanna (2009)
On the Fourier coefficients of modular forms of half-integral weight, 22
-
A. Vinogradov, L. Takhtadzhyan (1987)
The zeta function of the additive divisor problem and spectral decomposition of the automorphic LaplacianJournal of Soviet Mathematics, 36
-
Shou-wu Zhang (2001)
Gross–Zagier formula for $\mathrm{GL}_2$Asian Journal of Mathematics, 5
-
E. Kowalski, P. Michel, J. Vanderkam (2000)
Mollification of the fourth moment of automorphic L-functions and arithmetic applicationsInventiones mathematicae, 142
-
Nicolas Templier (2008)
Points spéciaux et valeurs spéciales de fonctions L. -
R. Masri (2010)
Asymptotics for Sums of Central Values of Canonical Hecke L-SeriesInternational Mathematics Research Notices, 2007
-
W. Duke (2006)
Modular functions and the uniform distribution of CM pointsMathematische Annalen, 334
-
Benedict Gross, Don Zagier (1984)
On singular moduli.Journal für die reine und angewandte Mathematik (Crelles Journal), 1985
-
V. Blomer (2004)
Non-vanishing of class group $L$-functions at the central pointAnnales de l'Institut Fourier, 54
-
P. Michel, Akshay Venkatesh (2009)
The subconvexity problem for GL2Publications mathématiques de l'IHÉS, 111
-
W. Duke (1988)
Hyperbolic distribution problems and half-integral weight Maass formsInventiones mathematicae, 92
- Publisher
- de Gruyter
- Copyright
- © de Gruyter 2011
- ISSN
- 0933-7741
- eISSN
- 1435-5337
- DOI
- 10.1515/FORM.2011.041
- Publisher site
- See Article on Publisher Site
Abstract
We give an alternative computation of the twisted second moment of critical values of class group L -functions attached to an imaginary quadratic field. The method avoids long calculations and yields the polynomial growth in the s -parameter for the remaining term.
Journal
Forum Mathematicum – de Gruyter
Published: Nov 1, 2011
Keywords: Automorphic forms; equidistribution; L -functions; imaginary quadratic field; Heegner points