Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique

Emmanuel Royer

Annales scientifiques de l'École Normale Supérieure (2003)

  • Volume: 36, Issue: 4, page 601-620
  • ISSN: 0012-9593

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Royer, Emmanuel. "Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique." Annales scientifiques de l'École Normale Supérieure 36.4 (2003): 601-620. <http://eudml.org/doc/82612>.

@article{Royer2003,
author = {Royer, Emmanuel},
journal = {Annales scientifiques de l'École Normale Supérieure},
keywords = {primitive modular forms; -functions; Catalan numbers},
language = {fre},
number = {4},
pages = {601-620},
publisher = {Elsevier},
title = {Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique},
url = {http://eudml.org/doc/82612},
volume = {36},
year = {2003},
}

TY - JOUR
AU - Royer, Emmanuel
TI - Interprétation combinatoire des moments négatifs des valeurs de fonctions L au bord de la bande critique
JO - Annales scientifiques de l'École Normale Supérieure
PY - 2003
PB - Elsevier
VL - 36
IS - 4
SP - 601
EP - 620
LA - fre
KW - primitive modular forms; -functions; Catalan numbers
UR - http://eudml.org/doc/82612
ER -

References

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  2. [2] Frey G., On ternary equations of Fermat type and relations with elliptic curves, in: Modular Forms and Fermat's Last Theorem (Boston, MA, 1995), Springer, New York, 1997, pp. 527-548. Zbl0976.11027MR1638494
  3. [3] Goldfeld D., Hoffstein J., Lieman D., An effective zero-free region, Ann. of Math. (2)140 (1) (1994) 177-181, Appendice de [6]. Zbl0814.11032MR1289494
  4. [4] Gradshteyn I.S., Ryzhik I.M., Table of Integrals, Series, and Products, Academic Press, New York, 1980, Corrected and enlarged edition edited by A. Jeffrey, incorporating the fourth edition edited by Yu.V. Geronimus and M.Yu. Tseytlin. Translated from the Russian. Zbl0521.33001MR1773820
  5. [5] Granville A., Soundararajan K., The distribution of values ofL(1,χ), Préimprimé, 2001. 
  6. [6] Hoffstein J., Lockhart P., Coefficients of Maass forms and the Siegel zero, Ann. of Math. (2)140 (1) (1994) 161-181, avec un appendice de D. Goldfeld, J. Hoffstein, D. Lieman. Zbl0814.11032MR1289494
  7. [7] Iwaniec H., Luo W., Sarnak P., Low lying zeros of families of L-functions, Inst. Hautes Études Sci. Publ. Math.91 (2000) 55-131. Zbl1012.11041MR1828743
  8. [8] Iwaniec H., Sarnak P., Perspectives on the analytic theory of L-functions, Geom. Funct. Anal. Special Volume, Part II (2000) 705-741, GAFA 2000 (Tel Aviv, 1999). Zbl0996.11036MR1826269
  9. [9] Iwaniec H., Small eigenvalues of Laplacian for Γ0(N), Acta Arith.56 (1) (1990) 65-82. Zbl0702.11034
  10. [10] Kowalski E., Michel P., The analytic rank of J0(q) and zeros of automorphic L-functions, Duke Math. J.100 (3) (1999) 503-542. Zbl1161.11359MR1719730
  11. [11] Kowalski E., Michel P., Zeros of families of automorphic L-functions close to 1 and applications, Pacific J. Math., à paraître. Zbl1129.11316MR1972253
  12. [12] Luo W., Values of symmetric square L-functions at 1, J. Reine Angew. Math.506 (1999) 215-235. Zbl0969.11018MR1665705
  13. [13] Royer E., Statistique de la variable aléatoire L(sym2f,1), Math. Ann.321 (3) (2001) 667-687. Zbl1006.11023MR1871974
  14. [14] Stanley R.P., Enumerative Combinatorics, Vol. 2, Cambridge University Press, Cambridge, 1999. Zbl0928.05001MR1676282

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