Journals / Turkish Journal of Mathematics / 1999 / Cilt: 23 - Sayı: 4

A survey on Drinfeld modular forms

Pages
485–518
Publication Date
2022-11-05
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
🔖

Cite This Article

GEKELER, E. (2022). A survey on Drinfeld modular forms. Turkish Journal of Mathematics, Cilt: 23 - Sayı: 4, 485–518. https://ajindex.com/articles/608939

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (3)

  1. G. Cornelissen: Sur les zeros des series d'Eisenstein de poidsqk−1pourGL2(Fq[T]), C.R.Acad. Sci. Paris321(1995), 817-820. [2]G. Cornelissen: Geometric properties of modular forms over rational function elds. Thesis.Gent 1997. [3] P.Deligne,D.Husem ̈oller: Survey of Drinfeld modules, Contemp. Math.67(1987), 25-91. [4]V.G. Drinfeld: Elliptic Modules (Russian), Math. Sbornik94(1974), 594-627
  2. EnglishTransl.: Math. USSR-Sbornik23(1976), 561-592. [5] J.Fresnel,M.vanderPut: Geometrie Analytique Rigide et Applications, Progr. Math.18,Birkh ̈auser 1981. [6]E.-U. Gekeler: A Product Expansion for the Discriminant Function of Drinfeld Modules ofRank Two, J. Number Theory21(1985), 135-140. [7]E.-U. Gekeler: Drinfeld Modular Curves, Lect. Notes Math., vol.1231, Springer 1986 8]E.-U. Gekeler: On the coecients of Drinfeld modular forms, Invent. Math.93(1988),667-700. [9]E.-U. Gekeler: Improper Eisenstein series on Bruhat-Tits trees. manuscripta math.86(1995), 367-391. [10] E.-U. Gekeler: On the Drinfeld discriminant function, Comp. Math.106(1997), 181-202. [11] E.-U. Gekeler: Some new results on modular forms for GL(2
  3. Fq[T]), to appear in Contemp.Math.[12] E.-U. Gekeler, M. Reversat: Jacobians of Drinfeld Modular Curves, J. Reine Angew. Math.476(1996), 27-93. [13] E.-U. Gekeler, M. van der Put, M. Reversat, J. Van Geel (eds.): Drinfeld modules, modularschemes and applications, World Scienti c 1997. [14] L. Gerritzen, M. van der Put: Schottky groups and Mumford curves, Lect. Notes Math.817, Springer 1980 [15] O. Goldman, N. Iwahori: The space ofp-adic norms, Acta Math.109(1963), 137-177. [16] D. Goss: The algebraist's upper half-plane, Bull. AMS NS2(1980), 391-415. [17] N. Koblitz:p-adic Numbers,p-adic Analysis, and Zeta Functions. Graduate Texts inMathematics, Springer 1977. [18] M. van der Put: Les Fonctions th^eta d'une Courbe de Mumford, Groupe d'Etude d'AnalyseUltrametrique 1981/82, Paris 1982. [19] F.K. Rankin, H.P.F. Swinnerton-Dyer: On the zeroes of Eisenstein series, Bull. LondonMath. Soc.2(1970), 169-170.[ 20] J-P. Serre: Cours d'arithmetique, PUF, Paris 1970. [21] J-P. Serre: Trees, Springer 1980. [22] J.H. Silverman: The Arithmetic of Elliptic Curves, Springer1986. [23] J.H. Silverman: Advanced Topics in the Arithmetic of Elliptic Curves, Springer1994. [24] H.P.F. Swinnerton-Dyer: Onl-adic representations and congruences for coecients ofmodular forms (Lect. Notes Math., vol.350, pp. 1-55), Springer 1973. [25] A. Weil: On the analogue of the modular g