This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Bibliographie
A. O. L. ATKIN-Congruences for modular forms, Computers in mathematical research (ed. by R. F. Churchhouse and J-C. Herz), p. 8–19, North-Holland, Amsterdam, 1968.
Z. I. BOREVIČ et I. R. ŠAFAREVIČ-Théorie des nombres (traduit du russe par M. et J-L. Verley), Gauthier-Villars, Paris, 1967.
P. DELIGNE-Formes modulaires et représentations ℓ-adiques, Séminaire Bourbaki, exposé 355 (février 1969), Lecture Notes no 179, Springer-Verlag, 1971.
M. DEURING-Die Typen der Multiplikatorenringe elliptischer Funktionenkörper, Abh. Math. Sem. Hamburg, 14, 1941, p. 197–272.
E. HECKE-Mathematische Werke, Vandenhoeck und Ruprecht, Göttingen, 1959.
J. IGUSA-Class number of a definite quaternion with prime discriminant, Proc. Nat. Acad. Sci. USA, 44, 1958, p. 312–314.
J. IGUSA-On the algebraic theory of elliptic modular functions, J. Math. Soc. Japan, 20, 1968, p. 96–106.
H. KLINGEN-Über die Werte der Dedekindschen Zetafunktionen, Math. Ann., 145, 1962, p. 265–272.
O. KOLBERG-Note on Ramanujan's function τ(n), Math. Scand. 10, 1962, p. 171–172.
O. KOLBERG-Congruences for the coefficients of the modular invariant j(τ), Math. Scand. 10, 1962, p. 173–181.
J. LEHNER-Lectures on modular forms, Nat. Bureau of Standards, Appl. Math. Ser. 61, Washington, 1969.
S. RAMANUJAN-On certain arithmetical functions, Trans. Cambridge phil. Soc., 22, 1916, p. 159–184 (Collected Papers, no 18, p. 136–162).
P. ROQUETTE-Analytic theory of elliptic functions over local fields, Vandenhoeck und Ruprecht, Göttingen, 1970.
J.-P. SERRE-Abelian ℓ-adic representations and elliptic curves, Benjamin, New York, 1968.
J.-P. SERRE-Une interprétation des congruences relatives à la fonction τ de Ramanujan, Séminaire Delange-Pisot-Poitou, 1967/1968, exposé 14.
J.-P. SERRE-Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. math., 15, 1972, p. 259–331.
C. L. SIEGEL-Berechnung von Zetafunktionen an ganzzahligen Stellen, Gött. Nach. 1969, no 10, p. 87–102.
H. P. F. SWINNERTON-DYER-Some implications of Ramanujan's methods of proving congruences for τ(n) (1971, non publié).
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1973 N. Bourbaki
About this paper
Cite this paper
Serre, JP. (1973). Congruences et formes modulaires. In: Dold, A., Eckmann, B. (eds) Séminaire Bourbaki vol. 1971/72 Exposés 400–417. Lecture Notes in Mathematics, vol 317. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069289
Download citation
DOI: https://doi.org/10.1007/BFb0069289
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-06179-3
Online ISBN: 978-3-540-38403-8
eBook Packages: Springer Book Archive
