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The congruences of Clausen-von Staudt and Kummer for Bernoulli-Hurwitz numbers. (English) Zbl 0303.10028

11F12Automorphic forms, one variable
11R52Quaternion and other division algebras: arithmetic, zeta functions
11R04Algebraic numbers; rings of algebraic integers
14H45Special curves and curves of low genus
14G10Zeta-functions and related questions
Full Text: DOI EuDML
[1] Borevich, Z.I., Shafarevich, I.R.: Number Theory, New York: Academic Press 1966
[2] Deligne, P., Rapoport, M: Les schémas de modules de courbes elliptiques, Proc. 1972 Antwerp Int’l Summer School on Modular Functions, Lecture Notes in Mathematics349, 143--317 (1973) · Zbl 0281.14010
[3] Hurwitz, A.: Über die Entwicklungskoeffitizienten der lemniscatischen Functionen, Math. Ann.51, 196--226 (1899) · Zbl 29.0385.02 · doi:10.1007/BF01453637
[4] Katz, N.M.: The Eisenstein measure andp-adic interpolation, to appear
[5] Serre, J.-P.: Congruences et formes modularies, Seminaire N. Bourbaki 1971/72, Exposé 416, Lecture Notes in Mathematics317, 319--336, Berlin-Heidelberg-New York: Springer 1972