×

zbMATH — the first resource for mathematics

Dedekindsummen mit elliptischen Funktionen. (German) Zbl 0521.10021

MSC:
11F03 Modular and automorphic functions
11F06 Structure of modular groups and generalizations; arithmetic groups
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
PDF BibTeX XML Cite
Full Text: DOI EuDML
References:
[1] Apostol, T.M., Vu, T.H.: Identities for sums of Dedekind type. Journal of Number Theory14, 391-396 (1982) · Zbl 0487.10012
[2] Damerell, R.M.:L-functions of elliptic curves with complex multiplication I, II. Acta Arithm.17, 287-301 (1970);19, 311-317 (1971) · Zbl 0209.24603
[3] Dedekind, R.: Erläuterungen zu zwei Fragmenten von Riemann, Ges. math. Werke, erster Band, p. 159-173, Braunschweig: Friedrich Vieweg 1930
[4] Deuring, M.: Die Klassenkörper der komplexen Multiplikation, Enzyklopädie der Math. Wiss. Band I, 2. Teil, Heft 10, Teil II · Zbl 0123.04001
[5] Dieter, U.: Zur Theorie der Dedekindschen Summen. Dissertation Kiel 1957 · Zbl 0078.07002
[6] Flögge, D.: Zur Struktur derPSL 2 über einigen imaginärquadratischen Zahlringen. Math. Z.183, 255-279 (1983) · Zbl 0505.20038
[7] Goldstein, C., Schappacher, N.: Séries d’Eisenstein et fonctionsL de courbes elliptiques à multiplication complexe. J. Math.327, 184-218 (1981) · Zbl 0456.12007
[8] Harder, G.: Period Integrals of Cohomology Classes which are represented by Eisenstein Series, Proc. Bombay Colloquium 1979, Berlin-Heidelberg-New York: Springer 1981, pp. 41-115
[9] Harder, G.: Period Integrals of Eisenstein Cohomology Classes and special values of someL-functions. Number theory related to Fermat’s last theorem, pp. 103-142. In: Koblitz, N. (ed.) Boston-Basel-Stuttgart: Birkhäuser 1982
[10] Hecke, E.: Mathematische Werke. Göttingen: Vandenhoeck & Ruprecht 1970 · Zbl 0205.28902
[11] Hirzebruch, F., Zagier, D.: The Atiyah-Singer theorem and elementary number theory. Boston: Publish or Perish 1974 · Zbl 0288.10001
[12] Kubota, T.: Ein arithmetischer Satz über eine Matrizengruppe. Journal für Mathematik222, 55-57 (1966) · Zbl 0149.28602
[13] Masser, D.: Elliptic Functions and Transcendence, SLN 437. Berlin-Heidelberg-New York: Springer 1975 · Zbl 0312.10023
[14] Mazur, B.: On the Arithmetic of special values ofL-functions. Invent. math.55, 207-240 (1979) · Zbl 0426.14009
[15] Meyer, W., Sczech, R.: Über eine topologische und zahlentheoretische Anwendung von Hirzebruchs Spitzenauflösung. Math. Ann.240, 69-96 (1979) · Zbl 0392.14007
[16] Rademacher, H.: Collected Papers. Cambridge: MIT Press 1974 · Zbl 0311.01022
[17] Rademacher, H., Grosswald, E.: Dedekind Sums. Carus Mathematical Monographs Nr. 16, MAA (1972) · Zbl 0251.10020
[18] Robert, G.: Nombres de Hurwitz et unités elliptiques. Ann. Sci. E.N.S. (4e ser.)11, 279-389 (1978) · Zbl 0409.12008
[19] Serre, J-P.: Le problème des groupes de congruence pourSL 2. Ann. of Math.92, 489-527 (1970) · Zbl 0239.20063
[20] Serre, J-P.: Lineare Darstellungen endlicher Gruppen. Berlin: Akademie Verlag 1972 · Zbl 0237.20002
[21] Borewicz, S.I., Safarevic, I.R.: Zahlentheorie. Basel: Birkhäuser 1966
[22] Siegel, C.L.: Lectures on advanced analytic number theory. Tata Institute Bombay 1961 (reissued 1965)
[23] Swan, R.G.: Generators and relations for certain special linear groups. Advances in Math.6, 1-77 (1971) · Zbl 0221.20060
[24] Weil, A.: Elliptic functions according to Eisenstein and Kronecker. Berlin-Heidelberg-New York: Springer 1976 · Zbl 0318.33004
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.