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Zagier, Don

A Kronecker limit formula for real quadratic fields. (English) Zbl 0283.12004

Math. Ann. 213, 153-184 (1975).

Cited in 11 Reviews
Cited in 54 Documents

MSC:

11R42 Zeta functions and \(L\)-functions of number fields
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Full Text: DOI EuDML

Online Encyclopedia of Integer Sequences:

Decimal expansion of the negated value of the integral over (1/(1-y) + 1/log(y))*log(1-y)/y between 0 and 1.

References:

[1] Hecke, E.: Über die Kroneckersche Grenzformel für reelle quadratische Körper und die Klassenzahl relativ-abelscher Körper, Verhandl. d. Naturforschenden Gesell. i. Basel28, 363-372 (1917). Mathematische Werke, pp. 198-207. Vandenhoeck & Ruprecht: Göttingen 1970 · JFM 47.0144.01
[2] Hirzebruch, F.: Hilbert modular surfaces, L’Enseignement Mathématique19 (3-4), 183-281 (1973) · Zbl 0285.14007
[3] Hirzebruch, F., Zagier, D.: Class numbers, continued fractions and the Hilbert modular group (to appear) · Zbl 0332.14009
[4] Kronecker, L.: Zur Theorie der elliptischen Modulfunktionen, Werke, 4, 347-495 and 5, 1-132. Leipzig: 1929
[5] Lewin, L.: Dilogarithms and Associated functions. London: Mac Donald 1958 · Zbl 0083.35904
[6] Meyer, C.: Die Berechnung der Klassenzahl abelscher Körper über quadratischen Zahlkörpern. Berlin: 1957 · Zbl 0079.06001
[7] Nielsen, N.: Handbuch der Theorie der Gammafunktion. Leibzig: Teubner 1906
[8] Siegel, C. L.: Lectures on Advanced Analytic Number Theory. Tata Institute, Bombay, 1961
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