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Zagier, Don

Higher dimensional Dedekind sums. (English) Zbl 0237.10025

Math. Ann. 202, 149-172 (1973).
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Cited in 55 Documents

MSC:

11L03 Trigonometric and exponential sums (general theory)
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\textit{D. Zagier}, Math. Ann. 202, 149--172 (1973; Zbl 0237.10025)
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References:

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[2] Atiyah, M. F., Singer, I. M.: The index of elliptic operators. III. Ann. of Math.87, 546-604 (1968). · Zbl 0164.24301
[3] Dedekind, R.: Erläuterungen zu den vorstehenden Fragmenten (zu B. Riemann: Fragmente über die Grenzfälle der elliptischen Modulfunktionen). Riemanns Werke, 2. Aufl., 1892, 466-478. New York: Dover Publications 1953.
[4] Dieter, U.: Beziehungen zwischen Dedekindschen Summen. Abh. math. Sem. Univ. Hamburg,21, Heft 1/2, 109-125 (1957). · Zbl 0078.07002
[5] Dieter, U.: Pseudo-random numbers: the exact distribution of pairs. Math. of Computation25 (1971). · Zbl 0257.65010
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[9] Hirzebruch, F.: Free involutions on manifolds and some elementary number theory. Symposia Mathematica (Istituto Nazionale de Alta Matematica, Roma), Vol. V, 411-419. New York-London: Academic Press 1971. · Zbl 0206.52404
[10] Meyer, C.: Über einige Anwendungen Dedekindscher Summen. J. reine angew. Math.198, 143-203 (1957). · Zbl 0079.10303
[11] Meyer, C.: Über die Bildung von Klasseninvarianten binärer quadratischer Formen mittels Dedekindscher Summen. Abh. math. Sem. Univ. Hamburg,27, Heft 3/4, 206-230 (1964). · Zbl 0122.05201
[12] Meyer, C.: Über die Dedekindsche Transformationsformel für log?(?). Abh. math. Sem. Univ. Hamburg,30, Heft 3/4, 129-164 (1967). · Zbl 0173.09302
[13] Rademacher, H.: On the partition functionp(n). Proc. London math. Soc.43 (2), 241-254 (1937). · Zbl 0017.05503
[14] Rademacher, H.: Lectures on analytic number theory. Notes, Tata Institute, Bombay 1954-1955.
[15] Rademacher, H.: Zur Theorie der Dedekindschen Summen. Math. Z.63, 445-463 (1955/56). · Zbl 0071.04201
[16] Rademacher, H., Whiteman, A.: Theorems on Dedekind sums. Amer. J. Math.63, 377-407 (1941). · Zbl 0025.02802
[17] Zagier, D.: Relations among invariants of circle actions on three-manifolds. Math. Ann.195, 321-329 (1972). · Zbl 0217.20302
[18] Zagier, D.: Equivariant Pontrjagin classes and applications to orbit spaces. Lecture Notes in Mathematics. Berlin-Heidelberg-New York: Springer (to appear). · Zbl 0238.57013
[19] Brieskorn, E.: Beispiele zur Differentialtopologie von Singularitäten. Invent. math.2, 1-14 (1966). · Zbl 0145.17804
[20] Hirzebruch, F.: The signature theorem: reminiscences and recreation,Prospects in Mathematics. Ann. of Math. Studies70, 3-31. Princeton University Press, Princeton, 1971. · Zbl 0252.58009
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