Dedekind sums with predictable signs
Kurt Girstmair
Acta Arithmetica, Tome 84 (1998), p. 283-295 / Harvested from The Polish Digital Mathematics Library
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Publié le : 1998-01-01
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     title = {Dedekind sums with predictable signs},
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     volume = {84},
     year = {1998},
     pages = {283-295},
     zbl = {0941.11017},
     language = {en},
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Kurt Girstmair. Dedekind sums with predictable signs. Acta Arithmetica, Tome 84 (1998) pp. 283-295. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav83i3p283bwm/

[000] [1] T. M. Apostol, Introduction to Analytic Number Theory, Springer, New York, 1976.

[001] [2] R. Bruggeman, On the distribution of Dedekind sums, in: Contemp. Math. 166, Amer. Math. Soc., 1994, 197-210. | Zbl 0810.11025

[002] [3] R. Bruggeman, Dedekind sums for Hecke groups, Acta Arith. 71 (1995), 11-46. | Zbl 0818.11022

[003] [4] U. Dieter, Beziehungen zwischen Dedekindschen Summen, Abh. Math. Sem. Univ. Hamburg 21 (1957), 109-125. | Zbl 0078.07002

[004] [5] J. E. Pommersheim, Toric varieties, lattice points, and Dedekind sums, Math. Ann. 295 (1993), 1-24. | Zbl 0789.14043

[005] [6] H. Rademacher, Generalization of the reciprocity formula for Dedekind sums, Duke Math. J. 21 (1954), 391-397. | Zbl 0057.03801

[006] [7] H. Rademacher, Zur Theorie der Dedekindschen Summen, Math. Z. 63 (1956), 445-463.

[007] [8] H. Rademacher and E. Grosswald, Dedekind Sums, Carus Math. Monographs 16, Math. Assoc. Amer., 1972.