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Kung, Joseph P. S.; Murty, M. Ram; Rota, Gian-Carlo

On the Rédei zeta function. (English) Zbl 0446.05003

J. Number Theory 12, 421-436 (1980).
Summary:
Reviewer: John Knopfmacher
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0446.05003

Cited in 13 Documents

MSC:

11M41 Other Dirichlet series and zeta functions
06B99 Lattices
20K01 Finite abelian groups

Keywords:

lattice; Redei zeta function; finite abelian group

Citations:

Zbl 0065.01101; Zbl 0068.01602
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Full Text: DOI

References:

[1] Crapo, H. H.; Rota, G.-C., (Combinatorial Geometries (1970), MIT Press: MIT Press Cambridge, Mass) · Zbl 0216.02101
[2] Delsarte, S., Fonctions de Möbius sur les groupes abeliens finis, Ann. of Math., 49, 600-609 (1948) · Zbl 0031.34102
[3] Doubilet, P.; Rota, G.-C.; Stanley, R. P., The idea of generating function, (Proceedings, 6th Berkeley Symposium, Vol. 2 (1973), Univ. of California Press: Univ. of California Press Berkeley), 267-318
[4] Hajós, G., Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Wurfelgitter, Math. Z., 47, 427-467 (1942) · JFM 67.0137.04
[5] Joly, J.-R., Équations et variétés algébriques sur un corps fini, Enseignement Math., 19, 1-118 (1973) · Zbl 0282.14005
[6] Koblitz, N., \((p\)-adic Numbers, \(p\)-adic Analysis and Zeta-functions (1977), Springer-Verlag: Springer-Verlag New York) · Zbl 0364.12015
[7] Rédei, L., Zetafunktionen in der Algebra, Acta Math. Acad. Sci. Hungar., 6, 5-25 (1955) · Zbl 0065.01101
[8] Rédei, L., Die gruppentheoretischen Zetafunktionen und der Staz von Hajós, Acta Math. Acad. Sci. Hungar., 6, 271-279 (1955) · Zbl 0068.01602
[9] Rota, G.-C., On the foundations of combinatorial theory. I. Theory of Möbius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 2, 340-368 (1964) · Zbl 0121.02406
[10] Rota, G.-C., Théorie combinatoire des invariant classiques, (Seminar notes by J. Désarménien. Seminar notes by J. Désarménien, IRMA, Strasbourg (1977))
[11] Solomon, L., Zeta functions and integral representation theory, Advances in Math., 26, 306-326 (1977) · Zbl 0374.20007
[12] Solomon, L., Partially ordered set with colors, (Ray-Chaudhuri, D. K., Relations between Combinatorics and Other Parts of Mathematics (1979), Amer. Math. Soc: Amer. Math. Soc Providence, R.I), 309-330
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