On the asymptotic behavior of some counting functions, II

• Autorzy: Wolfgang A. Schmid
• Języki publikacji: EN

Abstrakty

EN

The investigation of the counting function of the set of integral elements, in an algebraic number field, with factorizations of at most k different lengths gives rise to a combinatorial constant depending only on the class group of the number field and the integer k. In this paper the value of these constants, in case the class group is an elementary p-group, is estimated, and determined under additional conditions. In particular, it is proved that for elementary 2-groups these constants are equivalent to constants that are investigated in extremal graph theory.

Kategorie tematyczne

• 05C35: Extremal problems
• 11R27: Units and factorization
• 20K01: Finite abelian groups [For sumsets, see and ]

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2005
• Tom: 102
• Numer: 2
• Strony: 197-216

Daty

wydano

2005

Twórcy

autor

Wolfgang A. Schmid

• Institute for Mathematics and Scientific Computing, Karl-Franzens-Universität, Heinrichstrasse 36, 8010 Graz, Austria

Identyfikatory

DOI

10.4064/cm102-2-3