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THE HURWITZ ZETA DISTRIBUTION
Author(s) -
Hu ChinYuan,
Iksanov Aleksander M.,
Lin Gwo Dong,
Zakusylo Oleg K.
Publication year - 2006
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/j.1467-842x.2006.00420.x
Subject(s) - mathematics , riemann zeta function , arithmetic zeta function , normalization (sociology) , infinite divisibility , riemann hypothesis , riemann xi function , particular values of riemann zeta function , pure mathematics , distribution (mathematics) , divisibility rule , prime zeta function , mathematical analysis , sociology , anthropology
Summary This paper shows that a normalization of the Hurwitz zeta function is a characteristic function. This generalizes the 1938 result of Khinchine about the Riemann zeta function. The paper investigates the infinite divisibility of the resulting distribution.