On the average number of unitary factors of finite Abelian groups (II)

Authors
Zhai, WG
Citation
Wg. Zhai, On the average number of unitary factors of finite Abelian groups (II), ACTA MATH S, 16(4), 2000, pp. 549-554
Citations number
8
Categorie Soggetti
Mathematics
Journal title
ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN journal
10009574 → ACNP
Volume
16
Issue
4
Year of publication
2000
Pages
549 - 554
Database
ISI
SICI code
1000-9574(200010)16:4<549:OTANOU>2.0.ZU;2-V
Abstract
Let t(G) be the number of unitary factors of finite abelian group G. In thi s paper we prove T(x) = Sigma (\G\less than or equal tox) t(G) = main terms + O(x1+2k/3+4k+epsilon) for any exponent pair (k, 1/2 + 2k), which improve s on the exponent 9/25 obtained by Xiaodong cao and the author.