On the Average Number of Unitary Factors of Finite Abelian Groups (II)

Authors
Zhai, Wenguang
Citation
Zhai, Wenguang, On the Average Number of Unitary Factors of Finite Abelian Groups (II), Acta mathematica Sinica. English series (Print) , 16(4), 2000, pp. 549-554
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
4
Year of publication
2000
Pages
549 - 554
Database
ACNP
SICI code
Abstract
Let t(G) be the number of unitary factors of finite abelian group G. In this paper we prove T(x)=. |G|.x t(G) = main terms +O(x1+2.3+4.+.) for any exponent pair (.1/2 + 2.), which improves on the exponent 9/25 obtained by Xiaodong Cao and the author.