On the Average Number of Unitary Factors of Finite Abelian Groups (II) |
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| Authors: | Wenguang Zhai |
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| Institution: | (1) Department of Mathematics, Shandong Normal University, Jinan 250014, P. R. China, E-mail: wgzhai@jn-public.sd.cninfo.net, CN |
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| 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 for any exponent pair (κ1/2 + 2κ), which improves on the exponent 9/25 obtained by Xiaodong Cao and the author.
Received December 8, 1998, Revised April 27, 1998, Accepted June 12, 1998 |
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| Keywords: | Unitary factor Finite Abelian group Exponential sum Divisor problem |
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