Multidimensional exponential divisor function over Gaussian integers

Autor:	Lelechenko, Andrew V.
Rok vydání:	2012
Předmět:	Mathematics - Number Theory 11A05 11N37 11N56 11R16
Druh dokumentu:	Working Paper
Popis:	Let $\taue_k \colon \Z\to\Z$ be a multiplicative function such that $ \taue_k(p^a) = \sum_{d_1... d_k=a} 1 $. In the present paper we introduce generalizations of $\taue_k$ over the ring of Gaussian integers $\Zi$. We determine their maximal orders by proving a general result and establish asymptotic formulas for their average orders. Comment: 10 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1211.0724 Zobrazit plný text záznamu View this record from Arxiv