This article is cited in 3 papers

On Convergence and Growth of Multiple Dirichlet Series

Meili Liang, Zongsheng Gao

Beihang University, Beijing, P. R.~China

Abstract: In the present paper, the Valiron formula of simple Dirichlet series is extended to $n$-tuple Dirichlet series. And an equivalence relation between the order of $n$-tuple Dirichlet series and its coefficients and exponents is obtained.

Keywords: $n$-tuple Dirichlet series, convergent abscissa, maximal module, maximal term, order.

UDC: 517.53

Received: 28.08.2008

DOI: 10.4213/mzm6374

 English version: Mathematical Notes, 2010, 88:5, 732–740

Bibliographic databases:

• 
• 
•