On Convergence and Growth of Multiple Dirichlet Series

Authors：中文名

Source：Mathematical Notes, 2010, 88(5-6): 732-740.

DOI：10.1134/S000143461011012X

• n-tuple Dirichlet series
• convergent abscissa
• maximal module
• maximal term
• order

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.

• Institution
  Beijing University of Aeronautics and Astronautics(BUAA)