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.
This publication is cited in the following 3 articles:
Hongyan Xu, Guangsheng Chen, Hari Mohan Srivastava, Hong Li, Zuxing Xuan, Yongqin Cui, “A Study of the Growth Results for the Hadamard Product of Several Dirichlet Series with Different Growth Indices”, Mathematics, 10:13 (2022), 2220
Cui Y.-Q., Xu H.-Ya., Li N., “The Growth on the Maximum Modulus of Double Dirichlet Series”, J. Funct. space, 2019, 9191346
Liang M., “on Order and Type of Multiple Dirichlet Series”, Acta Math. Sci., 35:3 (2015), 703–708