On the domain of absolute convergence of Dirichlet series in several variables

Author:
Gideon Peyser

Journal:
Proc. Amer. Math. Soc. **9** (1958), 545-550

MSC:
Primary 10.00; Secondary 40.00

DOI:
https://doi.org/10.1090/S0002-9939-1958-0097360-6

MathSciNet review:
0097360

Full-text PDF

References | Similar Articles | Additional Information

**[1]**T. M. Gallie,*Region of convergence of Dirichlet series with complex exponents*, Proc. Amer. Math. Soc. vol. 7 (1956) pp. 627-629. MR**0079662 (18:124a)****[2]**G. H. Hardy and M. Riesz,*The general theory of Dirichlet's series*, Cambridge Tracts in Math. and Math. Physics, 1952.**[3]**E. Hille,*Note on Dirichlet's series with complex exponents*, Ann. of Math. vol. 25 (1924) pp. 261-278. MR**1502667****[4]**J. F. Ritt,*On a class of linear homogeneous differential equations of finite order with constant coefficients*, Trans. Amer. Math. Soc. vol. 18 (1917) pp. 27-49. MR**1501060****[5]**N. Artémiadès,*Sur les séries de Dirichlet à deux variables*, Bull. Sci. Math. (2) vol. 77 (1953) pp. 48-51. MR**0059392 (15:523a)**

Retrieve articles in *Proceedings of the American Mathematical Society*
with MSC:
10.00,
40.00

Retrieve articles in all journals with MSC: 10.00, 40.00

Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1958-0097360-6

Article copyright:
© Copyright 1958
American Mathematical Society