On the domain of absolute convergence of Dirichlet series in several variables
HTML articles powered by AMS MathViewer
- by Gideon Peyser PDF
- Proc. Amer. Math. Soc. 9 (1958), 545-550 Request permission
References
- T. M. Gallie Jr., Region of convergence of Dirichlet series with complex exponents, Proc. Amer. Math. Soc. 7 (1956), 627–629. MR 79662, DOI 10.1090/S0002-9939-1956-0079662-0 G. H. Hardy and M. Riesz, The general theory of Dirichlet’s series, Cambridge Tracts in Math. and Math. Physics, 1952.
- Einar Hille, Note on Dirichlet’s series with complex exponents, Ann. of Math. (2) 25 (1924), no. 3, 261–278. MR 1502667, DOI 10.2307/1967914
- J. F. Ritt, On a general class of linear homogeneous differential equations of infinite order with constant coefficients, Trans. Amer. Math. Soc. 18 (1917), no. 1, 27–49. MR 1501060, DOI 10.1090/S0002-9947-1917-1501060-0
- Nicolas Artémiadès, Sur les séries de Dirichlet à deux variables, Bull. Sci. Math. (2) 77 (1953), 48–51 (French). MR 59392
Additional Information
- © Copyright 1958 American Mathematical Society
- 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