On the abscissas of a Dirichlet series and its subseries supported on prime factorization
Abstract
For a sequence { a n } n ⩾ 1 ⊆ ( 0 , ∞ ) \{a_n\}_{n \geqslant 1} \subseteq (0, \infty ) and a Dirichlet series f ( s ) = ∑ n = 1 ∞ a n n − s f(s) = \sum _{n=1}^\infty a_n n^{-s} , let σ a ( f ) \sigma _a(f) denote the abscissa of absolute convergence of f f and let δ a ( f ) ≔ inf { ℜ ( s ) : ∑ j = 1 g p f ( j ) ⩽ p
Fields of Study & Subjects
Holomorphic and Operator Theory
Meromorphic and Entire Functions
Advanced Banach Space Theory
Publication details
- Journal / source
- Proceedings of the American Mathematical Society
- Publication date
- 30 July 2026
- Language
- EN