Dirichlet series of integers with missing digits
نویسندگان
چکیده
For certain sequences A of positive integers with missing g-adic digits, the Dirichlet series FA(s)=∑a∈Aa−s has abscissa convergence σc<1. The number σc is computed. This generalizes and strengthens a classical theorem Kempner on sum reciprocals sequence decimal digits.
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 2021
ISSN: ['0022-314X', '1096-1658']
DOI: https://doi.org/10.1016/j.jnt.2020.10.002