A mean counting function for Dirichlet series and compact composition operators
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DOI: 10.1016/j.aim.2021.107775
Abstract: We introduce a mean counting function for Dirichlet series, which plays the same role in the function theory of Hardy spaces of Dirichlet series as the Nevanlinna counting function does in the classical theory. The… read more here.
Keywords: counting function; mean counting; function; dirichlet series ... See more keywords
On the limit shape of elements of an arithmetic semigroup with an exponentially growing counting function of basis elements
Sign Up to like & getrecommendations! Published in 2017 at "Doklady Mathematics"
DOI: 10.1134/s1064562417030115
Abstract: We consider an arithmetic semigroup with exponential growth of the counting function of abstract primes. The Bose–Einstein statistics provides the most probable mean occupation numbers in the sense that large deviations of a sum of… read more here.
Keywords: limit shape; arithmetic semigroup; elements arithmetic; counting function ... See more keywords