A Generalization of the Erdös-Kac Theorem and its Applications

DOI10.4153/CMB-2004-057-4zbMath1078.11058MaRDI QIDQ4658818

Yu-Ru Liu

Publication date: 21 March 2005

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

asymptotic results on arithmetic functionsgeneralized primesErdős-Kac theorem

Mathematics Subject Classification ID

Distribution functions associated with additive and positive multiplicative functions (11N60) Generalized primes and integers (11N80)

Related Items (9)

An elemental Erdős–Kac theorem for algebraic number fields ⋮ The Erdős-Kac theorem for polynomials of several variables ⋮ On the number of irreducible factors with a given multiplicity in function fields ⋮ Analytic number theory for 0-cycles ⋮ A prime analogue Erdős-Pomerance result for Drinfeld modules with arbitrary endomorphism rings ⋮ Large and moderate deviation principles for the Erdős-Kac theorem in function fields ⋮ Prime analogues of the Erdős-Kac theorem for elliptic curves ⋮ STATISTICS OF PRIME DIVISORS IN FUNCTION FIELDS ⋮ GAUSSIAN LAWS ON DRINFELD MODULES

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