On the Erdős primitive set conjecture in function fields

DOI10.1016/j.jnt.2020.09.001zbMath1469.11042arXiv2007.02301OpenAlexW3095195250WikidataQ113870370 ScholiaQ113870370MaRDI QIDQ2212641

Mirilla Zhu, Andrés Gómez-Colunga, Nathan McNew, Charlotte Kavaler

Publication date: 24 November 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.02301

zbMATH Keywords

factorizationprimitive setspolynomials over finite fields

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Special sequences and polynomials (11B83) Distribution of integers with specified multiplicative constraints (11N25)

Related Items (1)

A proof of the Erdős primitive set conjecture

Cites Work

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• On a conjecture of Erdős on the sum \(\sum_{p\leq n}1/(p\,\log \,p)\)
• On the size of primitive sets in function fields
• Almost primes and the Banks-Martin conjecture
• On the Evaluation of Some Multiple Series
• Simultaneous prime specializations of polynomials over finite fields
• Upper Bound of ∑1/(a i loga i ) for Primitive Sequences
• The Erdős conjecture for primitive sets
• Sums over primitive sets with a fixed number of prime factors
• Optimal primitive sets with restricted primes
• 75.9 Euler’s Constant

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