On elementary estimates of arithmetic sums for polynomial rings over finite fields

DOI10.1016/j.jnt.2018.10.015zbMath1454.11172OpenAlexW2904764357WikidataQ128812104 ScholiaQ128812104MaRDI QIDQ1729743

C. Summersby, Julio C. Andrade, Asmaa Shamesaldeen

Publication date: 28 February 2019

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

Full work available at URL: http://hdl.handle.net/10871/34758

zbMATH Keywords

finite fieldsarithmetic functionsdivisor functionspolynomial ring over a finite field

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic theory of polynomial rings over finite fields (11T55) Rate of growth of arithmetic functions (11N56)

Related Items (1)

Correlation of multiplicative functions over Fq[x$\mathbb {F}_q[x]$: A pretentious approach]

Cites Work

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• Proof of a conjecture of Grosswald
• Dirichlet multiplication in lattice point problems
• Dirichlet multiplication in lattice point problems. II
• Sieve methods for polynomial rings over finite fields
• Correction to ‘Shifted convolution and the Titchmarsh divisor problem over 𝔽 _q [ t ']
• On Uniform Elementary Estimates of Arithmetic Sums
• The Difference between Consecutive Prime Numbers

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