Some basic results in elementary number theory in function fields

DOI10.1016/J.JNT.2015.07.016zbMath1331.11101OpenAlexW2210345753MaRDI QIDQ746943

Ngoc Dong Quan Nguyen

Publication date: 21 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2015.07.016

zbMATH Keywords

Carlitz modulecyclotomic function fieldsEuler's totient functionCarmichael's totient function conjectureSierpiński's conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Cyclotomic function fields (class groups, Bernoulli objects, etc.) (11R60)

Cites Work

• Irreducible values of polynomials
• \(L\)-functions of twisted Legendre curves
• The number of solutions of \(\varphi (x)=m\)
• Simultaneous prime specializations of polynomials over finite fields
• Explicit Class Field Theory for Rational Function Fields
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