Curious congruences for cyclotomic polynomials

DOI10.1007/S40993-022-00410-0zbMath1503.11007arXiv2204.11267OpenAlexW4309198496MaRDI QIDQ2100587

Shigeki Akiyama, Hajime Kaneko

Publication date: 24 November 2022

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

Full work available at URL: https://arxiv.org/abs/2204.11267

zbMATH Keywords

cyclotomic polynomialscongruence relationJordan totient functionEuler's totient function

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Congruences; primitive roots; residue systems (11A07) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (1)

Curious congruences for cyclotomic polynomials II

Uses Software

• OEIS

Cites Work

• Coefficients and higher order derivatives of cyclotomic polynomials: old and new (with an appendix by Pedro García-Sánchez)
• Jordan totient quotients
• Some properties of the cyclotomic polynomial
• A survey on coefficients of cyclotomic polynomials
• Cyclotomic polynomials at roots of unity
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