LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS

DOI10.1142/S1793042108001286zbMath1173.11007arXivmath/0512012MaRDI QIDQ3602971

Daqing Wan, Zhi-Wei Sun

Publication date: 12 February 2009

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

Full work available at URL: https://arxiv.org/abs/math/0512012

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Cyclotomic extensions (11R18)

Related Items (1)

Divisibility on point counting over finite Witt rings

Cites Work

• Unnamed Item
• On the sum \(\sum_{k\equiv r\pmod m}{n\choose k}\) and related congruences.
• A congruence of Lucas' type
• A number-theoretic approach to homotopy exponents of \(\text{SU}(n)\)
• Combinatorial congruences and \(\psi\)-operators
• A binomial coefficient congruence modulo prime powers
• An extension of Lucas’ theorem
• Combinatorial congruences modulo prime powers
• Polynomial extension of Fleck's congruence

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