Two new kinds of numbers and related divisibility results

DOI10.4064/cm7405-1-2018zbMath1428.11014arXiv1408.5381OpenAlexW2963559169WikidataQ128964178 ScholiaQ128964178MaRDI QIDQ4562584

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Publication date: 17 December 2018

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.5381

zbMATH Keywords

congruencesinteger sequencesbinomial coefficientsprimes of the form x2+ y2

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) (q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Sums of squares and representations by other particular quadratic forms (11E25) Other combinatorial number theory (11B75) Congruences; primitive roots; residue systems (11A07)

Related Items (6)

Proof of some congruence conjectures of Guo and Liu ⋮ Proof of a conjecture of Z.-W. Sun on ratio monotonicity ⋮ Proof of a conjecture of Sun and its extension by Guo ⋮ Proof of three divisibilities of Franel numbers and binomial coefficients ⋮ On a ratio monotonicity conjecture of a new kind of numbers ⋮ On Motzkin numbers and central trinomial coefficients

Cites Work

• On the mod \(p^2\) determination of \(\binom{(p-1)/2}{(p-1)/4}\)
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