Proof of some conjectures of Z.-W. Sun on the divisibility of certain double sums

DOI10.1142/S1793042116500391zbMath1346.11016arXiv1412.5415OpenAlexW2964300986WikidataQ123308794 ScholiaQ123308794MaRDI QIDQ2800145

Ji-Cai Liu, Victor J. W. Guo

Publication date: 15 April 2016

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

Full work available at URL: https://arxiv.org/abs/1412.5415

zbMATH Keywords

Catalan numbercongruencesLegendre symbolZeilberger's algorithm

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Congruences; primitive roots; residue systems (11A07) Symbolic computation of special functions (Gosper and Zeilberger algorithms, etc.) (33F10)

Related Items (4)

Proof of some congruence conjectures of Guo and Liu ⋮ Proof of a conjecture of Z.-W. Sun on ratio monotonicity ⋮ Divisibility results on Franel numbers and related polynomials ⋮ On a ratio monotonicity conjecture of a new kind of numbers

Uses Software

• SumTools

Cites Work

• Unnamed Item

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