scientific article; zbMATH DE number 7157983

zbMath1481.11023MaRDI QIDQ5212135

Eric Jovinelly, E. Fiorini, Nathaniel Benjamin, Grant Fickes, Edgar Jaramillo Rodriguez, Wing Hong Tony Wong

Publication date: 27 January 2020

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL22/Fiorini/fiorini3.html

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

Sylvester's theoremCatalan triangleprime powerperfect powerGyőry and Pintér's theoremsemiprime powersquarefull number

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83) Diophantine equations in many variables (11D72)

Uses Software

• OEIS

Cites Work

• Binomial Thue equations, ternary equations and power values of polynomials
• Divisibility of generalized Catalan numbers
• On the diophantine equation ${n \choose k} = x^l$
• On the scarcity of powerful binomial coefficients
• Primary cyclotomic units and a proof of Catalans conjecture
• On a Theorem of Sylvester and Schur
• On a Diophantine Equation
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