Perfect powers in values of certain polynomials at integer points

DOI10.1017/S0305004100064112zbMath0598.10029OpenAlexW2052811371MaRDI QIDQ3731688

Tarlok N. Shorey

Publication date: 1986

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100064112

zbMATH Keywords

linear forms in logarithmsdiophantine equationgreatest prime factorBaker's methodperfect powershigher degree equation

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41) (p)-adic and power series fields (11D88)

Related Items

Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials, Powers from products of terms in progressions with gaps, On the Diophantine equation |𝑎𝑥ⁿ-𝑏𝑦ⁿ|=1, Perfect powers in products of arithmetical progressions with fixed initial term, More variants of Erdős-Selfridge superelliptic curves and their rational points, Unnamed Item, The Nagell-Ljunggren equation via Runge's method

Cites Work

• New applications of Diophantine approximations to Diophantine equations.
• Contributions to the theory of diophantine equations I. On the representation of integers by binary forms
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
• Note on the Product of Consecutive Integers (II)
• On a Diophantine Equation