Perfect powers in products of arithmetical progressions with fixed initial term

DOI10.1016/S0019-3577(97)89137-9zbMath0874.11034MaRDI QIDQ675791

Tarlok N. Shorey

Publication date: 11 May 1997

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

perfect powersexponential diophantine equationproducts of arithmetical progressions

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61) Arithmetic progressions (11B25)

Related Items (3)

Rational solutions to the variants of Erdős–Selfridge superelliptic curves ⋮ The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ Binomial coefficients and Lucas sequences

Cites Work

• On the product of consecutive elements of an arithmetic progression
• Pure powers in recurrence sequences and some related diophantine equations
• The product of consecutive integers is never a power
• Perfect powers in values of certain polynomials at integer points
• Perfect powers in products of integers from a block of consecutive integers (II)
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
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