Almost perfect powers in consecutive integers. II

DOI10.1016/S0019-3577(08)80027-4zbMath1223.11039OpenAlexW2123694992MaRDI QIDQ735435

Tarlok N. Shorey, N. Saradha

Publication date: 22 October 2009

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

Full work available at URL: https://doi.org/10.1016/s0019-3577(08)80027-4

zbMATH Keywords

Thue equationsarithmetic progressionsexponential Diophantine equationsgeneralized Fermat equationsmodular methods

Mathematics Subject Classification ID

Thue-Mahler equations (11D59) Exponential Diophantine equations (11D61)

Related Items (3)

The Diophantine equation f(x)=g(y)$f(x)=g(y)$ for polynomials with simple rational roots ⋮ More variants of Erdős-Selfridge superelliptic curves and their rational points ⋮ Analytic number theory in India during 2001-2010

Cites Work

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• The Diophantine equation \((x^{k} - 1)(y^{k} - 1) = (z^{k} - 1)^{t}\)
• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• The product of consecutive integers is never a power
• Approximate formulas for some functions of prime numbers
• Almost perfect powers in consecutive integers
• Almost perfect powers in arithmetic progression
• POWERS FROM PRODUCTS OF CONSECUTIVE TERMS IN ARITHMETIC PROGRESSION
• On perfect powers in products with terms from arithmetic progressions
• On the diophantine equation $n(n+1)...(n+k-1) = bx^l$
• PRODUCTS OF CONSECUTIVE INTEGERS

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