More variants of Erdős-Selfridge superelliptic curves and their rational points

DOI10.1007/s13226-019-0328-5zbMath1455.11091OpenAlexW2945160664MaRDI QIDQ2283200

N. Saradha

Publication date: 30 December 2019

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-019-0328-5

zbMATH Keywords

rational solutionsexponential Diophantine equationsternary formssuper elliptic curves

Mathematics Subject Classification ID

Rational points (14G05) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Higher degree equations; Fermat's equation (11D41)

Related Items (1)

Rational solutions to the variants of Erdős–Selfridge superelliptic curves

Cites Work

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• Almost perfect powers in consecutive integers. II
• Almost perfect powers in arithmetic progression
• Squares in blocks from an arithmetic progression and Galois group of Laguerre polynomials
• VARIANTS OF ERDŐS–SELFRIDGE SUPERELLIPTIC CURVES AND THEIR RATIONAL POINTS
• Perfect powers in products of integers from a block of consecutive integers
• Perfect powers in values of certain polynomials at integer points
• Squares in products from a block of consecutive integers
• Cubes in products of terms from an arithmetic progression
• Perfect powers in products of integers from a block of consecutive integers (II)
• On a variation of the Erdős–Selfridge superelliptic curve
• On the equation n(n+d)⋅⋅⋅(n+(i₀-1)d)(n+(i₀+1)d)⋅⋅⋅(n+(k-1)d)=y^lwith 0<i₀<k-1
• Rational points on Erdős–Selfridge superelliptic curves

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