Polynomial values of surface point counting polynomials

DOI10.1142/S1793042121500020zbMath1476.11066MaRDI QIDQ5857372

O. Herendi, Lajos Hajdu

Publication date: 1 April 2021

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

polynomial valueslattice point counting polynomials

Mathematics Subject Classification ID

Higher degree equations; Fermat's equation (11D41)

Cites Work

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• Corrigendum to ``On a conjecture of Schäffer concerning the equation \(1^k+x^k=y^n\)
• Diophantine equations with Appell sequences
• Polynomial values of (alternating) power sums
• The equation \(1^p+2^p+3^p+\ldots+n^p=m^q\)
• On \(S\)-integral solutions of the equation \(y^ m=f(x)\)
• Generalized balancing numbers
• On the Diophantine equation \(1^k+2^k+\dots +x^k+R(x)=y^2\)
• On the Diophantine equation \(x(x + 1)(x + 2)\dots (x + (m - 1)) =g(y)\)
• On the equation $y^m = P(x)$
• On the equation $1^k + 2^k + ... + x^k = y^z$
• On the diophantine equation ${n \choose k} = x^l$
• The Diophantine equation f(x) = g(y)
• On the Diophantine equation $1^k+2^k+\dotsb+x^k=y^n$
• Equal values of standard counting polynomials
• On a Diophantine Equation

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