Quadratic sequences of powers and Mohanty’s conjecture

DOI10.1142/S1793042118500306zbMath1420.11065arXiv1610.05340WikidataQ122920620 ScholiaQ122920620MaRDI QIDQ3133127

Natalia Garcia-Fritz

Publication date: 13 February 2018

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

Full work available at URL: https://arxiv.org/abs/1610.05340

zbMATH Keywords

function field arithmeticcurves of low genusquadratic sequencesMohanty's conjecture

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Rational points (14G05) Higher degree equations; Fermat's equation (11D41)

Related Items (3)

Explicit computation of symmetric differentials and its application to quasihyperbolicity ⋮ A Chabauty-Coleman bound for surfaces ⋮ Büchi’s Problem in Modular Arithmetic for Arbitrary Quadratic Polynomials

Cites Work

• Powerful values of polynomials and a conjecture of Vojta
• Finiteness theorems for abelian varieties over number fields.
• A higher dimensional analogue of Mordell's conjecture over function fields
• Number theory III: Diophantine geometry
• Integral solutions in arithmetic progression for \(y^2 = x^3 + k\)
• On symmetric square values of quadratic polynomials
• Rational Points in Arithmetic Progressions on y² = xⁿ + k
• On Sequences of Squares with Constant Second Differences
• On square values of quadratics
• Integer solution in arithmetic progression fory 2−k=x 3
• The Geometry of Schemes
• Some Remarks on the abc-Conjecture
• Questions of decidability and undecidability in Number Theory
• On square values of quadratics
• Reduction of Singularities of the Differential Equation Ady = Bdx
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