A Hasse-type principle for exponential Diophantine equations and its applications

DOI10.1090/mcom/3002zbMath1377.11041arXiv1407.6499OpenAlexW1588759690MaRDI QIDQ2792344

Csanád Bertók, Lajos Hajdu

Publication date: 9 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.6499

zbMATH Keywords

exponential Diophantine equationsHasse principleCarmichael's functionS-unit equations

Mathematics Subject Classification ID

Congruences in many variables (11D79) Diophantine equations in many variables (11D72) Exponential Diophantine equations (11D61)

Related Items (10)

A purely exponential Diophantine equation in three unknowns ⋮ The complete solution of the Diophantine equation \((4m^2 + 1)^x + (5m^2 - 1)^y = (3m)^z\) ⋮ Skolem's conjecture confirmed for a family of exponential equations. III. ⋮ The resolution of three exponential Diophantine equations in several variables ⋮ Linear combinations of prime powers in binary recurrence sequences ⋮ Resolution of the equation \((3^{x_{1}}-1)(3^{x_{2}}-1)=(5^{y_{1}}-1)(5^{y_{2}}-1)\) ⋮ On the exponential Diophantine equation \((3pm^2-1)^x + ( p( p - 3)m^2 + 1)^y = (pm)^z\) ⋮ A Hasse-type principle for exponential Diophantine equations over number fields and its applications ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\) ⋮ Skolem’s conjecture confirmed for a family of exponential equations, II

Uses Software

• SageMath

Cites Work

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