On Some Exponential Equations of S. S. Pillai
From MaRDI portal
Publication:2753429
DOI10.4153/CJM-2001-036-6zbMath0984.11014MaRDI QIDQ2753429
Publication date: 11 November 2001
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)
Related Items (28)
On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) ⋮ Pillai's equation in polynomials ⋮ An upper bound for the number of solutions of ternary purely exponential Diophantine equations ⋮ On a variant of Pillai's problem. II. ⋮ A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) ⋮ Generalizations of classical results on Jeśmanowicz' conjecture concerning Pythagorean triples ⋮ On Jeśmanowicz' conjecture concerning primitive Pythagorean triples ⋮ ON A CONJECTURE CONCERNING THE NUMBER OF SOLUTIONS TO ⋮ On the Diophantine equation 𝑈_{𝑛}-𝑏^{𝑚}=𝑐 ⋮ Pillai's conjecture for polynomials ⋮ The number of solutions to the generalized Pillai equation \(\pm ra^{x} \pm sb^{y}=c\). ⋮ On \(p^x-q^y=c\) and related three term exponential Diophantine equations with prime bases. ⋮ Multiplicative dependence of the translations of algebraic numbers ⋮ ON THE NUMBER OF SOLUTIONS OF THE DIOPHANTINE EQUATIONaxm−byn=c ⋮ On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II ⋮ Number of solutions to \(ka^x+lb^y=c^z\) ⋮ A function field variant of Pillai's problem ⋮ The generalized Pillai equation \(\pm ra^x\pm sb^y=c\) ⋮ On the exponential Diophantine equation (18m2 + 1)x + (7m2 -1)y = (5m)z ⋮ On a variant of Pillai’s problem ⋮ Unnamed Item ⋮ ON THE EXPONENTIAL DIOPHANTINE EQUATION ⋮ A note on the exponential Diophantine equation \((rlm^2-1)^x+(r(r-l)m^2+1)^y=(rm)^z\) ⋮ Pillai's problem with k-Fibonacci and Pell numbers ⋮ Linear Forms in Logarithms ⋮ Consecutive tuples of multiplicatively dependent integers ⋮ Bennett's Pillai theorem with fractional bases and negative exponents allowed
This page was built for publication: On Some Exponential Equations of S. S. Pillai
