The equations \(2^N\pm 2^M\pm 2^L=z^2\)

DOI10.1016/S0019-3577(02)90011-XzbMath1014.11022OpenAlexW2015805705MaRDI QIDQ1866462

László Szalay

Publication date: 5 June 2003

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(02)90011-x

zbMATH Keywords

squaresexponential Diophantine equationsbinary expansion

Mathematics Subject Classification ID

Exponential Diophantine equations (11D61)

Related Items (16)

Products of integers with few nonzero digits ⋮ On the generalized Pillai equation \(\pm a^{x}\pm b^{y}=c\) ⋮ PERFECT POWERS WITH THREE DIGITS ⋮ Arithmetic properties of positive integers with fixed digit sum ⋮ Squares with Three Nonzero Digits ⋮ Unnamed Item ⋮ Ledrappier’s system is almost mixing of all orders ⋮ On the Diophantine equation \(p^{x_1} - p^{x_2} = q^{y_1} - q^{y_2}\) ⋮ On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II ⋮ Perfect powers with few binary digits and related Diophantine problems, II ⋮ On the digital representation of integers with bounded prime factors ⋮ Perfect squares representing the number of rational points on elliptic curves over finite field extensions ⋮ On the Diophantine equation \(1 + 2^a + x^b = y^n\) ⋮ On sparse perfect powers ⋮ On the binary digits of \(n\) and \(n^2\) ⋮ Bennett's Pillai theorem with fractional bases and negative exponents allowed

Cites Work

• The diophantine equation \(x^2+7=2^n\)
• On the generalized Ramanujan-Nagell equation I
• Über eine Diophantische Gleichung von Ramanujan-Nagell und ihre Verallgemeinerung
• Unnamed Item
• Unnamed Item
• Unnamed Item

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