Some Remarks on the abc-Conjecture
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Publication:4292077
DOI10.2307/2153551zbMath0804.11006OpenAlexW2028519840WikidataQ55968420 ScholiaQ55968420MaRDI QIDQ4292077
Juliusz Brzezinski, Jerzy Browkin
Publication date: 22 January 1995
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2153551
Number-theoretic algorithms; complexity (11Y16) Polynomials in number theory (11C08) Continued fractions (11A55) Linear Diophantine equations (11D04) Elementary number theory (11A99)
Related Items (15)
Lecture on the abc Conjecture and Some of Its Consequences ⋮ Algorithms for Finding Good Examples for the abc and Szpiro Conjectures ⋮ Sequences of powers with second differences equal to two and hyperbolicity ⋮ \(abc\) triples ⋮ A generalized \(abc\)-conjecture over function fields ⋮ Notes on a generalized \(abc\)-conjecture over function fields ⋮ Value distribution theory and Diophantine approximation ⋮ ABC implies there are infinitely many non-Fibonacci-Wieferich primes ⋮ Bivariate polynomial injections and elliptic curves ⋮ LLL \(\and\) ABC ⋮ The ABC conjecture and the powerful part of terms in binary recurring sequences ⋮ A weak effective \(abc\)-conjecture ⋮ Gaps between integers with the same prime factors ⋮ Quadratic sequences of powers and Mohanty’s conjecture ⋮ Some examples related to the $abc$-conjecture for algebraic number fields
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