24 results
A problem of Erdős–Graham–Granville–Selfridge on integral points on hyperelliptic curves
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- Mathematical Proceedings of the Cambridge Philosophical Society / Volume 176 / Issue 2 / March 2024
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- 05 October 2023, pp. 309-323
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- March 2024
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DIOPHANTINE EQUATIONS OF THE FORM $Y^n=f(X)$ OVER FUNCTION FIELDS
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- Bulletin of the Australian Mathematical Society / Volume 108 / Issue 3 / December 2023
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- 18 May 2023, pp. 379-390
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- December 2023
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Fermat’s Last Theorem over $\mathbb {Q}(\sqrt {\text{5}})$ and $\mathbb {Q}(\sqrt {\text{17}})$
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- Canadian Journal of Mathematics / Volume 76 / Issue 1 / February 2024
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- 21 November 2022, pp. 18-38
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- February 2024
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On ternary Diophantine equations of signature $(p,p,\text{3})$ over number fields
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- Canadian Journal of Mathematics / Volume 75 / Issue 4 / August 2023
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- 24 June 2022, pp. 1293-1313
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- August 2023
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DIOPHANTINE EQUATIONS FOR POLYNOMIALS WITH RESTRICTED COEFFICIENTS, I (POWER VALUES)
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- Bulletin of the Australian Mathematical Society / Volume 106 / Issue 2 / October 2022
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- 22 February 2022, pp. 254-263
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- October 2022
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A UNIQUE PERFECT POWER DECAGONAL NUMBER
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- Bulletin of the Australian Mathematical Society / Volume 105 / Issue 2 / April 2022
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- 06 August 2021, pp. 212-216
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- April 2022
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INTEGERS REPRESENTED BY $x^{4}-y^{4}$ REVISITED
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- Bulletin of the Australian Mathematical Society / Volume 103 / Issue 1 / February 2021
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- 20 May 2020, pp. 38-49
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- February 2021
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The generalized Fermat equation with exponents 2, 3, $n$
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- Compositio Mathematica / Volume 156 / Issue 1 / January 2020
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- 26 November 2019, pp. 77-113
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- January 2020
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ON PERFECT $K$-RATIONAL CUBOIDS
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- Bulletin of the Australian Mathematical Society / Volume 97 / Issue 1 / February 2018
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- 04 October 2017, pp. 26-32
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- February 2018
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FAMILIES OF THUE EQUATIONS ASSOCIATED WITH A RANK ONE SUBGROUP OF THE UNIT GROUP OF A NUMBER FIELD
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- Mathematika / Volume 63 / Issue 3 / 2017
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- 29 November 2017, pp. 1060-1080
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- 2017
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PERFECT POWERS THAT ARE SUMS OF CONSECUTIVE CUBES
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- Mathematika / Volume 63 / Issue 1 / 2017
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- 05 October 2016, pp. 230-249
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- 2017
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Rational points on Erdős–Selfridge superelliptic curves
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- Compositio Mathematica / Volume 152 / Issue 11 / November 2016
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- 14 July 2016, pp. 2249-2254
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- November 2016
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The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields
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- Compositio Mathematica / Volume 151 / Issue 8 / August 2015
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- 06 March 2015, pp. 1395-1415
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- August 2015
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A DIOPHANTINE PROBLEM CONCERNING POLYGONAL NUMBERS
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- Bulletin of the Australian Mathematical Society / Volume 88 / Issue 2 / October 2013
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- 25 January 2013, pp. 345-350
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- October 2013
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On the equations a2−2b6=cp and a2−2=cp
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- LMS Journal of Computation and Mathematics / Volume 15 / May 2012
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- 01 May 2012, pp. 158-171
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RATIONAL POINTS ON THREE SUPERELLIPTIC CURVES
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- Bulletin of the Australian Mathematical Society / Volume 85 / Issue 1 / February 2012
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- 06 September 2011, pp. 105-113
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- February 2012
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The Mordell–Weil sieve: proving non-existence of rational points on curves
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- LMS Journal of Computation and Mathematics / Volume 13 / January 2010
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- 01 August 2010, pp. 272-306
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ON A CLASS OF GENERALIZED FERMAT EQUATIONS
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- Bulletin of the Australian Mathematical Society / Volume 82 / Issue 3 / December 2010
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- 18 June 2010, pp. 505-510
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- December 2010
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Rational points on the superelliptic Erdös Selfridge curve of fifth degree
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- Mathematika / Volume 50 / Issue 1-2 / December 2003
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- 26 February 2010, pp. 113-124
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- December 2003
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On integers which are not differences of two powers
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- Mathematika / Volume 49 / Issue 1-2 / June 2002
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- 26 February 2010, pp. 231-243
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- June 2002
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