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Algebrai görbék a diofantikus számelméletben, Habilitation Thesis, University of Debrecen (2010) HabilitacioTSz.pdf
TezisekTSz.pdf
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Finding g-gonal numbers in recurrence sequences, Fibonacci Quarterly 46/47:(3) (2009) 235-240. G-gonal.pdf
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F. Luca, Sz. Tengely and A. Togbé
On the Diophantine Equation x^2 + C = 4y^n Ann. Sci. Math. Québec 33:(2) (2009) 171-184. LTT.pdf
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L. Hajdu, Sz. Tengely and R. Tijdeman
Cubes in products of terms in arithmetic progression, Publ. Math. Debrecen 74 (2009) 215-232. CubesAP.pdf
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L. Hajdu and Sz. Tengely
Arithmetic progressions of squares, cubes and n-th powers Functiones et Approximatio, Commentarii Mathematici 41:(2) (2009) 129-138. AP23n.pdf
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F. S. Abu Muriefah, F. Luca, S. Siksek and Sz. Tengely
On the Diophantine Equation x^2+C=2y^n, International Journal of Number Theory 5:(6) (2009) 1117-1128. LMST.pdf
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Y. Bugeaud, M. Mignotte, S. Siksek, M. Stoll and Sz. Tengely
Integral Points on Hyperelliptic Curves, Algebra and Num. Th. 2 (2008) 859-885. IntPoints.pdf
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Note on a paper "An Extension of a Theorem of Euler" by Hirata-Kohno et al., Acta Arith. 134 (2008) 329-335. ExtEuler.pdf
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S. Laishram, T. N. Shorey and Sz. Tengely
Squares in products in arithmetic progression with at most one term omitted and common difference a prime power, Acta Arith. 135 (2008) 143-158. SquaresinAP.pdf
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Triangles with two integral sides, Annales Mathematicae et Informaticae 34 (2007) 89-95. Triangle.pdf
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On the Diophantine equation x^2+q^2m=2y^p, Acta Arith. 127 (2007) 71-86. ExpDioph.pdf
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F. Beukers and Sz. Tengely:
An implementation of Runge's method for Diophantine equations BTRunge.pdf
Magma code: IntegralRungePoints.m
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N. Bruin, K. Győry, L. Hajdu and Sz. Tengely:
Arithmetic progressions consisting of unlike powers, Indag. Math. (N.S.) 17 (2006), 539-555. BGyHT.pdf
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Effective Methods for Diophantine Equations, (Ph.D. thesis, Leiden University, The Netherlands, 2005, under the supervision of Rob Tijdeman)
TengelyThesis.pdf
Stellingen.pdf
Cover.ps
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On the Diophantine equation x^2+a^2=2y^p, Indag. Math. (N.S.) 15 (2004), 291-304. ExpDioph.ps
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On the Diophantine equation F(x)=G(y), Acta Arith. 110 (2003), 185-200. FxGy.ps
Implementation of the algorithm described in the paper (a MAGMA code) Runge.m
README file about the MAGMA code Runge.m ReadmeRunge.txt
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I. Pink and Sz. Tengely:
Full powers in arithmetic progressions, Publ. Math. Debrecen 57 (2000), 535-545. PinkTengely.ps