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M. Cipu, A. Dujella, Y. Fujita,
Extensions of a Diophantine triple by adjoining smaller elements II,
Period. Math. Hungar. 89 (2024), 54-60.
K. Santicola,
Linear forms in logarithms, Summer project, University of Warwick, September 2022.
T. Cai,
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World Scientific, Singapore, 2022, Section 4.8, pp. 161-165.
Y. Fujita, I. Soldo,
On the extendibility of certain D(−1)-pairs in imaginary quadratic rings,
Indian J. Pure Appl. Math., to appear.
Y. Fujita, I. Soldo,
The non-existence of D(−1)-quadruples extending certain pairs in imaginary quadratic rings,
Acta Math. Hungar. 170 (2023), 455-482.
A. Dujella,
High-rank elliptic curves with given torsion group and some applications,
Number-Theoretic Methods in Cryptology (M. Grzeskowiak, J. Pieprzyk, J. Pomykala, ed.),
Banach Center Publications 126, Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2023, pp. 9-26.
S. Kim, C. H. Yip, S. Yoo,
Diophantine tuples and multiplicative structure of shifted multiplicative subgroups,
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M. Cipu, Y. Fujita,
On the length of D(±1)-tuples in imaginary quadratic rings,
Bull. Lond. Math. Soc. 56 (2024), 274-287.
K. Gyarmati,
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Eötvös Loránd University, 2023, Chapter 4.
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Diophantine m-tuples in Quadratic Number Fields, PhD thesis,
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Multiplicatively reducible subsets of shifted perfect k-th powers and bipartite Diophantine tuples,
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Z. Franusic, A. Jurasic,
On nonexistence of D(n)-quadruples,
Math. Slovaca 74 (2024), 835-844.
A. Dujella, M. Kazalicki, V. Petricevic,
Rational Diophantine sextuples with strong pair,
preprint, 2024.
S. Kim, C. H. Yip, S. Yoo,
Explicit constructions of Diophantine tuples over finite fields,
Ramanujan J. 65 (2024), 163-172.
M. Cipu, Y. Fujita, M. Mignotte,
Diophantine triples with three parameters,
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E. Barbeau,
Gregarious and reclusive triples. Part A: A visit to the land of Fibonacci,
Crux Mathematicorum 50 (2024), 190-192.
M. Jukic Bokun, I. Soldo,
Extensions of D(−1)-pairs in some imaginary quadratic fields,
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On k-generalized Fibonacci Diophantine triples,
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Paley-like quasi-random graphs arising from polynomials,
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C. H. Yip, S. Yoo,
F-Diophantine sets over finite fields,
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C. H. Yip,
Improved upper bounds on Diophantine tuples with the property D(n),
Bull. Aust. Math. Soc., to appear.
A. Dujella,
Diophantine m-tuples and Elliptic Curves,
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Gregarious and reclusive triples. Part B: A plethora of triples and quadruples,
Crux Mathematicorum 50 (2024), 244-247.
C. H. Yip,
Topics in arithmetic combinatorics,
PhD Thesis, University of British Columbia, 2024.
E. Barbeau,
Gregarious and reclusive triples. Part C: Finding triples when some elements are known,
Crux Mathematicorum 50 (2024), 290-293.
R. Rathbun,
2001 Diophantine sextuples of low height,
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T. Yesin Elsheikh,
Divisibility of Rational Points on Elliptic Curves and Arithmetic Progressions in Polynomial Dynamical Systems,
PhD thesis, Sabanci University, Istanbul, 2023.
R. Rathbun,
The search for Diophantine sextuples and a possible septuple,
distributed computing project, 2024, http://www.numbertheory.org/ntw/pdfs/search_for_Diophantine_sextuples.pdf
A. Dujella,
Triples, quadruples and quintuples which are D(n)-sets for several n's,
in: Class Groups of Number Fields and Related Topics (K. Chakraborty, A. Hoque and P. P. Pandey, Eds.),
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Diophantine triples and Ptolemy relation,
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On k-generalized Fibonacci Diophantine triples,
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On the asymptotics of D(n)-pairs and triples,
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J. M. Mouanda, K. K. Vincent,
On matrix strong Diophantine 27-tuples and matrix elliptic curves,
Mathematics and Systems Science 2(2) (2024), Article ID: 2624.
G. Batta, L. Hajdu, A. Pongracz,
On Diophantine graphs,
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