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A. B. Dixit, S. Kim and M. Ram Murty, Generalized Diophantine m-tuples,
Proc. Amer. Math. Soc.150 (2022), 1455-1465.
G. Drazic, Rational D(q)-quintuples,
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM116 (2022), no. 1, Paper No. 9.
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Indag. Math. (N.S.)33 (2022), 440-449.
B. Edjeou, B. Faye, C. A. Gomez and F. Luca, On Y-coordinates of Pell equations which are Lucas numbers,
Ramanujan J.59 (2022), 1091-1136.
A. Filipin, M. Jukic Bokun and I. Soldo, On D(-1)-triples {1,4p2+1,1-p}
in the ring Z[√-p] with a prime p, Period. Math. Hungar.85 (2022), 292-302.
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Y. Fujita and I. Soldo, D(−1)-tuples in the ring Z[√-k] with k > 0,
Publ. Math. Debrecen100 (2022), 49-67.
J. Garcia and C. A. Gomez, On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers,
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM116 (2022), no. 3, Paper No. 103.
C. A. Gomez, J. C. Gomez and F. Luca, On the exponential Diophantine equation
Fxn+1-Fxn-1
=Fym, Taiwanese J. Math.26 (2022), 685-712.
A. Gueye, S. E. Rihane and A. Togbe, Coincidence between k-Fibonacci numbers and products of two Fermat numbers,
Bull. Braz. Math. Soc. (N.S.)53 (2022), 541-552.
A. N. W. Hone, Heron triangles with two rational medians and Somos-5 sequences,
Eur. J. Math.8 (2022), 1424-1486.
A. Juyal and D. Moody, Pairs of Heron and right triangles with a common area and a common perimeter,
Publ. Math. Debrecen100 (2022), 449-460.
A. Juyal, D. Moody and B. Roy, On ranks of quadratic twists of a Mordell curve,
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M. Kazalicki and B. Naskrecki (with an appendix by L. Lasic), Diophantine triples and K3 surfaces,
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A. Kreutz, D. Marques and P. Trojovsky, On Fibonacci numbers as sum of powers of two consecutive tribonacci numbers,
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F. Luca, E. Tchammou and A. Togbe, On an exponential Diophantine equation involving powers of consecutive terms
of the Padovan sequence, Publ. Math. Debrecen101 (2022), 451-475.
F. Morain, Modular curves over number fields and ECM,
Res. Number Theory8 (2022), no. 4, Paper No. 97, 17 pp.
N. G. Moshchevitin, On the distribution of nonprimitive lattice points in the plane,
Canad. Math. Bull.65 (2022), 198-207.
F. Najman and A. Trbovic, Splitting of primes in number fields generated by points on some modular curves,
Res. Number Theory8 (2022), no. 2, Paper No. 28.
D. I. Nassr, M. Anwar and H. M. Bahig, Improving small private exponent attack on the Murru-Saettone cryptosystem,
Theoret. Comput. Sci.923 (2022), 222-234.
A. Pinter and Cs. Rakaczki, Indecomposability of linear combinations of Bernoulli polynomials,
Publ. Math. Debrecen100 (2022), 487-494.
S. E. Rihane, k-Pell numbers as product of two repdigits,
Mediterr. J. Math.19 (2022), Paper No. 61.
S. E. Rihane, F. Luca and A. Togbé, There are no Diophantine quadruples of Pell numbers,
Int. J. Number Theory18 (2022), no. 1, 27-45.
S. E. Rihane and A. Togbé, On the intersection of k-Lucas sequences and some binary sequences,
Period. Math. Hungar.84 (2022), 125-145.
M. Sadek and T. Yesin, Divisibility by 2 on quartic models of elliptic curves and rational Diophantine D(q)-quintuples,
Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM116 (2022), no. 3, Paper No. 139.
Z. Siar and R. Keskin, k-generalized Pell numbers which are concatenation of two repdigits,
Mediterr. J. Math.19 (2022), Paper No. 180.
Z. Siar and R. Keskin, k-generalized Pell numbers which are repdigits in base b,
Turkish J. Math.46 (2022), 3083-3094.
K. N. Adedji, M. Bliznac Trebjesanin, A. Filipin and A. Togbe,
On the D(4)-pairs {a,ka} with k ∈ {2,3,6},
Glas. Mat. Ser. III58 (2023), 35-57.
K. N. Adedji, V. Dossou-yovo, S. E. Rihane and A. Togbe,
Padovan or Perrin numbers that are concatenations of two distinct base b repdigits,
Math. Slovaca73 (2023), 49-64.
K. N. Adedji, F. Luca and A. Togbe, On the solutions of the Diophantine equation
Pn ± a(10m−1)/9 = k!,
Eur. J. Math.9 (2023), Paper No. 34, 19 pp.
M. Bliznac Trebjesanin, D(4)-triples with two largest elements in common,
Math. Slovaca73 (2023), 343-352.
E. F. Bravo, Common values of Padovan and Perrin sequences,
Mediterr. J. Math.20 (2023), no. 5, Paper No. 268, 19 pp.
K. Chakraborty, S. Gupta and A. Hoque, On a conjecture of Franusic and Jadrijevic: counter-examples,
Results Math.78 (2023), no. 1, Paper No. 18, 14 pp.
K. Chakraborty, S. Gupta and A. Hoque, Diophantine triples with the property D(n) for distinct n's,
Mediterr. J. Math.20 (2023), no. 1, Paper No. 31, 13 pp.
A. Choudhry and A. Shamsi Zargar, An octic diophantine equation and related families of elliptic curves,
Int. J. Number Theory19 (2023), 1967-1976
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Bull. Iranian Math. Soc.49 (2023), no. 5, Paper No. 62, 16 pp.
B. Faye and B. Edjeou, On the problem of Pillai with Pell numbers, Pell-Lucas numbers and powers of 3,
Int. J. Number Theory19 (2023), 71-92.
M. N. Faye, S. E. Rihane and A. Togbé, On repdigits which are sums or differences of
two k-Pell numbers, Math. Slovaca73 (2023), 1409-1422.
C. Fuchs and S. Heintze, A polynomial variant of diophantine triples in linear recurrences,
Period. Math. Hungar.86 (2023), 289-299.
Y. Fujita and M. Le, Uniqueness conjecture on simultaneous Pell equations,
Acta Arith.207 (2023), 279-296.
Y. Fujita and I. Soldo, The non-existence of D(−1)-quadruples extending certain pairs in imaginary quadratic rings,
Acta Math. Hungar.170 (2023), 455-482.
V. Ghale, S. Das and D. Chakraborty, A Heron triangle and a Diophantine equation,
Period. Math. Hungar.86 (2023), 530-537.
C. A. Gomez, J. C. Gomez and F. Luca, On a variant of an identity relating cubes of three consecutive Fibonacci numbers,
Bull. Malays. Math. Sci. Soc.46 (2023), no. 2, Paper No. 47, 31 pp.
B. Grechuk, T. Grechuk and A. Wilcox, Diophantine equations with three monomials,
J. Number Theory253 (2023), 69-108.
T. Hammonds, S. Kim, S. J. Miller, A. Nigam, K. Onghai, D. Saikia and L. M. Sharma,
k-Diophantine m-tuples in finite fields,
Int. J. Number Theory19 (2023), 891-912.
L. Hajdu, R. Tijdeman and N. Varga, Diophantine equations for Littlewood polynomials,
Acta Arith.210 (2023), 223-234.
T. Huang, M. Lalin and O. Mila, Spherical Heron triangles and elliptic curves,
J. Theor. Nombres Bordeaux35 (2023), 219-246.
N. Irmak, A generalization of the equation (2k−1)(3l−1)=5m−1,
Quaest. Math.46 (2023), 2563-2575.
M. Kazalicki and D. Vlah, Ranks of elliptic curves and deep neural networks,
Res. Number Theory9 (2023), no. 3, Paper No. 53.
M. Le and A. Srinivasan, A note on Dujella's unicity conjecture,
Glas. Mat. Ser. III58 (2023), 59-65.
N. K. Meher and S. S. Rout, Cullen numbers in sums of terms of recurrence sequence,
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J. Park, Complete solution of Diophantine pairs induced by some Fibonacci formula,
Algebra Colloq.30 (2023), 121-132.
T. Pejkovic, Schneider's p-adic continued fractions,
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I. E. Shparlinski, On the number of Diophantine m-tuples in finite fields,
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S. Salami, A. Shamsi Zargar, Rational θ-parallelogram envelopes via θ-congruent elliptic curves,
Int. J. Number Theory19 (2023), 1681-1706.
Z. Siar, On the exponential Diophantine equation
Fnx ± Fmx = a with
a ∈ {Fr,Lr},
Int. J. Number Theory19 (2023), no. 1, 41–57.
I. Vukusic, On a cubic family of Thue equations involving Fibonacci numbers and powers of two,
Quaest. Math.46 (2023), 1-21.
C. A. Gomez, J. C. Gomez and F. Luca, The complete solution of the Diophantine equation
(Fn+1(k))x
- (Fn−1(k))x
=Fm(k),
Mediterr. J. Math.21 (2024), no. 1, 13.
S. Nansoko, E. Tchammou and A. Togbé, Balancing numbers as sum of same power of consecutive balancing
numbers, Vietnam J. Math.52 (2024), 75-88.
Papers and preprints - complete list of the authors