A note on Diophantine quintuples

A problem of Diophantus and Dickson's conjecture

A variant of Wiener's attack on RSA with small secret exponent

A variant of Wiener’s attack on RSA

Arithmetic progressions and Pellian equations

Bounds for the size of sets with the property D(n)

COMPLETE SOLUTION OF A PROBLEM OF DIOPHANTUS AND EULER

article by Andrej Dujella & CLEMENS FUCHS published February 2005 in Journal of the London Mathematical Society

Complete solution of the polynomial version of a problem of Diophantus

article by Andrej Dujella & Clemens Fuchs published June 2004 in Journal of Number Theory

Decomposition of a recursive family of polynomials

Diophantine $m$-tuples and elliptic curves

Diophantine m-tuples for linear polynomials II. Equal degrees

Diophantinem-tuples with elements in arithmetic progressions

Elliptic Curves with Torsion Group ℤ/8ℤ or ℤ/2ℤ×ℤ/6ℤ

Elliptic curves and Triangles with three rational medians

Elliptic curves coming from Heron triangles

Elliptic curves with large torsion and positive rank over number fields of small degree and ECM factorization

Elliptic curves with torsion group Z/6Z ⬇️

Finiteness results for F-Diophantine sets

High-rank elliptic curves with torsion induced by Diophantine triples

article

INDECOMPOSABILITY OF POLYNOMIALS AND RELATED DIOPHANTINE EQUATIONS

ON THE FAMILY OF DIOPHANTINE TRIPLES {k − 1, k + 1, 16k − 4k}

ON THE SIZE OF SETS IN A POLYNOMIAL VARIANT OF A PROBLEM OF DIOPHANTUS

On Hall's conjecture

On Mordell-Weil groups of elliptic curves induced by Diophantine triples

On a Conjecture Regarding Balancing with Powers of Fibonacci Numbers

On a problem of Diophantus for higher powers

On a problem of Diophantus for rationals

article published in 2012

On arithmetic progressions on Pellian equations

On high rank $\pi/3$ and $2\pi/3$-congruent number elliptic curves

On power values of pyramidal numbers, I

On the Indecomposability of Polynomials*

On the number of Diophantine m-tuples

On the rank of elliptic curves coming from rational Diophantine triples

article

On the rank of elliptic curves over $\mathbf{Q}(i)$ with torsion group $\mathbf{Z}/4\mathbf{Z} \times \mathbf{Z}/4\mathbf{Z}$

On the size of sets whose elements have perfect power $n$-shifted products

On the sum of two divisors of (n 2 + 1)/2

On the torsion group of elliptic curves induced by D(4)-triples

On the torsion group of elliptic curves induced by Diophantine triples over quadratic fields

Products of three factorial

Rational Diophantine sextuples with mixed signs

Root separation for irreducible integer polynomials

Solving a family of quartic Thue inequalities using continued fractions

article published in 2011

Strong Diophantine Triples

Sumsets being squares

2013 scholarly article

The rank and generators of Kihara’s elliptic curve with torsion $\mathbf{Z}/4\mathbf{Z}$ over $\mathbf{Q}(t)$ ⬇️

article by Andrej Dujella et al published August 2015 in Proceedings of the Japan Academy Series A

There Are Infinitely Many Rational Diophantine Sextuples ⬇️

What is a Diophantine $m$-tuple?