| Publication | Date of Publication | Type |
|---|
| A NOTE ON THE NUMBER OF SOLUTIONS OF TERNARY PURELY EXPONENTIAL DIOPHANTINE EQUATIONS | 2023-02-28 | Paper |
| The number of irregular Diophantine quadruples for a fixed Diophantine pair or triple | 2022-10-21 | Paper |
| A parametric family of ternary purely exponential Diophantine equation $A^x+B^y=C^z$ | 2022-09-06 | Paper |
| Extensions of a Diophantine triple by adjoining smaller elements | 2022-08-31 | Paper |
| The extension of the \(D(-k)\)-pair \(\{k,k+1\}\) to a quadruple | 2022-08-23 | Paper |
| On exponential Diophantine equations concerning Pythagorean triples | 2022-08-23 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5864868 | 2022-06-10 | Paper |
| A note on the number of solutions of the Pillai type equation \(| a^x - b^y | = k\) | 2022-06-08 | Paper |
| Some exponential Diophantine equations. II: The equation \(x^2 - dy^2=k^z\) for even \(k\) | 2022-04-06 | Paper |
| $D(-1)$-tuples in the ring $\mathbb{Z}[\sqrt{-k}$ with $k>0$] | 2022-02-22 | Paper |
| Dem'janenko's theorem on Jeśmanowicz' conjecture concerning Pythagorean triples revisited | 2021-11-02 | Paper |
| A NOTE ON JEŚMANOWICZ’ CONJECTURE CONCERNING NONPRIMITIVE PYTHAGOREAN TRIPLES | 2021-07-07 | Paper |
| Diophantine triples with largest two elements in common | 2021-06-29 | Paper |
| Uniqueness of solutions to simultaneous Pell equations | 2021-02-16 | Paper |
| On the generalized Ramanujan-Nagell equation \(x^2+(2c-1)^m=c^n\) | 2021-01-25 | Paper |
| Generators and integral points on certain quartic curves | 2020-05-07 | Paper |
| An infinite two-parameter family of Diophantine triples | 2020-02-25 | Paper |
| Diophantine pairs that induce certain Diophantine triples | 2020-01-31 | Paper |
| The Mordell--Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$ | 2019-02-01 | Paper |
| There are no Diophantine quadruples of Fibonacci numbers | 2018-11-01 | Paper |
| Two-parameter families of uniquely extendable Diophantine triples | 2018-04-11 | Paper |
| On the number of extensions of a Diophantine triple | 2018-04-04 | Paper |
| The regularity of Diophantine quadruples | 2018-03-28 | Paper |
| On Diophantine quadruples of Fibonacci numbers | 2017-12-01 | Paper |
| Bounds for Diophantine quintuples II | 2016-11-25 | Paper |
| Bounds for Diophantine quintuples | 2015-09-15 | Paper |
| Generators and integral points on twists of the Fermat cubic | 2015-04-02 | Paper |
| The extendibility of diophantine pairs I: the general case | 2014-11-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2927748 | 2014-11-04 | Paper |
| On Diophantine quintuples and \(D(-1)\)-quadruples | 2014-10-31 | Paper |
| Jeśmanowicz’ Conjecture with Congruence Relations. II | 2014-10-21 | Paper |
| The extendibility of Diophantine pairs. II: Examples | 2014-09-12 | Paper |
| The number of Diophantine quintuples II | 2014-02-17 | Paper |
| Generators and integer points on the elliptic curve y2=x3-nx | 2013-10-09 | Paper |
| The extension of the \(D(-k^2)\)-pair \(\left\{k^2, k^2+1\right\}\) | 2013-08-06 | Paper |
| Generators for the elliptic curve y[sup 2 = x[sup 3]−nx II] | 2013-04-25 | Paper |
| Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three | 2013-02-28 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4897957 | 2012-12-28 | Paper |
| Jeśmanowicz' conjecture with congruence relations | 2012-12-06 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2915716 | 2012-09-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2906771 | 2012-09-05 | Paper |
| THE NON-EXTENDIBILITY OF SOME PARAMETRIC FAMILIES OF D(-1)-TRIPLES | 2012-09-05 | Paper |
| Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\) | 2012-04-03 | Paper |
| On the Mordell-Weil group of the elliptic curve | 2012-02-11 | Paper |
| The D(-k2)-triple {1,k2+1,k2+4} with k prime | 2012-02-09 | Paper |
| Generators for the elliptic curve \(y^2=x^3-nx\) | 2011-10-10 | Paper |
| https://portal.mardi4nfdi.de/entity/Q2998723 | 2011-05-18 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3069437 | 2011-01-26 | Paper |
| Generators for the elliptic curve y[sup 2 = x[sup 3]−nx] | 2010-08-18 | Paper |
| Extensions of the \(D(\mp k^2)\)-triples \(\{k^2,k^2 \pm 1, 4k^2 \pm 1\}\) | 2010-08-13 | Paper |
| The number of Diophantine quintuples | 2010-06-17 | Paper |
| The Hoggatt-Bergum conjecture on \(D(-1)\)-triples \(\{F_{2k+1}\), \(F_{2k+3}\), \(F_{2k+5}\}\) and integer points on the attached elliptic curves | 2010-01-05 | Paper |
| Any Diophantine quintuple contains a regular Diophantine quadruple | 2009-06-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3512053 | 2008-07-11 | Paper |
| Diophantine quadruples containing some triples and the number of Diophantine quintuples | 2008-05-02 | Paper |
| The extensibility of Diophantine pairs \(\{k - 1,k+1\}\) | 2008-02-04 | Paper |
| The D(1)-extensions of D(-1)-triples {1,2,c} and integer points on the attached elliptic curves | 2007-09-20 | Paper |
| Torsion on elliptic curves in isogeny classes | 2007-08-09 | Paper |
| The non-extensibility of D(4k)-triples {1, 4k(k-1), 4k^2+1} with |k| prime | 2007-08-01 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3436123 | 2007-05-08 | Paper |
| https://portal.mardi4nfdi.de/entity/Q3417411 | 2007-01-29 | Paper |
| The 2-primary torsion on elliptic curves in the \(\mathbb Z_p\)-extensions of \(\mathbb Q\) | 2005-12-06 | Paper |
| Torsion subgroups of elliptic curves in elementary abelian 2-extensions of \(\mathbb Q\) | 2005-09-22 | Paper |
| Torsion subgroups of elliptic curves with non-cyclic torsion over Q in elementary abelian 2-extensions of Q | 2004-11-29 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4424872 | 2003-09-07 | Paper |