Phone: (+385 1) 4605 780
Fax: (+385 1) 4680 335
Room: 301 (3rd floor)
E-mail: duje@math.hr
URL: https://web.math.pmf.unizg.hr/~duje/
https://dujella.github.io/
Site Map
Publication list (with papers in pdf format)
Diophantine equations (11D)
- Diophantine m-tuples, i.e. sets with the property that
the product of any two of its distinct elements is one less
than a square; Simultaneous Pellian equations; Thue equations and inequalities
Elliptic curves (11G05)
- Construction of high-rank elliptic curves;
Integer points on families of elliptic curves
Diophantine approximations (11J)
- Applications of Baker's theory and hypergeometric method;
Continued fractions
Polynomials (11C08)
- Indecomposability of polynomials and related Diophantine equations;
Polynomial root separation
Fibonacci and Lucas numbers (11B39)
- Diophantine and divisibility properties of binary recursive
sequences; Connections with Diophantine m-tuples
Cryptography (94A60)
- Elliptic Curve Cryptography; Cryptanalysis of RSA; Teaching
Book: Diophantine m-tuples and Elliptic Curves Just published!
Studentski seminar - Eliptičke krivulje i njihova primjena u kriptografiji
(Student seminar - Elliptic curves and their applications in cryptography) (2002/2003)
Mentorstva diplomskih radova (Graduation Thesis Supervisorships)
Mentorstva doktorskih disertacija i magistarskih radova
(Ph.D. Dissertations and Master's Thesis Supervisorships)
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