**Florian Luca**
(Mathematical Institute of UNAM, Morelia, Mexico):

Concatenating perfect powers

October 6, 2004.

**Damir Horvat:**
Fast algorithms for integer multiplication

October 13, 2004.

**Mirta Mataija:**
Continued fractions and cryptanalysis of RSA

October 20, 2004.

**Volker Ziegler** (Technische Universität Graz, Austria):

Thue equations over function fields

October 27, 2004.

**Vinko Petricevic:**
Length of the period of the continued fraction expansion of
a square root

November 10, 2004.

**Mirsad Puskar:**
Number systems with negative digits

November 24, 2004.

**Andrej Dujella:**
Euler's problem on sets in which *xy* + *x* + *y*
is always a square

December 15, 2004.

**Danijel Kopcinovic:**
Weil pairing and MOV attack I

January 26, 2005.

**Danijel Kopcinovic:**
Weil pairing and MOV attack II

February 2, 2005.

**Danijel Kopcinovic:**
Index calculus method for elliptic curves

February 23, 2005.

**Mathieu Dutour** (Rudjer Boskovic Institute, Zagreb):

Geometry of numbers - Delaunay polytopes in lattices

March 9, 2005.

**Alan Filipin:** Nonextendibility of D(-1)-triples of the form
{1,10,*c*}

April 6, 2005.

**Zrinka Franusic:** Diophantine quadruples in the ring
**Z**[√2]

April 27, 2005.

**Andrej Dujella:** Asymptotic estimates for the numbers of
Diophantine pairs, triples and quadruples

May 18, 2005.

**Bernadin Ibrahimpasic:** Real fields

June 1, 2005.

**Bernadin Ibrahimpasic:** Valuations and completions

June 8, 2005.

**Matija Kazalicki:** Galois groups of the trinomials
*ax*^{7} + *bx* + *c*

June 15, 2005.

**Zrinka Franusic:** Extensions of a family of Diophantine triples
in **Z**[*i*]

June 29, 2005.

**Petra Tadic:** Nonsingular curves

July 6, 2005.

**Ivan Matic:** Riemann-Roch theorem

September 28, 2005.

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