Publications


(1) Automatic Solution of Families of Thue equations and an Example of Degree 8,
       joint work with C.Heuberger and A. Togbe ,
     Journal of Symbolic Computations 38(3) (2004), 1145-1163. 

     Preprint: (dvi, ps, pdf) , see also here

(2) Graphs, Partitions and Fibonacci Numbers,
     joint work with A. Knopfmacher, R. Tichy and S. Wagner ,
     Discrete Applied Mathematics155(10) (2007), 1175-1187. 

     Preprint: (dvi, ps, pdf)

(3) On a family of Cubics over Imaginary Quadratic Fields,
     Periodica Mathematica Hungarica 51(2) (2005), 109-130. 

     Preprint: (dvi, ps, pdf)

(4) On a family of relative quartic Thue inequalities,
     Journal of Number Theory 120(2) (2006), 303-325.  
 
     Preprint: (dvi, ps, pdf)

(5) On a family of Thue equations over function fields,
     joint work with C. Fuchs,
     Monatshefte für Mathematik 147(1) (2006), 11-23.  

     Preprint: (dvi, ps, pdf)

(6) Thomas' Family of Thue equations over Function Fields,
     joint work with C. Fuchs,
     Quarterly Journal of Mathematics 57(1) (2006), 81-91.  

     Preprint: (dvi, ps, pdf)

(7) On the corner avoiance properties of various low-discrepancy sequences,
     joint work with J. Hartinger and R. Kainhofer,
     INTEGERS, Electronic Journal of Combinatorial Number Theory 5(3) (2005), A10.  

     Preprint: (dvi, ps, pdf)

(8) A system of relative Pellian equations and a related family of relative Thue equations,
     joint work with B. Jadrijevic ,
     International Journal of Number Theory 2(4) (2006), 569-590.  
     Preprint: (dvi, ps, pdf)

(9) On a certain Family of quartic Thue Equations with three Parameters,   
     Glasnik Matematicki 41(1) (2006), 9-30.  
     Preprint: (dvi, ps, pdf)

(10) Parameterized Norm Form Equations with Arithmetic progressions,
     joint work with A. Berczes and A. Pethö ,
     Journal of Symbolic Computations 41(7) (2006), 790-810.  
     Preprint: (dvi, ps, pdf)

(11) A note on corner avoidance of random-start Halton sequences,
     joint work with J. Hartinger,
     SIAM Journal on Numerical Analysis 45(3) (2007), 1109-1121
     Preprint: (dvi, ps, pdf)

(12) Thomas' conjecture over Function Fields for degree 3,   
     Journal de Theorie des Nombres de Bordeaux. 19 (2007), 289-309.  
     Preprint: (dvi, ps, pdf)

(13) Arithmetic progressions on Pell equations,
     joint work with A. Pethö ,
     Journal of Number Theory. 128(6) (2008), 1389-1409
     Preprint: (dvi, ps, pdf)

(14) Units generating the ring of integers of complex cubic fields,
     joint work with R. Tichy
     Colloquim mathematicum. 109(1) (2007), 71-83
     Preprint: (dvi, ps, pdf)

(15) On the distribution of the order of number field elements modulo prime ideals,   
     Journal of Uniform Distribution Theory 1 (2007), 65-87.
     Preprint: (dvi, ps, pdf)

(16) The additive unit structure of complex bi-quadratic fields,   
     Glasnik Matematicki. 43(2) (2008), 293-307
     Preprint: (dvi, ps, pdf)

(17) The additive unit structure of purely quartic complex fields,   
     joint work with A. Filipin and R. Tichy
     Funct. Approx. Comment. Math. 39(6) (2008), 113-131
     Preprint: (dvi, pdf)

(18) On the quantitative unit sum number problem - an application of the Subspace Theorem,   
     joint work with A. Filipin and R. Tichy
     Acta Arithmetica. 133(4) (2008), 297-308.
     Preprint: (dvi, pdf)

(19) On Thue equations of splitting type over function fields,   
     to appear in Rocky Mountain Journal of Mathematics
     Preprint: (dvi, pdf)

(20) On a family of Thue equations of degree $16$,   
     submitted
     Preprint: (dvi, pdf)

(21) On quantitative aspects of the unit sum number problem,   
     joint work with C. Fuchs and R. Tichy
     to appear in Archiv für Mathematik
     Preprint: (dvi, pdf)

(22) Metric discrepancy theory, functions of bounded variation and GCD sums,   
     joint work with C. Aistleitner and P. Mayer
     submitted
     Preprint: (dvi, pdf)


Last modified on 04.08.2009 by Volker Ziegler