Paul van Wamelen

Publications

 

• Proof of the Evans-Root conjectures on Selberg character sums J. London Math. Soc. (2) 48 (1993) 415-426. (MR 95b:11076) (pre-print version in .dvi or .ps form)
   
  
• Equations for the Jacobian of a hyperelliptic curve, Trans. Amer. Math. Soc. 350 no. 8 (1998) 3083-3106. (Pre-print version in .dvi, .ps or .pdf form.)
   
  
• On the CM character of the curves $y^2 = x^q - 1$, J. Number Theory Vol. 64, no. 1 (1997), 59--83. (pre-print version in .dvi or .ps form).
   
  
• Class Numbers of Real Quadratic Function Fields, with C. Friesen Acta Arith. 81 (1997), no. 1, 45--55. (MR 98d:11141). (pre-print version in .dvi or .ps form)
   
  
• Examples of genus two CM curves defined over the rationals, Math. Comp., vol. 68 (1999), no. 225, 307--320. (Pre-print version in .dvi or .ps form. Note added in proof in .dvi or .ps form). The complete data is here: Genus 2 CM curves defined over the rationals.
   
  
• Class numbers and short sums of Kronecker symbols with Andrzej Schinzel and Jerzy Urbanowicz. J. Number Theory 78 (1999), no. 1, 62--84. (Pre-print version in .dvi or .ps form).
   
  
• Proving that a genus 2 curve has Complex Multiplication, Math. Comp. 68 (1999), no. 228, 1663--1677 (Pre-print version in .dvi or .ps or .pdf form). The complete data is here: Genus 2 CM curves defined over the rationals.
   
  
• Poonen's question concerning isogenies between Smart's genus 2 curves, Math. Comp. 69 (2000), no 232, 1685--1697. (Pre-print in .dvi, .ps or .pdf form.) See also Isogenies for Smart's curves.
   
  
• The maximum number of unit distances among n points in dimension four, Contributions to Algebra and Geometry 40 (1999), no. 2, 475--477 (Pre-print version in .dvi or .ps form).
   
  
• A fast expected time algorithm for the 2-D point pattern matching problem with Z. Li and S.S. Iyengar, Pattern Recognition. 37(8) 2004, 1699--1711. Pre-print .dvi (no figures),.ps or .pdf form.
   
  
• Jacobi sums over finite fields, Acta Arith. 102 (2002), no.1, 1--20. (Pre-print version in .dvi or .ps form.)
   
  
• Divisibility properties of generalized Vandermonde and Cauchy determinants, with Stanislaw Spiez and Jerzy Urbanowicz. Acta Arith. 110 (2003), 361-379. Pre-print in .dvi,.ps or .pdf form.
   
  
• On linear congruence relations for Kubota-Leopoldt 2-adic $L$-functions, with Jerzy Urbanowicz. J. Number Theory 98 (2003), no. 1, 195--216. Pre-print in .dvi,.ps or .pdf form.
   
  
• Integral bases for TQFT modules and unimodular representations of mapping class groups, with Patrick M. Gilmer and Gregor Masbaum. Commentarii Mathematici Helvetici. 79 (2004) 260-284. Pre-print version available at the ArXiv.
   
  
• Stark's Conjecture over Complex Cubic Number Fields, with David S. Dummit and Brett Tangedal. Math. Comp. 73 (2004), no. 247, 1525-1546. Pre-print in .dvi,.ps or .pdf form.
   
  
• Enumerating Motzkin-Rabin geometries. To appear in the Journal of Combinatorial Designs. Pre-print in .dvi,.ps or .pdf form.
   
  
• New explicit multiplicative relations between Gauss sums. To appear in the International Journal of Number Theory. Pre-print in .dvi,.ps or .pdf form.