Fernando Rodriguez Villegas

     
   
   

publications

  • Mixed Hodge polynomials of character varieties
    (joint with Tamas Hausel)
    pdf

  • Computing central values of L-series
    dvi   pdf

  • Counting colorings on a variety
    dvi   pdf

  • Integral ratios of factorials and algebraic hypergeometric functions
    (Summary of talk at Oberwolfach)
    dvi   pdf

  • Computation of central value of quadratic twists of modular L-functions
    (joint with Z. Mao and G. Tornaria)
    dvi   pdf

  • Lattice polygons, Hecke operators and the Ehrahrt polynomial
    (joint with P. Gunnells)
    pdf

  • On the Jacobians of plane cubics
    (joint with M. Artin and J. Tate)
    dvi   pdf

  • Computation of central value of quadratic twists of modular L-functions
    (joint with A. Pacetti and an appendix by B. Gross)
    dvi   pdf

  • Blet, a mathematical puzzle
    (joint with L. Sadun and J. F. Voloch)
    pdf

  • Estimates for Mahler's measure of a linear form
    (joint with R. Toledano and J. Vaaler)
    pdf

  • Hypergeometric families of CY threefolds
    dvi   ps

  • Calabi Yau manifolds over finite fields II
    (joint with P. Candelas and X. de la Ossa)
    pdf

  • Calabi Yau manifolds over finite fields I
    (joint with P. Candelas and X. de la Ossa)
    pdf

  • Constructions of plane curves with many points
    (joint with F. Voloch and D. Zagier)
    dvi   pdf

  • On certain plane curves with many integral points
    (joint with F. Voloch)
    dvi   pdf

  • Identities between Mahler measures
    dvi   ps

  • Mahler measure and the Dilogarithm I
    (joint with David Boyd)
    dvi   ps   slides

  • On the zeros of certain polynomials
    dvi   ps

  • Explicit models of genus 2 curves with split CM
    pdf   ps

  • Lattice polygons and the number 12
    (joint with B. Poonen)
    ps   pdf
    gif (picture of the 16 classes of reflexive polygons).

  • Modular Mahler Measures
    dvi   ps

  • On the Tate-Shafarevich group of certain elliptic curves
    (joint with F. Hajir)
    pdf

  • Explicit elliptic units I
    (joint with F. Hajir)
    pdf

  • Convergence acceleration of alternating series
    (joint H. Cohen and D. Zagier)
    pdf

  • Concordant sequences and integral-valued entire functions
    (joint with J. Pila)
    pdf

  • Central values of Hecke L-functions of CM number fields
    (joint with T. Yang)
    pdf

  • On the Taylor coefficients of theta functions of CM elliptic curves
    pdf

  • Which primes are sum of two cubes?
    (joint with D. Zagier)
    pdf

  • The congruences of Clausen-von Staudt and Kummer
    for half-integral weight Eisenstein series
    pdf

  • Square root formulas for central values of Hecke L-series II
    pdf

  • Square root formulas for central values of Hecke L-series
    (joint with D. Zagier)
    pdf

  • On the square root of the special value of certain L-functions
    (My thesis)
    pdf

  • Extensiones Cuaternionicas
    My first publication (1984 in Spanish)
    pdf