Fernando Rodriguez Villegas

articles

Some classical p-adic analysis
(Summary of talk at Oberwolfach July 2009)
pdf
The structure of bivariate rational hypergeometric functions
(joint with E. Cattani and A. Dickenstein)
arxiv
Topology of character varieties and representations of quivers
(joint with Tamas Hausel and Emmanuel Letellier)
arxiv
Counting Quiver Representations over Finite Fields Via Graph Enumeration
(joint with Geir Helleloid)
arxiv
Arithmetic harmonic analysis on character and quiver varieties
(joint with Tamas Hausel and Emmanuel Letellier)
arxiv
Mixed Hodge polynomials of character varieties
(joint with Tamas Hausel with an appendix by N. Katz)
arxiv
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 2005)
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 with 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