34 citations · 34 across the 2 of their papers we have counts for
3 papers
Calabi-Yau Manifolds Over Finite Fields, II
Philip Candelas, Xenia de la Ossa, Fernando Rodriguez-Villegas
We study zeta-functions for a one parameter family of quintic threefolds defined over finite fields and for their mirror manifolds and comment on their structure. The zeta-function…
Mahler's Measure and the Dilogarithm (II)
David W. Boyd, Fernando Rodriguez-Villegas, Nathan M. Dunfield
We continue to investigate the relation between the Mahler measure of certain two variable polynomials, the values of the Bloch--Wigner dilogarithm and the values o…
Calabi-Yau Manifolds Over Finite Fields, I
Philip Candelas, Xenia de la Ossa, Fernando Rodriguez-Villegas
We study Calabi-Yau manifolds defined over finite fields. These manifolds have parameters, which now also take values in the field and we compute the number of rational points of t…