Browsing Queen's Graduate Theses and Dissertations by Subject "Number theory"
Now showing items 1-2 of 2
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Arithmetic and Intermediate Jacobians of Calabi-Yau threefolds
(2015-09-10)This thesis is centered around particular Calabi-Yau threefolds. Borcea \cite{Borcea} and Voisin \cite{Voisin} construct Calabi-Yau threefolds using elliptic curves and K3 surfaces with non-symplectic involutions. This ... -
Generalization of Ruderman's Problem to Imaginary Quadratic Fields
(2012-04-13)In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...