We present a simple and accessible method which uses contour integration methods to
derive formulae for functional determinants. To make the presentation as clear as possible …

This book originated from an unpublished, very preliminary manuscript of ours of 2001. Our
plan was to use it as a basis for a comprehensive treatment of the defocusing nonlinear …

Simple and analytically tractable expressions for functional determinants are known to exist
for many cases of interest. We extend the range of situations for which these hold to cover …

A bstract We study the strong coupling behaviour of 1/4-BPS circular Wilson loops (a family
of “latitudes”) in\(\mathcal {N}= 4\) Super Yang-Mills theory, computing the one-loop …

We explore the extent to which a variant of a celebrated formula due to Jost and Pais, which
reduces the Fredholm perturbation determinant associated with the Schrödinger operator on …

We give formulas for the analytic extension of the zeta function of the induced Laplacian L
on a disc and on a cone. This allows the explicit computation of the value of the zeta function …

We consider a regular singular Sturm-Liouville operator $ L:=-\frac {d^ 2}{dx^ 2}+\frac {q
(x)}{x^ 2 (1-x)^ 2} $ on the line segment $[0, 1] $. We impose certain boundary conditions …

The principal aim in this paper is to develop an effective and unified approach to the
computation of traces of resolvents (and resolvent differences), Fredholm determinants, ζ …

A general technique is developed for calculating functional determinants of second-order
differential operators with Dirichlet, periodic, and antiperiodic boundary conditions, without …

arXiv:dg-ga/9707022v1 30 Jul 1997 Page 1 arXiv:dg-ga/9707022v1 30 Jul 1997 On the
Determinant of One-Dimensional Elliptic Boundary Value Problems Matthias Lesch and …