35 research outputs found
Temperature inversion symmetry in the Casimir effect with an antiperiodic boundary condition
We present explicitly another example of a temperature inversion symmetry in
the Casimir effect for a nonsymmetric boundary condition. We also give an
interpretation for our result.Comment: 4 page
Zeta function method and repulsive Casimir forces for an unusual pair of plates at finite temperature
We apply the generalized zeta function method to compute the Casimir energy
and pressure between an unusual pair of parallel plates at finite temperature,
namely: a perfectly conducting plate and an infinitely permeable one. The high
and low temperature limits of these quantities are discussed; relationships
between high and low temperature limits are estabkished by means of a modified
version of the temperature inversion symmetry.Comment: latex file 9 pages, 3 figure
Zeros of analytic functions, with or without multiplicities
The classical Mason-Stothers theorem deals with nontrivial polynomial
solutions to the equation . It provides a lower bound on the number of
distinct zeros of the polynomial in terms of the degrees of , and
. We extend this to general analytic functions living on a reasonable
bounded domain , rather than on the whole of . The estimates obtained are sharp, for any , and a generalization of
the original result on polynomials can be recovered from them by a limiting
argument.Comment: This is a retitled and slightly revised version of my paper
arXiv:1004.359