activity
19992007
most citedA Li-type criterion for zero-free half-planes of Riemann's zeta function

2 citations · 4 across the 3 of their papers we have counts for

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Showing 2007Show all

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math.SP2007★ 1 cited

Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the Laplacian on thin planar domains

Denis Borisov, Pedro Freitas

We consider the Laplace operator with Dirichlet boundary conditions on a planar domain and study the effect that performing a scaling in one direction has on the spectrum. We deriv…

math.SP2007★ 1 cited

A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains

Pedro Freitas, David Krejcirik

We show that as the ratio between the first Dirichlet eigenvalues of a convex domain and of the ball with the same volume becomes large, the same must happen to the corresponding r…