Results 11 to 20 of about 298,841 (143)

Fuglede's conjecture for a union of two intervals [PDF]

open access: yesarXiv, 2000
We prove that a union of two intervals in R is a spectral set if and only if it tiles R by translations.
arxiv  

Potpourri, 9 [PDF]

open access: yesarXiv, 2004
These notes, associated with a topics course, are concerned with Hausdorff measures and Lipschitz functions on metric spaces.
arxiv  

Alexander polynomials of doubly primitive knots [PDF]

open access: yesarXiv, 2005
We give a formula for Alexander polynomials of doubly primitive knots.
arxiv  

A product decomposition for the classical quasisimple groups [PDF]

open access: yesarXiv, 2005
We prove that every quasisimple group of classical type is a product of boundedly many conjugates of a quasisimple subgroup of type A_n.
arxiv  

Sharp form for improved Moser-Trudinger inequality [PDF]

open access: yesarXiv, 2006
We prove that the improved Moser-Trudinger inequality with optimal coefficient $\alpha =1/2$ holds for all functions on $S^2$ with zero moments.
arxiv  

9 Divides no Odd Fibonacci [PDF]

open access: yesarXiv, 2007
I discuss numbers that divide no odd Fibonacci. Number 9 plays a special role among such numbers.
arxiv  

On an identity of Ky Fan [PDF]

open access: yesarXiv, 2008
We give several applications of an identity for sums of weakly stationary sequences due to Ky Fan.
arxiv  

Circle immersions that can be divided into two arc embeddings [PDF]

open access: yesarXiv, 2009
We give a complete characterization of a circle immersion that can be divided into two arc embeddings in terms of its chord diagram.
arxiv  

On the equality conditions of the Brunn-Minkowski theorem [PDF]

open access: yesarXiv, 2010
This article describes a new proof of the equality condition for the Brunn-Minkowski inequality.
arxiv  

Mod 2 Morava K-theory for Frobenius complements of exponent dividing 2^n 9 [PDF]

open access: yesarXiv, 2011
We determine the cohomology rings K(s)*(BG) at 2 for all finite Frobenius complements G of exponent dividing 2n 9.
arxiv  

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