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7 papers · 1 filter
Lower order terms of the second moment of
Tsz Ho Chan
In this article, we derive an asymptotic formula for the second moment of which includes the lower order terms using a prediction from the ratios conjecture of Conrey, Farme…
Fire containment in grids of dimension three and higher
Mike Develin, Stephen G. Hartke
We consider a deterministic discrete-time model of fire spread introduced by Hartnell [1995] and the problem of minimizing the number of burnt vertices when deploying a limited num…
Higher moments of primes in short intervals II
Tsz Ho Chan
Given good knowledge on the even moments, we derive asymptotic formulas for -th moments of primes in short intervals and prove "equivalence" result on odd moments. We also provi…
Converse theorems assuming a partial Euler product
David W. Farmer, Kevin Wilson
Associated to a newform is a Dirichlet series with functional equation and Euler product. Hecke showed that if the Dirichlet series has a functional equation…
Dimensions of tight spans
Mike Develin
Given a finite metric, one can construct its tight span, a geometric object representing the metric. The dimension of a tight span encodes, among other things, the size of the spac…
Crystals and coboundary categories
Andre Henriques, Joel Kamnitzer
Following an idea of A. Berenstein, we define a commutor for the category of crystals of a finite dimensional complex reductive Lie algebra. We show that this endows the category o…