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math.NT2015
On integers for which has a divisor of every degree
Carl Pomerance, Lola Thompson, Andreas Weingartner
A positive integer is called -practical if the polynomial has a divisor in of every degree up to . In this paper, we show that the count of -pr…
math.GT2015
Systoles of Arithmetic Hyperbolic Surfaces and 3-manifolds
Benjamin Linowitz, D. B. McReynolds, Paul Pollack +1
Our main result is that for all sufficiently large , the set of commensurability classes of arithmetic hyperbolic 2- or 3-orbifolds with fixed invariant trace field and…