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math.NT2009
Function Fields with Class Number Indivisible by a Prime
Michael Daub, Jaclyn Lang, Mona Merling +3
It is known that infinitely many number fields and function fields of any degree have class number divisible by a given integer . However, significantly less is known about…
math.NT2008
A Thermodynamic Classification of Real Numbers
Thomas Garrity
A new classification scheme for real numbers is given, motivated by ideas from statistical mechanics in general and work of Knauf and of Fiala and Kleban in particular. Critical fo…
math.NT2002
A Two-Dimensional Minkowski ?(x) Function
Olga R. Beaver, Thomas Garrity
A one-to-one continuous function from a triangle to itself is defined that has both interesting number theoretic and analytic properties. This function is shown to be a natural gen…