1 citations · 2 across the 4 of their papers we have counts for
4 papers
Sums of Weighted Lattice Points of Polytopes
Jesús A. De Loera, Laura Escobar, Nathan Kaplan +1
We study the problem of counting lattice points of a polytope that are weighted by an Ehrhart quasi-polynomial of a family of parametric polytopes. As applications one can compute…
The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, II
John Cullinan, Shanna Dobson, Linda Frey +5
Let and be 2-isogenous elliptic curves over $\Q$. Following \cite{ck}, we call a good prime \emph{anomalous} if $E(\F_p) \simeq E'(\F_p)$ but $E(\F_{p^2}) \not \simeq…
The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I
John Cullinan, Nathan Kaplan
Let be a prime number and let and be -isogenous elliptic curves defined over a finite field of characteristic . Suppose the groups and…
Distribution of orders in number fields
Nathan Kaplan, Jake Marcinek, Ramin Takloo-Bighash
In this paper we study the distribution of orders of bounded discriminants in number fields. We give an asymptotic formula for the number of orders contained in the ring of integer…