823 citations
- Centre National de la Recherche ScientifiqueFR36 papers
- Max Planck Institute for Extraterrestrial PhysicsDE36 papers
- University of Maryland, College ParkUS35 papers
- Center for Astrophysics Harvard & SmithsonianUS34 papers
- Goddard Space Flight CenterUS29 papers
- National Institute for AstrophysicsIT29 papers
- Osservatorio di Astrofisica e Scienza dello Spazio26 papers
- University of California, BerkeleyUS26 papers
- California Institute of TechnologyUS25 papers
- Pennsylvania State UniversityUS22 papers
- Agenzia Spaziale ItalianaIT21 papers
- Astronomical Observatory of RomeIT21 papers
16 papers · 1 filter
Toric partial orders
Mike Develin, Matthew Macauley, Victor Reiner
We define toric partial orders, corresponding to regions of graphic toric hyperplane arrangements, just as ordinary partial orders correspond to regions of graphic hyperplane arran…
Average Frobenius distribution for elliptic curves defined over finite Galois extensions of the rationals
Kevin James, Ethan Smith
Let be a fixed number field, assumed to be Galois over . Let and be fixed integers with positive. Given an elliptic curve , defined over , we consi…
A generalization of the Barban-Davenport-Halberstam Theorem to number fields
Ethan Smith
For a fixed number field , we consider the mean square error in estimating the number of primes with norm congruent to modulo by the Chebotarëv Density Theorem when aver…
Finite field elements of high order arising from modular curves
Jessica F. Burkhart, Neil J. Calkin, Shuhong Gao +6
In this paper, we recursively construct explicit elements of provably high order in finite fields. We do this using the recursive formulas developed by Elkies to describe explicit…
A Lipschitz stable reconstruction formula for the inverse problem for the wave equation
Shitao Liu, Lauri Oksanen
We consider the problem to reconstruct a wave speed in a domain from acoustic boundary measurements modelled by the hyperbolic Dirichlet-to-Neu…
Elliptic curves, modular forms, and sums of Hurwitz class numbers
Brittany Brown, Neil J. Calkin, Timothy B. Flowers +3
Let H(N) denote the Hurwitz class number. It is known that if is a prime, then {equation*} \sum_{|r|<2\sqrt p}H(4p-r^2) = 2p. {equation*} In this paper, we investigate the beha…