550 citations
- University of Maryland, College ParkUS16 papers
- Joint Quantum InstituteUS9 papers
- Max Planck Institute for Extraterrestrial PhysicsDE9 papers
- Washington State UniversityUS8 papers
- Thüringer Landessternwarte TautenburgDE7 papers
- University of California, BerkeleyUS7 papers
- National Institute for AstrophysicsIT6 papers
- University of CopenhagenDK6 papers
- Instituto de Astrofísica de AndalucíaES5 papers
- Istituto di Astrofisica Spaziale e Fisica Cosmica di BolognaIT5 papers
- West Virginia UniversityUS5 papers
- Center for Astrophysics Harvard & SmithsonianUS4 papers
4 papers · 2 filters
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…
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…