134 citations
- University of Massachusetts AmherstUS13 papers
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- Argonne National LaboratoryUS2 papers
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4 papers · 1 filter
On Hilbert modular threefolds of discriminant 49
Lev A. Borisov, Paul E. Gunnells
Let K be the totally real cubic field of discriminant 49, let O be its ring of integers, and let p be the prime over 7. Let Gamma (p)\subset Gamma = SL_2(O) be the principal congru…
Periods of rational maps modulo primes
Robert L. Benedetto, Dragos Ghioca, Benjamin Hutz +3
Let be a number field, let be a rational map of degree at least 2, and let . We show that if is not in the forward orbit of , then there is a posi…
Optimal ambiguity functions and Weil's exponential sum bound
John J. Benedetto, Robert L. Benedetto, Joseph T. Woodworth
Complex-valued periodic sequences, u, constructed by Goran Bjorck, are analyzed with regard to the behavior of their discrete periodic narrow-band ambiguity functions A_p(u). The B…
Guiding-center dynamics of vortex dipoles in Bose-Einstein condensates
S. Middelkamp, P. J. Torres, P. G. Kevrekidis +5
A quantized vortex dipole is the simplest vortex molecule, comprising two counter-circulating vortex lines in a superfluid. Although vortex dipoles are endemic in two-dimensional s…