31 citations · 128 across the 29 of their papers we have counts for
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math.NT2023
Averages over the Gaussian Primes: Goldbach's Conjecture and Improving Estimates
Christina Giannitsi, Ben Krause, Michael Lacey +2
We prove versions of Goldbach conjectures for Gaussian primes in arbitrary sectors. Fix an interval . There is an integer , so that every odd integer …
math.NT2010
Pre-images of quadratic dynamical systems
Benjamin Hutz, Trevor Hyde, Benjamin Krause
For a quadratic endomorphism of the affine line defined over the rationals we consider the problem of bounding the number of rational points that eventually land at a given constan…
math.NT2008★ 3 cited
Computing points of small height for cubic polynomials
Robert L. Benedetto, Benjamin Dickman, Sasha Joseph +3
Let f in Q[z] be a polynomial of degree d at least two. The associated canonical height \hat{h}_f is a certain real-valued function on Q that returns zero precisely at preperiodic…