31 citations · 128 across the 29 of their papers we have counts for
32 papers
Pointwise convergence of bilinear polynomial averages over the primes
Ben Krause, Hamed Mousavi, Terence Tao +1
We show that on a -finite measure preserving system , the non-conventional ergodic averages converge pointw…
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 …
On Maximal Functions With Curvature
Ben Krause
We exhibit a class of "relatively curved" , so that the pertaining multi-linear maximal function satisfies the sharp range of Hölder exponents, \…
Directional maximal function along the primes
Laura Cladek, Polona Durcik, Ben Krause +1
We study a two-dimensional discrete directional maximal operator along the set of the prime numbers. We show existence of a set of vectors, which are lattice points in a sufficient…
A Non-Linear Roth Theorem for Fractals of Sufficiently Large Dimension
Ben Krause
Suppose that , and that has sufficiently large dimension, . Then for any polynomial of degree with no constant term, th…
Discrete Fractional Integration Operators Along the Primes
Ben Krause
We prove that the discrete fractional integration operators along the primes \[ T^λ_{\mathbb{P}}f(x) := \sum_{p} \frac{f(x-p)}{p^λ} \cdot \log p \] are bounded $\ell^p\to \ell^{p'}…