5 papers
Quantitative bounds for sets lacking polynomial progressions with shifted prime difference
Ben Krause, Hamed Mousavi, Terence Tao +1
We prove quantitative polynomial Szemerédi-type theorems involving polynomial progressions with shift parameter restricted to the set of shifted primes . The types of…
The Wiener Wintner Theorem Along the Primes
Jan Fornal, Anastasios Fragkos, Ben Krause +3
We prove the following Wiener-Wintner Theorem along the sequence of prime times, the first extension of the Wiener-Wintner Theorem to arithmetic sequences: for every probability sp…
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 poi…
An Approach To Endpoint Problems in Oscillatory Singular Integrals
Alex Iosevich, Ben Krause, Hamed Mousavi
In this note we provide a quick proof that maximal truncations of oscillatory singular integrals are bounded from to . The methods we us…
A Density Theorem for Higher Order Sums of Prime Numbers
Michael T. Lacey, Hamed Mousavi, Yaghoub Rahimi +1
Let be a subset of the primes of lower density strictly larger than . Then, every sufficiently large even integer is a sum of four primes from the set . We establis…