5 papers
Lower bounds on weighted moments of primes in short intervals in number fields
Régis de la Bretèche, Vivian Kuperberg
We consider an analog of a conjecture of Montgomery and Soundararajan on the moments of primes in short intervals in number fields; this analog was discussed and heuristically deri…
Sums of divisor functions and von Mangoldt convolutions in leading to symplectic distributions
Vivian Kuperberg, Matilde Lalín
In [arXiv:1504.07804], Keating, Rodgers, Roditty-Gershon and Rudnick established relationships of the mean-square of sums of the divisor function over short intervals and…
Sums of singular series and primes in short intervals in algebraic number fields
Vivian Kuperberg, Brad Rodgers, Edva Roditty-Gershon
Gross and Smith have put forward generalizations of Hardy - Littlewood twin prime conjectures for algebraic number fields. We estimate the behavior of sums of a singular series tha…
Soficity and variations on Higman's group
Martin Kassabov, Vivian Kuperberg, Timothy Riley
A group is sofic when every finite subset can be well approximated in a finite symmetric group. No example of a non-sofic group is known. Higman's group, which is a circular amalga…
Chip-firing on trees of loops
Sameer Kailasa, Vivian Kuperberg, Nicholas Wawrykow
Cools, Draisma, Payne, and Robeva proved that generic metric graphs that are "paths of loops" are Brill-Noether general. We show that Brill-Noether generality does not hold for "tr…