2 papers
math.NT2023
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…
math.CO2014
Hadamard matrices modulo p and small modular Hadamard matrices
Vivian Kuperberg
We use modular symmetric designs to study the existence of Hadamard matrices modulo certain primes. We solve the -modular and -modular versions of the Hadamard conjecture fo…