2 papers
math.NT2024
Twisted correlations of the divisor function via discrete averages of Poincaré series
Lasse Grimmelt, Jori Merikoski
We prove a theorem that allows one to count solutions to determinant equations twisted by a periodic weight with high uniformity in the modulus. It is obtained by using spectral me…
math.NT2022
The Exceptional Set in Goldbach's Problem with Almost Twin Primes
Lasse Grimmelt, Joni Teräväinen
We consider the exceptional set in the binary Goldbach problem for sums of two almost twin primes. Our main result is a power-saving bound for the exceptional set in the problem of…