2 papers
math.NT2026
Values of ternary quadratic forms at integers and the Berry-Tabor conjecture for 3-tori
Wooyeon Kim, Jens Marklof, Matthew Welsh
Berry and Tabor conjectured in 1977 that spectra of generic integrable quantum systems have the same local statistics as a Poisson point process. We verify their conjecture in the…
math.NT2021
Bounds for theta sums in higher rank I
Jens Marklof, Matthew Welsh
Theta sums are finite exponential sums with a quadratic form in the oscillatory phase. This paper establishes new upper bounds for theta sums in the case of smooth and box truncati…