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math.NT2021
Small gaps in the spectrum of tori: asymptotic formulae
Valentin Blomer, Maksym Radziwiłł
We establish an asymptotic formula, uniformly down to the Planck scale, for the number of small gaps between the first N eigenvalues of the Laplacian on almost all flat tori and al…
math.NT2021★ 3 cited
Expansion, divisibility and parity
Harald Andrés Helfgott, Maksym Radziwiłł
Let be a set of primes, where . Let . Let be such that $\log H \leq (\…