18 citations · 31 across the 12 of their papers we have counts for
18 papers · 1 filter
The sixth moment of Dirichlet L-functions at the central point
Vorrapan Chandee, Xiannan Li, Kaisa Matomäki +1
In 1970, Huxley obtained a sharp upper bound for the sixth moment of Dirichlet -functions at the central point, averaged over primitive characters modulo and all moduli…
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…
Expansion, divisibility and parity
Harald Andrés Helfgott, Maksym Radziwiłł
Let be a set of primes, where . Let . Let be such that $\log H \leq (\…
Multiplicative functions in short intervals II
Kaisa Matomäki, Maksym Radziwiłł
We determine the behavior of multiplicative functions vanishing at a positive proportion of prime numbers in almost all short intervals. Furthermore we quantify "almost all" with u…
Signs of Fourier coefficients of half-integral weight modular forms
Stephen Lester, Maksym Radziwiłł
Let be a Hecke cusp form of half-integral weight, level and belonging to Kohnen's plus subspace. Let denote the th Fourier coefficient of , normalized so that…
Sharp upper bounds for fractional moments of the Riemann zeta function
Winston Heap, Maksym Radziwiłł, Kannan Soundararajan
We establish sharp upper bounds for the th moment of the Riemann zeta function on the critical line, for all real . This improves on earlier work of…