Université de Lille

most citedOn two ways to use determinantal point processes for Monte Carlo integration

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math.NT2026★ 3 cited

Improving on the Brun-Titchmarsh Theorem

Olvier RamarÃ©, Jan Christoph Schlage-Puchta

We prove that the number of primes in an interval of length $N$ is at most $2 N / (lo g N + 3.53)$ when $N$ is large enough. This is obtained through a sieving process which can be seen…

math.NT2026★ 1 cited

An additive application of the resonance method

Athanasios Sourmelidis

We improve upon an Omega result due to Soundararajan with respect to general trigonometric polynomials having positive Fourier coefficients. Instead of Dirichlet's approximation th…

math.NT2026

Multiple polylogarithms and the Steinberg module

Steven Charlton, Danylo Radchenko, Daniil Rudenko

We establish a connection between multiple polylogarithms on a torus and the Steinberg module of $Q$ , and show that multiple polylogarithms of depth $d$ and weight $n$ can…