Lasse Grimmelt

activity

20182026

most citedVinogradov's Theorem with Fouvry-Iwaniec Primes

6 citations · 7 across the 12 of their papers we have counts for

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Showing 2025Show all

4 papers · 1 filter

math.NT2025

The divisor function along arithmetic progressions and binary cubic polynomials

Lasse Grimmelt, Jori Merikoski

We prove a new equidistribution estimate for the divisor function in arithmetic progression to moduli that have two small factors. We give two applications. First, we show an asymp…

math.NT2025

The Exceptional Set in Goldbach's Problem with two Chen Primes

Lasse Grimmelt, Joni Teräväinen

We show that all natural numbers $n \equiv 4 (mod 6)$ are the sum of two Chen primes (primes $p$ such that $p + 2$ has at most two prime factors), apart from a power-saving set of exce…

math.NT2025

On the greatest prime factor and uniform equidistribution of quadratic polynomials

Lasse Grimmelt, Jori Merikoski

We show that the greatest prime factor of $n^{2} + h$ is at least $n^{1.312}$ infinitely often. This gives an unconditional proof for the range previously known under the Selberg eigen…

math.NT2025

Weighted averages of $SL_{2} (R)$ automorphic kernel, Part I: non-oscillatory functions

Lasse Grimmelt, Jori Merikoski

We prove a theorem that evaluates weighted averages of sums parametrised by congruence subgroups of $SL_{2} (Z)$ . In the proof, spectral methods are applied di…

The divisor function along arithmetic progressions and binary cubic polynomials

The Exceptional Set in Goldbach's Problem with two Chen Primes

On the greatest prime factor and uniform equidistribution of quadratic polynomials

Weighted averages of SL2​(R) automorphic kernel, Part I: non-oscillatory functions

Weighted averages of $SL_{2} (R)$ automorphic kernel, Part I: non-oscillatory functions