On ill-distributed B3 and B4 sets
André Hisatsuga, Rafael Miyazaki, Cosmin Pohoata
Abstract
We show that, for k∈\3,4\, a Bk-set A⊂eq[N] has size o(N1/k) if it omits a fixed positive proportion of the residue classes modulo every prime in a fixed family whose reciprocals have divergent sum.
Create a lesson
Related papers
Rational points on loxodromic K3 surfaces and complex dynamics
Damián Gvirtz-Chen, Zhizhong Huang, Zhuchao Ji et al.
Ramanujan-type congruences for the smallest parts function
Larry Rolen
Some instances of modularity for residually reducible representations in the mixed case
Luis V. Dieulefait
Classification of torsion of elliptic curves over sextic fields
Filip Najman
A generalization of the Dirichlet approximation theorem for affine actions on the real line
Mohammad Javaheri
Cyclicity of Drinfeld modules modulo primes in arithmetic progressions
Prassanna Nand Jha, Arnab Saha, Akshaa Vatwani