The Littlewood problem, weak Sidon sets and the degree of regularity of equation

The Littlewood problem, weak Sidon sets and the degree of regularity of equations

2016/21/B/ST1/00307

ST1 – Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Uniwersytet im. Adama Mickiewicza w Poznaniu, Wydział Matematyki i Informatyki

Voivodeship: wielkopolskie

Number of co-investigators in the project: 2

OPUS 11 – announced on 2016-03-15

Note — project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

The Degree of Regularity of the Equation ∑ x_i= ∑ y_i+b

Authors:
Tomasz Schoen, Katarzyna Taczała

Academic press:
Moscov Journal of Combinatorics and Number Theory (year: 2017, volume: 7, pages: 162-181), Publisher: Moscow Institute of Physics and Technology

Status:
Published
On the Littlewood conjecture in Z/pZ

Authors:
Tomasz Schoen

Academic press:
Moscov Journal of Combinatorics and Number Theory (year: 2017, volume: 7, pages: 252-258), Publisher: Moscow Institute of Physics and Technology

Status:
Published
Tight bounds on additive Ramsey-type numbers

Authors:
Karol Cwalina, Tomasz Schoen

Academic press:
Journal of the London Mathematical Society (year: 2017, volume: 96, pages: 601-620), Publisher: the London Mathematical Society

Status:
Published

DOI:
10.1112/jlms.12081 – link to the publication
An upper bound for weak Bk-sets

Authors:
Tomasz Schoen, Ilya Shkredov

Status:
Accepted for publication