Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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

2016/21/B/ST1/00307

Keywords:

The Littlewood problem Sidon sets

Descriptors:

  • ST1_3: Number theory
  • ST1_14: Discrete mathematics and combinatorics

Panel:

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

Host institution :

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

woj. wielkopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Tomasz Schoen 

Number of co-investigators in the project: 2

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 166 700 PLN

Project start date (Y-m-d): 2017-02-07

Project end date (Y-m-d): 2020-02-06

Project duration:: 36 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

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

Equipment purchased [PL]

  1. ultrabook (5 500 PLN)

Information in the final report

  • Publication in academic press/journals (4)
  1. Tight bounds on additive Ramsey-type numbers
    Authors:
    Karol Cwalina, Tomasz Schoen
    Academic press:
    Journal of the London Mathematical Society (rok: 2017, tom: 96, strony: 601-620), Wydawca: the London Mathematical Society
    Status:
    Published
    DOI:
    10.1112/jlms.12081 - link to the publication
  2. On the Littlewood conjecture in Z/pZ
    Authors:
    Tomasz Schoen
    Academic press:
    Moscov Journal of Combinatorics and Number Theory (rok: 2017, tom: 7, strony: 252-258), Wydawca: Moscow Institute of Physics and Technology
    Status:
    Published
    DOI:
    brak - link to the publication
  3. An upper bound for weak Bk-sets
    Authors:
    Tomasz Schoen, Ilya Shkredov
    Academic press:
    SIAM Journal of Discrete Mathematics (rok: 2019, tom: 33, strony: 837-844), Wydawca: Society for Industrial and Applied Mathematics
    Status:
    Accepted for publication
    DOI:
    10.1137/18M1189439 - link to the publication
  4. 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 (rok: 2017, tom: 7, strony: 162-181), Wydawca: Moscow Institute of Physics and Technology
    Status:
    Published
    DOI:
    brak - link to the publication

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