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Analytical and Combinatorial Methods in Number Theory and Geometry

Project information

Grant agreement ID: INTAS2003-51-5070

  • Start date

    1 August 2004

  • End date

    31 July 2007

Funded under:

IC-INTAS

Coordinated by:

University of Wales

United Kingdom

Objective

When a continuous problem is made discrete, or when a discrete problem is studied deeply, unexpected structure may appear, often of a number-theoretical nature, involving congruences, commmon factors and divisiblility. Examples are the use of congruences in covering theory, the `major arcs' in the Hardy-Littlewood method for Waring's problem, the importance of tangents with rational gradients in the Gauss circle problem, and the connection between units of number fields and the continued fraction algorithm. A structure observed in one problem may be relevant in another, or even discovered and studied independently in several contexts. The teams have different but overlapping interests, and different points of view. Putting these points of view together and making connections is expected to lead to new results and even new directions of research.

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Coordinator

University of Wales

Address

Newport Road 30-36
Cf24 0de Cardiff

United Kingdom

Participants (7)

Far Eastern Branch of the RAS Institute for Applied Mathematics (Khabarovsk Branch)

Russia

Minsk University

Belarus

Moscow State University

Russia

Moscow Steklov Institute of the RAS

Russia

University of Crete

Greece

Università Roma III

Italy

Vilnius University

Lithuania

Project information

Grant agreement ID: INTAS2003-51-5070

  • Start date

    1 August 2004

  • End date

    31 July 2007

Funded under:

IC-INTAS

Coordinated by:

University of Wales

United Kingdom