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Equidistribution and related ergodic methods in number theory

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dc.contributor.advisor Munshi, Ritabrata en_US
dc.contributor.author MULLATH MOHAMMED SHERIEF, MOHAMMED ZUHAIR en_US
dc.date.accessioned 2012-05-04T11:36:36Z
dc.date.available 2012-05-04T11:36:36Z
dc.date.issued 2012-05 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/188
dc.description.abstract The thesis surveys some interesting equidistribution problems and ergodic methods pertinent to number theory. In chapter 1, the Weyl criterion is introduced and we study the relationship between some equidistribution problems and Riemann hypothesis. In chapter 2, we explore the Linnik problem- a classical problem concerning the spacial distribution of integral representations of integers by quadratic forms. In chapter 3, we study the dynamics of unimodular lattices under the action of the diagonal torus. The chapter ends with some applications of these ergodic methods. en_US
dc.language.iso en en_US
dc.subject 2012
dc.subject Equidistribution en_US
dc.subject Weyl criterion en_US
dc.subject Linnik's problem en_US
dc.subject Lattices en_US
dc.subject Littlewood conjecture en_US
dc.subject Minkowski's theorem en_US
dc.title Equidistribution and related ergodic methods in number theory en_US
dc.type Thesis en_US
dc.type.degree BS-MS en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20071031 en_US


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  • MS THESES [1705]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the BS-MS Dual Degree Programme/MSc. Programme/MS-Exit Programme

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