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The second moment of a certain pair correlation function for Sato-Tate sequences

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dc.contributor.advisor SINHA, KANEENIKA
dc.contributor.author MAHAJAN, JEWEL
dc.date.accessioned 2023-12-20T04:31:11Z
dc.date.available 2023-12-20T04:31:11Z
dc.date.issued 2023-11
dc.identifier.citation 203 en_US
dc.identifier.uri http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8366
dc.description.abstract In [BS19], Balasubramanyam and Sinha derived the first moment of the pair correlation function for Hecke angles lying in small subintervals of [0, 1], as one averages over large families of Hecke newforms of weight k with respect to Γ0(N). The goal of this thesis is to study the second moment of this pair correlation function. We also record estimates for lower order error terms in the computation of the second moment and show that the variance goes to 0 under the same growth conditions on weights and levels for the families of Hecke newforms as required for the convergence of the first moment. en_US
dc.description.sponsorship NBHM en_US
dc.language.iso en en_US
dc.subject Research Subject Categories::MATHEMATICS en_US
dc.title The second moment of a certain pair correlation function for Sato-Tate sequences en_US
dc.type Thesis en_US
dc.description.embargo No Embargo en_US
dc.type.degree Ph.D en_US
dc.contributor.department Dept. of Mathematics en_US
dc.contributor.registration 20183614 en_US


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  • PhD THESES [592]
    Thesis submitted to IISER Pune in partial fulfilment of the requirements for the degree of Doctor of Philosophy

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