Publication:
Distribution of integers with prescribed arithmetic structure and applications

dc.contributor.advisor Shparlinski, Igor E. en_US
dc.contributor.advisor Zhao, Liangyi en_US
dc.contributor.author Yau, Kam Hung en_US
dc.date.accessioned 2022-03-23T12:51:22Z
dc.date.available 2022-03-23T12:51:22Z
dc.date.issued 2020 en_US
dc.description.abstract This thesis contains results about the distribution of integers with prescribed arithmetic structure and an application. These include a counting problem in Diophantine approximation, an asymptotic formula for the number of solutions to congruence's with certain arithmetic conditions, lower bounds on the number of smooth square-free integers in arithmetic progression, an estimate on the smallest square-full number in almost all residue classes modulo a prime, a relaxation of Goldbach's conjecture from the point of view of Ramare's local model, and lastly a refinement of the classical Burgess bound. en_US
dc.identifier.uri http://hdl.handle.net/1959.4/68054
dc.language English
dc.language.iso EN en_US
dc.publisher UNSW, Sydney en_US
dc.rights CC BY-NC-ND 3.0 en_US
dc.rights.uri https://creativecommons.org/licenses/by-nc-nd/3.0/au/ en_US
dc.subject.other Sieve methods en_US
dc.subject.other Analytic number theory en_US
dc.subject.other Character sums en_US
dc.subject.other Abstract circle method en_US
dc.title Distribution of integers with prescribed arithmetic structure and applications en_US
dc.type Thesis en_US
dcterms.accessRights open access
dcterms.rightsHolder Yau, Kam Hung
dspace.entity.type Publication en_US
unsw.accessRights.uri https://purl.org/coar/access_right/c_abf2
unsw.identifier.doi https://doi.org/10.26190/unsworks/21917
unsw.relation.faculty Science
unsw.relation.originalPublicationAffiliation Yau, Kam Hung, Mathematics & Statistics, Faculty of Science, UNSW en_US
unsw.relation.originalPublicationAffiliation Shparlinski, Igor E., Mathematics & Statistics, Faculty of Science, UNSW en_US
unsw.relation.originalPublicationAffiliation Zhao, Liangyi, Mathematics & Statistics, Faculty of Science, UNSW en_US
unsw.relation.school School of Mathematics & Statistics *
unsw.thesis.degreetype PhD Doctorate en_US
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