Publication:
Distribution of integers with prescribed arithmetic structure and applications
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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