The shifted convolution of generalized divisor functions

dc.contributor.advisor	Blomer, Valentin Prof. Dr.
dc.contributor.author	Topacogullari, Berke
dc.date.accessioned	2017-04-18T09:50:46Z
dc.date.available	2017-04-18T09:50:46Z
dc.date.issued	2017-04-18
dc.identifier.uri	http://hdl.handle.net/11858/00-1735-0000-0023-3E19-A
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6257
dc.identifier.uri	http://dx.doi.org/10.53846/goediss-6257
dc.language.iso	eng	de
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subject.ddc	510	de
dc.title	The shifted convolution of generalized divisor functions	de
dc.type	doctoralThesis	de
dc.contributor.referee	Blomer, Valentin Prof. Dr.
dc.date.examination	2016-08-22
dc.description.abstracteng	We prove an asymptotic formula for the shifted convolution of the divisor functions \(d_k(n)\) and \(d(n)\) with \(k \geq 3\), which is uniform in the shift parameter and which has a power saving error term. Along the way, we also consider a few other variants of the shifted convolution problem.	de
dc.contributor.coReferee	Brüdern, Jörg Prof. Dr.
dc.subject.eng	divisor functions	de
dc.subject.eng	shifted convolution sums	de
dc.subject.eng	additive divisor problems	de
dc.identifier.urn	urn:nbn:de:gbv:7-11858/00-1735-0000-0023-3E19-A-7
dc.affiliation.institute	Fakultät für Mathematik und Informatik	de
dc.subject.gokfull	Mathematics (PPN61756535X)	de
dc.identifier.ppn	884563723

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