The shifted convolution of generalized divisor functions

von Berke Topacogullari
Dissertation
Datum der mündl. Prüfung:2016-08-22
Erschienen:2017-04-18
Betreuer:Prof. Dr. Valentin Blomer
Gutachter:Prof. Dr. Valentin Blomer
Gutachter:Prof. Dr. Jörg Brüdern
Zum Verlinken/Zitieren: http://dx.doi.org/10.53846/goediss-6257

 

 

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Name:Dissertation - Berke Topacogullari.pdf
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Zusammenfassung

Englisch

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.
Keywords: divisor functions; shifted convolution sums; additive divisor problems
 
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