On the Dirichlet divisor problem in short intervals

We present several new results involving Δ ( x + U )− Δ ( x ), where U = o ( x ) and is the error term in the classical Dirichlet divisor problem.

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Bibliographische Detailangaben
Veröffentlicht in:	The Ramanujan journal 2014-04, Vol.33 (3), p.447-465
Hauptverfasser:	Ivić, Aleksandar, Zhai, Wenguang
Format:	Artikel
Sprache:	eng
Schlagworte:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	We present several new results involving Δ ( x + U )− Δ ( x ), where U = o ( x ) and is the error term in the classical Dirichlet divisor problem.
ISSN:	1382-4090 1572-9303
DOI:	10.1007/s11139-013-9470-6