Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiquesVol. CXXIX, No. 29, pp. 79–83 (2004)
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Bulletin, Classe des Sciences Mathématiques et Naturelles, Sciences mathématiques naturelles / sciences mathematiques Vol. CXXIX, No. 29, pp. 79–83 (2004) |
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The circle and divisor problemA. IvicKatedra za matematiku RGF-a, Univerzitet u Beogradu, Djusina 7, 11000 Beograd, Serbia and Montenegro, aivic@rgf.bg.ac.yu, aivic@matf.bg.ac.yuAbstract: New proofs for the classical bounds $$ P(x) \ll x^{1/3}, \quad \Delta(x) \ll x^{1/3}\log x $$ are given. Here $P(x)$ denotes the error term in the classical circle, and $\Delta(x)$ in the classical divisor problem. Keywords: circle problem; divisor problem; Voronoi summation formula; Selberg class Classification (MSC2000): 11N37 Full text of the article: (for faster download, first choose a mirror)
Electronic fulltext finalized on: 6 Oct 2003. This page was last modified: 20 Jun 2011.
© 2003 Mathematical Institute of the Serbian Academy of Science and Arts
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