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Mathematics > Number Theory

arXiv:0809.1854 (math)
[Submitted on 10 Sep 2008 (v1), last revised 13 Sep 2008 (this version, v2)]

Title:Divisor Problem and an Analogue of Euler's Summation Formula

Authors:Vivek V.Rane
View a PDF of the paper titled Divisor Problem and an Analogue of Euler's Summation Formula, by Vivek V.Rane
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Abstract: By simple elementary method,we obtain with ease,a highly simple expression for the remainder term of the divisor problem and use it to obtain an Euler-Maclaurin analogue of summation involving divisor this http URL also obtain a relation connecting the remainder term of the divisor problem and the remainders of approximate functional equations for Riemann zeta function and its square,for positive values of arguments.
Comments: 7 Pages
Subjects: Number Theory (math.NT)
MSC classes: 65B15
Cite as: arXiv:0809.1854 [math.NT]
  (or arXiv:0809.1854v2 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.0809.1854
arXiv-issued DOI via DataCite

Submission history

From: Vivek Rane V [view email]
[v1] Wed, 10 Sep 2008 18:30:49 UTC (125 KB)
[v2] Sat, 13 Sep 2008 17:29:00 UTC (127 KB)
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