On Riemann's Theorem About Conditionally Convergent Series

Research output: Contribution to journal › Article › peer-review

Abstract

We extend Riemann's rearrangement theorem on conditionally convergentseries of real numbers to multiple instead of simple sums.

Original language	American English
Pages (from-to)	85-93
Number of pages	9
Journal	New Zealand Journal of Mathematics
Volume	43
State	Published - 2013

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title = "On Riemann's Theorem About Conditionally Convergent Series",

abstract = "We extend Riemann's rearrangement theorem on conditionally convergentseries of real numbers to multiple instead of simple sums.",

author = "J Grahl and S. Nevo",

year = "2013",

language = "American English",

volume = "43",

pages = "85--93",

journal = "New Zealand Journal of Mathematics",

issn = "1179-4984",

publisher = "New Zealand Mathematical Society and Department of Mathematics, University of Auckland",

}

TY - JOUR

T1 - On Riemann's Theorem About Conditionally Convergent Series

AU - Grahl, J

AU - Nevo, S.

PY - 2013

Y1 - 2013

N2 - We extend Riemann's rearrangement theorem on conditionally convergentseries of real numbers to multiple instead of simple sums.

AB - We extend Riemann's rearrangement theorem on conditionally convergentseries of real numbers to multiple instead of simple sums.

UR - http://nzjm.math.auckland.ac.nz/images/6/6e/On_Riemann%27s_Theorem_About_Conditionally_Convergent_Series.pdf

M3 - Article

SN - 1179-4984

VL - 43

SP - 85

EP - 93

JO - New Zealand Journal of Mathematics

JF - New Zealand Journal of Mathematics

ER -