On the fractional parts of Dedekind sums
2014 ◽
Vol 11
(01)
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pp. 29-38
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We show that each rational number r, 0 ≤ r < 1, occurs as the fractional part of a Dedekind sum S(m, n). Further, we determine the number of integers x, 1 ≤ x ≤ n, (x, n) = 1, such that S(m, n) and S(x, n) have the same fractional parts.
2014 ◽
Vol 10
(05)
◽
pp. 1241-1244
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2016 ◽
Vol 12
(08)
◽
pp. 2061-2072
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2020 ◽
Vol 16
(10)
◽
pp. 2129-2139
Keyword(s):
1996 ◽
Vol 60
(2)
◽
pp. 192-203
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Keyword(s):
2016 ◽
Vol 13
(06)
◽
pp. 1579-1583
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2015 ◽
Vol 11
(08)
◽
pp. 2325-2339
2017 ◽
Vol 13
(05)
◽
pp. 1253-1259
2013 ◽
Vol 09
(06)
◽
pp. 1423-1430
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2019 ◽
Vol 15
(07)
◽
pp. 1469-1472
Keyword(s):
2012 ◽
Vol 08
(08)
◽
pp. 1965-1970
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