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research
A modest improvement on the function
S
(
T
)
S(T)
S
(
T
)
Authors
Timothy Trudgian
Publication date
1 January 2010
Publisher
View
on
arXiv
Abstract
This paper contains a small improvement to the explicit bounds on the growth of the function
S
(
T
)
S(T)
S
(
T
)
. It is shown how more substantial improvements are possible if one has better explicit bounds on the growth of
∣
ζ
(
1
2
+
i
t
)
∣
|\zeta(\frac{1}{2}+it)|
∣
ζ
(
2
1
​
+
i
t
)
∣
.Comment: 10 page
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Last time updated on 30/10/2017