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Results tagged with reference-request
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user 545638
This tag is used if a reference is needed in a paper or textbook on a specific result.
-3
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1
answer
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Bounding a number-theoretic integral
Find a good upper bound on $$\int_1^T\frac{\zeta'(s)}{\zeta(s)\zeta(1-s)}X^sdt,$$ where $s=c+it$ for a constant $c>1$ and $X>0$ is a parameter. If needed, we can assume RH.
My attempt here is to use …
- 107
0
votes
1
answer
73
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Nonstationary phase method for oscillatory integral
I want to approximate an integral of the form $$\int_a^bf(t)e^{ig(t)}dt,$$where $f(t)$ is smooth, $g(t)$ is real-valued and smooth.
The stationary phase method says that if $t_0\in [a,b]$ is such tha …
- 107
0
votes
0
answers
9
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Approximate functional equation for $\zeta^{(k)}(s)^2$
Does there exist an approximate functional equation for the $k^{\textrm{th}}$ derivative of the Riemann zeta function, squared? That is, $\zeta^{(k)}(s)^2$.
From p.4 of (https://arxiv.org/pdf/math/0 …
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