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Results tagged with analytic-number-theory
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user 138059
On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
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An integral involving $1/\zeta(s)$ and the zeros of $\zeta(s)$
In my thesis, i stumbled across the following problem:
Define $$F(\sigma, T)=\frac{1}{T}\int_{-T}^{T} \frac{1}{|\zeta(\sigma+it)|^2} \mathrm{d}T$$ where $\zeta$ denotes the Riemann zeta function.
Is …
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