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Results tagged with analytic-number-theory
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user 121253
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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answers
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On the growth of the Riemann zeta function on the critical line
Is it true that
$$|\zeta(\frac{1}{2}+it)|< \frac{1}{4}+t^2$$ for all $t\geq 0$, where $\zeta$ denotes the Riemann zeta function ?
It is known that the left hand-side is $O(t^{0.25})$, and on the th …
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