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Results tagged with nt.number-theory
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user 121253
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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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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