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Results tagged with nt.number-theory
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user 485924
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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vote
On the equation $\zeta(s) = F(s)+F(s+1)$
This is not an answer but a quick remark about a possible direct proof of the functional equation for $F$.
First recall the identity
$$\int_0^{\infty} x^{({s-3})/2}\exp(-n^2\pi x)\,dx=\pi^{-(s-1)/2}\ …
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