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Results tagged with nt.number-theory
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user 8096
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
14
votes
Why does the Gamma-function complete the Riemann Zeta function?
"Why of all functions does one have to put the Gamma-function there?"
$\zeta(s)$ has trivial zeroes at $-2, -4, -6$, etc.
$\zeta(1-s)$ thus has trivial zeroes at $s=3, 5, 7$, etc - a completely diffe …
- 141