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Results tagged with nt.number-theory
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user 10901
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
4
votes
Non-vanishing of zeta(s), Re(s)=1, without complex analysis?
You might want to look at the paper "Le théorème des nombres premiers et la transformation de Fourier" by Jean-Benoît Bost, available at https://www.cmls.polytechnique.fr/xups/xups02-01.pdf
It gives a …
- 4,713
5
votes
Prime Number Theorem w/o Complex Analysis
A nice exposition of an Erdos/Selberg-type elementary proof is given by Levinson in Amer. Math. Monthly 76 (1969) 225–245.
The proof by Daboussi as written up by Tenenbaum and Mendes-France was alr …
- 615