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Results tagged with nt.number-theory
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user 9564
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
The Riemann zeta function and Haar measure on the profinite integers
"This is also the unique nontrivial distribution on the positive integers that makes the events "p divides X" and "q divides X" independent whenever p,q are distinct primes."
Kevin, consider $X = \p …
- 1,666
2
votes
What results would follow from or imply "randomness" of the primes?
Billingsley wrote a nice article on the relationship between numbers, random walks and Brownian motion.
10
votes
Is there any sense in which Dirichlet density is "optimal?"
Tenenbaum's book on analytic and probabilistic number theory has something to say on this subject. He mentions that it is "easy" to construct a set without Dirichlet density, but unfortunately he does …
- 1,666