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On the blending of real/complex analysis with number theory. The study involves distribution of prime numbers and other problems and helps giving asymptotic estimates to these.
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 …
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 …