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Results tagged with analytic-number-theory
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user 169594
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.
2
votes
0
answers
102
views
Counting function for the number of zeros of the real part of $\zeta(s)$
The counting function for the number of complex zeros of the Riemann $\zeta$ function up to height $T$ is well known. I am looking for a reference that gives essentially analogous counting functions …
- 171
3
votes
0
answers
219
views
Reference request Re Vinogradov's ternary Goldbach proof
I believe that I.M. Vinogradov's proof of the ternary Goldbach conjecture used the observation that the number of ways $n$ can be written as a sum of three primes equals
$$
\int_0^1 \sum_{p , q , r \l …
- 4,713
2
votes
What's the deal with Möbius pseudorandomness?
Here are a few (maybe helpful?) tidbits. In papers of 1931 and 1964 in the Comptes Rendus, Denjoy surmised that RH is true if the Mobius function was random for then your condition at (2) would be met …
- 171