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Results tagged with analytic-number-theory
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user 35626
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.
4
votes
distribution of coprime integers
In a similar question Bound the error in estimating a relative totient function , Alan Haynes notes in an answer that Vijayraghavan in 1951 had published a result showing many $n$ for which (for certa …
- 2,158
2
votes
The shortest interval for which the prime number theorem holds
The short answer is no. It is likely to be sufficient, although right now the best known is
actually that pi(x + x^{0.525}) > pi(x) for all large x (and likely all x > 117). If it were necessary,
thi …
- 2,158
2
votes
Distribution of composite numbers
The result is wrong. The major problem is that there is little control over the
common elements of the sets A_i. I suggest coming up with simpler sets of
conditions and checking relations between th …
- 2,158