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Results tagged with analytic-number-theory
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user 3384
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.
14
votes
Deducing BSD from Gross-Zagier and Kolyvagin
No papers because it's not proven for elliptic curves of rank zero or one.
The work of Kolyvagin, together with the work of Gross and Zagier almost proves that if $E_/{\mathbf{Q}}$ is an elliptic cur …
- 3,625
10
votes
Accepted
Numbers divisible only by primes of the form 4k+1
Yes, $A(X) = cX/\sqrt{\log(X)} + O(X/\log^{3/2}(X))$ for a positive real number $c$ which I think is 1 (edit: This remark on the constant was just a vague recollection which is wrongly remembered as i …
- 3,625