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Results tagged with nt.number-theory
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user 140856
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
0
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0
answers
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Prime counting function estimate sieve of Eratosthenes-Legendre
I'm trying to arrive at estimate 1.17 (page 21) of Koukoulopoulos lecture notes [https://dms.umontreal.ca/~koukoulo/documents/notes/sievemethods.pdf]
$$\#\{n \leq x : p|n \Rightarrow p > \sqrt{x}\} = …
4
votes
Why do Maynard-Tao weights succeed?
TLDR: I have two questions thanks in advance:
Can we assume that the $w_{n}$ are smooth approximations and if so why? I've always struggled in knowing when it is permissible / how to find smooth app …
15
votes
1
answer
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Why do Maynard-Tao weights succeed?
I'm attempting to understand why the Maynard-Tao weights are successful in proving bounded gaps between primes, but the GPY weights are not.
These two posts do an excellent job in giving an overview …