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Results tagged with prime-numbers
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user 38104
Questions where prime numbers play a key-role, such as: questions on the distribution of prime numbers (twin primes, gaps between primes, Hardy–Littlewood conjectures, etc); questions on prime numbers with special properties (Wieferich prime, Wolstenholme prime, etc.). This tag is often used as a specialized tag in combination with the top-level tag nt.number-theory and (if applicable) analytic-number-theory.
4
votes
On the prime number theorem in arithmetic progression
Siegel - Walfisz theorem states
$$\psi(x,q;a)=x/\phi(q)+O(x/\log^Ax)$$when q is small;q is big ,the results is trival . (When is the Siegel-Walfisz theorem non-trivial?)
if $q \ll log^Ax$,we have
$ …
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