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Top Questions
13
votes
Why shouldn't this prove the Prime Number Theorem?
nt.number-theory
prime-numbers
prime-number-theorem
asked Apr 20, 2019 at 21:45
mathoverflow.net
9
votes
On superabundant-like numbers
nt.number-theory
asked Jan 21, 2021 at 20:03
mathoverflow.net
8
votes
A curious pattern on primes congruent to $1$ mod $4$?
number-theory
prime-numbers
asked Jan 6, 2016 at 23:21
math.stackexchange.com
7
votes
Reference request for the explicit formula for $\sum_{n\leq x} \Lambda(n)n^{-s}$
nt.number-theory
reference-request
cv.complex-variables
analytic-number-theory
riemann-zeta-function
asked Jul 29, 2020 at 10:08
mathoverflow.net
5
votes
On the asymptotics of some sum involving the Mertens function
nt.number-theory
cv.complex-variables
analytic-number-theory
riemann-zeta-function
asked Aug 20, 2020 at 19:13
mathoverflow.net
5
votes
3 as a sum of three integer cubes
number-theory
diophantine-equations
asked Sep 18, 2019 at 9:41
math.stackexchange.com
5
votes
On Exercise 2.5.10 in Ram. M. Murty's book, "Problems in Analytic Number Theory."
nt.number-theory
reference-request
analytic-number-theory
asked Jan 5, 2020 at 20:39
mathoverflow.net
5
votes
Where can I find this result of Ingham?
reference-request
analytic-number-theory
riemann-zeta-function
asked Feb 8, 2019 at 19:44
mathoverflow.net
5
votes
What was the first elementary proof that $\pi(x)=o(x)$?
nt.number-theory
prime-numbers
ho.history-overview
elementary-proofs
asked Apr 19, 2019 at 15:39
mathoverflow.net
5
votes
Describe the integral solutions to this cubic equation.
number-theory
diophantine-equations
asked Dec 27, 2015 at 16:52
math.stackexchange.com
1
2
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Top Answers
7
On the integral $I_s =\int_{1}^{\infty} (\pi(x)-Li(x))x^{-s-1} dx$
mathoverflow.net
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