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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
1
vote
A sum related to the first moment of quadratic $L$-functions at $s=1$
If in doubt use the square-root cancellation heuristic.
You can think of this sum as
$$
\sum_{n < (\log x)^{100}} \varepsilon_n X_n
$$
where $\varepsilon_n$ is a random sign and $X_n$ is another rando …
0
votes
What is easier to find, the next prime number or next zero of zeta function?
What is easier to find the function or it's Fourier transform? If your function is spread out then it's easier to find the Fourier transform. If your function is concentrated it's easier to find the f …