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Results tagged with nt.number-theory
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user 498214
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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vote
What is easier to find, the next prime number or next zero of zeta function?
Finding the next prime number is faster within the same range after about $10^8$. Eratosthenes is as fast as $O(n)=n\log(\log(n))$, while the best known algorithm for Riemann zeros is far from trivial …
-1
votes
Error term in França-LeClair approximation of zeta zeros
It is expected to have integer part correct. Even for a very large value.
Transcendental equations satisfied by the individual zeros of Riemann ζ, Dirichlet and modular L-functions Guilherme França an …