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Results tagged with nt.number-theory
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user 314236
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
0
votes
0
answers
392
views
Spiralling cycles surrounding zeros
The following came up, as a vague idea, in dialogue with a bright, female, 20 year old student of mine. It is a bit vague, but it seems that conjecture 1 is not present in the literature, which seems …
- 232
6
votes
0
answers
319
views
Hoheisel's paper
Does anyone know a digital link to Hoheisel's paper: "Primzahlprobleme in der Analysis"?
It appeared in the 30's, published by the Berlin Academy. There seems to be no digital version.
- 232
12
votes
2
answers
1k
views
Prime differences and zero multiplicity
Concerning gaps between consecutive primes, Paul Erdős conjectured that:
$$\sum_{p_n < x} (p_n -p_{n-1})^2 = O(x \log x)$$
Let's call this hypothesis EH. Assuming the Riemann hypothesis (RH), Selberg …
- 232