709 reputation
1720
bio website
location France
age 32
visits member for 3 years, 7 months
seen 2 hours ago

I'm a former student in physics fond of number theory, especially Hilbert's 8th problem, further generalizations of the Riemann Hypothesis and almost everything related to prime numbers and L Functions. I'm also interested in Galois Theory even though I still don't know much about it.


1d
accepted A conjectural convergence condition for a weakened Elliott-Halberstam conjecture
1d
asked Tensor product of two elements of the Selberg class
1d
comment What keeps asymptotic Goldbach's conjecture out of reach of current technology?
I don't doubt it. I just meant to point out the huge technical aspect of mathematicians' ideas, while the physicists' ones, though more simple, lack rigor.
1d
asked A conjectural convergence condition for a weakened Elliott-Halberstam conjecture
Oct
25
asked What would be the consequences of $\displaystyle{\lim\inf_{n\to\infty}p_{n+k}-p_{n}\sim k\log k}$?
Oct
25
comment How many mathematicians are there?
Too few of them.
Oct
19
comment is there an analogy between fractals and automorphic forms?
Thank you very much for the reference. I'll try to order this book so as to have it for my birthday on November 3rd :-)
Oct
19
asked is there an analogy between fractals and automorphic forms?
Oct
15
comment what would be the consequences on the distribution of primes of $\Lambda=\infty$?
Thank you very much for this wonderful answer. By the way, as English is not my mother tongue, can you tell me whether the spelling "zeros" is correct or not? I've had a doubt about it for quite a long time.
Oct
15
accepted what would be the consequences on the distribution of primes of $\Lambda=\infty$?
Oct
15
asked what would be the consequences on the distribution of primes of $\Lambda=\infty$?
Sep
27
comment Special values of $\zeta$ outside the real line and the critical strip
I'd say ordinates rather than abscissae.
Sep
24
awarded  Autobiographer
Sep
23
accepted is $x_{n}\ll \overline{x}_{n}^{2}$?
Sep
23
comment is $x_{n}\ll \overline{x}_{n}^{2}$?
Thank you but does your proposed counterexample meet the requirement $n.\overline{x}_{n}\ll_{\varepsilon} n^{1+\varepsilon}$ for all $\varepsilon\gt 0$? It doesn't look obvious to me.
Sep
23
comment is $x_{n}\ll \overline{x}_{n}^{2}$?
Not necessarily, indeed.
Sep
23
comment is $x_{n}\ll \overline{x}_{n}^{2}$?
$x\ll y$ means the same thing as $x=O(y)$. I added the number theory tags as number theorists are rather familiar with this notation, and the terms of the sequence I consider are positive integers.
Sep
23
asked is $x_{n}\ll \overline{x}_{n}^{2}$?
Sep
20
comment About Goldbach's conjecture
I did manage to establish the relation $r_{0}(n)=O(\log^{4} n)$ in my blog ideasfornumbertheory.wordpress.com. I don't know yet whether it implies the desired upper bound for $\alpha_{n}$ or not though.
Aug
6
revised About Goldbach's conjecture
added 207 characters in body