bio  website  

location  France  
age  32  
visits  member for  3 years, 7 months 
seen  2 hours ago  
stats  profile views  2,869 
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 ElliottHalberstam 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 ElliottHalberstam 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 