433 reputation
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age 33
visits member for 3 years, 7 months
seen Mar 26 at 8:33

Just an amateur fond of number theory


Mar
21
comment Definition of semi-ring homomorphism
Does it entail that any homomorphism $h$ from $(N_{0},0,1,+,.)$ to itself is the restriction to this semiring of a field automorphism?
Mar
20
revised is this map necessarily a field automorphism?
added 4 characters in body
Mar
19
asked is this map necessarily a field automorphism?
Mar
9
asked is the degree of an L-function a semiring homomorphism?
Mar
6
comment dimension of a scheme and degree of an L-function
Thanks a lot. So that, if we want to view an L-function $F$ as "representative" of a scheme $X_F$, and assuming the degree of $F$ is the dimension of $X_F$, the product $F.G$ should be representative of $X_{F}\times_{k} X_{G}$ for some field $k$, right?
Mar
6
accepted Riemann Zeta function, quaternions and physics
Mar
6
asked dimension of a scheme and degree of an L-function
Feb
16
comment Possibly New Prime Conjecture
See my blog ideasfornumbertheory.wordpress.com for some possible insights.
Feb
16
comment Is a closed simple curve of the plane entirely determined by the points of extremal or stationary curvature?
Let us continue this discussion in chat.
Feb
16
comment Is a closed simple curve of the plane entirely determined by the points of extremal or stationary curvature?
You have a point there. I should have paid more attention while trying to translate the picture I had in mind into words, mea culpa. What about the second question?
Feb
16
comment Is a closed simple curve of the plane entirely determined by the points of extremal or stationary curvature?
Ok, the curvature extrema occur at the same points, but the actual values of the curvature at these points are different for $\alpha$ and $\gamma$, aren't they?
Feb
15
comment Is a closed simple curve of the plane entirely determined by the points of extremal or stationary curvature?
Thank you for your answer but I'm afraid I don't really understand it, or maybe my phrasing was bad. You say $\alpha$ and $\beta$ have the same image. Hence the purely geometrical object (namely, the ellipse) they define is the same. Maybe I should have said "the affine plane" instead of $\mathbb{R}^2$. And by the way, computer related stuff is rather useless to me. I may be old-fashioned, but all I use to (try to) do math are my brain, a pencil and sheets of paper.
Feb
15
asked Is a closed simple curve of the plane entirely determined by the points of extremal or stationary curvature?
Dec
19
awarded  Constituent
Dec
15
awarded  Caucus
Dec
11
comment Any results for small number Goldbach conjecture research?
Goldbach's even conjecture has been shown to hold up to 4.10E18 actually.
Dec
10
comment Why the Riemann hypothesis doesn't imply Goldbach?
You might be interested in my blog ideasfornumbertheory.wordpress.com where I give both heuristics and rather rigorous arguments to establish the asymptotic Goldbach's conjecture unconditionnaly. Please don't hesitate to leave a comment there.
Oct
28
accepted Is such a number necessarily irrational?
Oct
28
awarded  Yearling
Oct
28
asked Is such a number necessarily irrational?