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2d
revised Constructing quintic number fields with certain splitting behaviour
added 418 characters in body
2d
answered Constructing quintic number fields with certain splitting behaviour
Jul
8
awarded  Nice Answer
Jul
2
awarded  Curious
Jun
18
awarded  Nice Answer
May
16
answered Motives over finite field not generated by hyperelliptic curves
Apr
29
comment Argument for unboundedness of integral points of elliptic curves over number fields
Oh I see. But if that's what joro was asking, I don't see how his construction gives any hint of how to get unbounded rank over a fixed K.
Apr
28
comment Argument for unboundedness of integral points of elliptic curves over number fields
It should do. Just take your r points defined over disjoint quadratic fields, whose compositum is K; the MW rank over THAT field is finite, so you can certainly choose an integer x such that (sqrt(f(x))) generates a further quadratic extension of K, then you have rank r+1 and you just keep going.
Apr
28
answered How many solutions to $2^a + 3^b = 2^c + 3^d$?
Apr
28
answered Argument for unboundedness of integral points of elliptic curves over number fields
Apr
7
awarded  Good Answer
Feb
24
comment What can we learn from the tropicalization of an algebraic variety?
Actually, I find Dustin Cartwright's work on the higher-dimensional case very convincing.
Jan
8
comment Consecutive averages of sequence (or difference quotients of partial sums) always square
A nice special case is to ask whether a periodic sequence x,y,z,x,y,z,... can have all 1,2,3-averages perfect squares. This is a question about a cover of P^2 obtained by adjoining square roots of 7 linear forms; it would be fun to work out what this surface looks like and whether e.g. one has some rational curves on it.
Nov
8
awarded  Enlightened
Nov
8
awarded  Nice Answer
Nov
1
awarded  Enlightened
Nov
1
awarded  Nice Answer
Oct
25
awarded  Nice Answer
Oct
24
revised Probability of coprime polynomials
added 98 characters in body
Oct
24
answered Probability of coprime polynomials