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May
20
comment Yitang Zhang’s preprint on Landau-Siegel zeros
The second paragraph on page 2 in Zhang's paper: Although Theorem 2 does not completely eliminate the Landau-Siegel zeros in their original definition, our results will be sufficient for various applications in both of the analytic number theory and algebraic number theory.
Apr
21
revised sum of three cubes and parametric solutions
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Apr
14
comment Are there refuted analogues of the Riemann hypothesis?
Most Dirichlet Series(those one without Euler Products) with periodic coefficients badly violate RH( see arxiv.org/abs/0807.0783).
Apr
5
comment sum of three cubes and parametric solutions
@Martin: Yes, it is exactly the same question I asked on Math.SE.
Apr
3
comment sum of three cubes and parametric solutions
$x^3+y^3=z^3+w^3$ has indeed infinite many polynomial solutions(as Euler has stated), but we do not know whether $w\vert(x,y,z)$ from such a statement.
Apr
3
comment sum of three cubes and parametric solutions
@D Burde:It is quite easy to find a family of genus 0 curves on the surface $x^3+y^3+z^3=2$. Finding out an intersection of the surface and a tangent plane touching the surface at a rational point could be a easy way to construct a genus 0 curve on the surface. But the curve mentioned in the question is a special genus 0 curve, I think.
Apr
1
asked sum of three cubes and parametric solutions