Reputation
559
Next privilege 1,000 Rep.
See votes, expandable usercard
Badges
2 11
Newest
 Custodian
Impact
~10k people reached

  • 0 posts edited
  • 3 helpful flags
  • 14 votes cast
Feb
4
comment Birch's conjecture from Representation Theory
It tells me there is something deeper going on, as we only get the ones with -1 as Atkin-Lehner eigenvalue.
Feb
4
accepted Birch's conjecture from Representation Theory
Feb
3
comment Birch's conjecture from Representation Theory
SO(3), as we're taking trivial weight to start.
Feb
3
comment Birch's conjecture from Representation Theory
So I got this far, with Gelbart's book on GL(2) but then couldn't figure out the connection to O(3) locally.
Feb
3
comment Birch's conjecture from Representation Theory
@Kimball I think I mentally included only the units in my $D^{x}$, and picked $x^2+y^2+z^2$ as the "right thing". The reason I want to do this is that the paramodular forms Jeffery Hein and I computed are the ones that happen in an analogous situation in $GU_{2}(D)$ vs $O(5)$.
Jan
29
answered Interpolation of a series of data points via Chebyshev approximation?
Jan
27
comment Solving equations in SO(3) : an open problem by Jan Mycielski
Why doesn't $X$=identity, $Y$=rotation by $alpha/(q_1+q_2+\ldots+q_m)$ give any rotation we desire?
Jan
22
answered Curve with given Frobenius polynomial
Jan
22
answered isogeny based cryptography
Jan
22
awarded  Custodian
Jan
22
reviewed Reviewed Equivalence of local and global geodesics in projective spaces
Jan
21
comment Birch's conjecture from Representation Theory
Birch, B.J. "Hecke actions on classes of ternary quadratic forms". Computational Number Theory: Proceedings of the Colloquium on Computational Number Theory held at Kossus Lajos University. de Gruyter, 1991.books.google.com/…
Jan
20
asked Birch's conjecture from Representation Theory
Jan
15
comment Interpret Fourier transform as limit of Fourier series
I fixed that in an edit. Thanks for pointing that out
Jan
15
revised Interpret Fourier transform as limit of Fourier series
added 3 characters in body
Jan
15
comment Interpret Fourier transform as limit of Fourier series
A bandlimited function is completely determined by its samples if the sampling rate is twice the maximum frequency. That's the Nyquist sampling theorem. The result of a Fourier transform has infinitely many frequency components where the frequencies go down to zero: it's time limited samples where the number of frequency components is finite. This is all standard material in signal processing textbooks, which I cited by the name of the theorem.
Jan
14
answered Interpret Fourier transform as limit of Fourier series
Dec
13
accepted Mazur's Galois Deformations paper for non-residually irreducible case
Dec
11
asked Mazur's Galois Deformations paper for non-residually irreducible case
Dec
4
accepted Generalization of a lemma of Livne