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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 |