|
| |
|
|
A159631
|
|
Dimension of space of modular forms of weight 1/2, level 4*n and trivial character.
|
|
4
|
|
|
|
1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 3, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 3, 1, 1, 1, 4, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 3, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 2, 2, 1, 1, 1, 3, 3, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 3, 1, 2, 2, 4, 1, 1, 1, 2, 1, 1, 1, 4, 1, 1, 1, 3, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 3
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,4
|
|
|
COMMENTS
|
We have a(n) = A046951(n) for all n < 125, but a(125)=3 > 2=A046951(125).
Also, the first nonzero cusp form of weight 1/2 occurs at level 1728.
|
|
|
LINKS
|
Antti Karttunen, Table of n, a(n) for n = 1..1200
H. Cohen and J. Oesterle, Dimensions des espaces de formes modulaires, Modular Functions of One Variable. VI, Proc. 1976 Bonn conf., Lect. Notes in Math. 627, Springer-Verlag, 1977, pp. 69-78.
MAGMA Calculator.
|
|
|
PROG
|
(MAGMA) [[4*n, Dimension(HalfIntegralWeightForms(4*n, 1/2))] : n in [1..125]]
(MAGMA) function a(n) return Dimension( ModularForms( Gamma0(4*n), 1/2)); end function; /* Michael Somos, Jun 13 2014 */
|
|
|
CROSSREFS
|
Cf. A046951.
Sequence in context: A049419 A299090 A046951 * A050377 A255231 A294874
Adjacent sequences: A159628 A159629 A159630 * A159632 A159633 A159634
|
|
|
KEYWORD
|
nonn
|
|
|
AUTHOR
|
Steven Finch, Apr 17 2009
|
|
|
EXTENSIONS
|
Data section filled up to 125 terms by Antti Karttunen, Jul 23 2017
|
|
|
STATUS
|
approved
|
| |
|
|
