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Results tagged with modular-forms
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user 5267
Questions about modular forms and related areas
4
votes
modular eigenforms with integral coefficients [Maeda's Conjecture]
"He said (and I never understood this comment so feel free to fill me in) that S_k(1;Q) being irreducible as a Hecke module was related to (equivalent to?) a certain L-value not vanishing, and L-value …
- 2,704
6
votes
Basis for modular forms of half-integral weight
"MAGMA does not seem to include this functionality, either."
Basis(HalfIntegralWeightForms(DirichletGroup(4).1^2,11/2));
[
1 - 88*q^3 - 330*q^4 - 4224*q^7 - 7524*q^8 - 30600*q^11 + O(q^12),
…
- 2,704
3
votes
weight 4 eigenforms with rational coefficients---is it reasonable to expect they all come fr...
"At the level of L-functions, this should force the L-fn attached to the weight two form of g to vanish to order the order of vanishing of the L-fn of the weight 4 form f. How could two modular forms …
- 2,704
3
votes
Does anyone want a pretty Maass form?
Here it is from Dokchitser in Magma:
> L:=LSeries(HilbertClassField(QuadraticField(145)) : Method:="Artin");
> L`prod;
[
<L-series of Riemann zeta function, 1>,
<L-series of Artin representation …