aghitza / modularforms.jl Goto Github PK
View Code? Open in Web Editor NEWimplementation of modular forms algorithms in Julia
License: Other
implementation of modular forms algorithms in Julia
License: Other
victor_miller_basis
immediately as a power series and see if this is more efficient. (How about eisenstein_series_qexp
?)Questions:
::
operator)?generators.jl
or do we want to redefine Delta16()
etc. using delta_k_qexp(16)
?write benchmarks for the modular forms code using
The REQUIRE file could not be found.
cc: @aghitza
The following functions do now only have a power series version:
hecke_operator_on_qexp
(and the prime versions)Delta16
, etc.The following functions have both a polynomial and a power series implementation:
delta_poly
and delta_qexp
eisenstein_series_poly
and eisenstein_series_qexp
victor_miller_basis_poly
and victor_miller_basis
Questions:
eisenstein_series_qexp
via eisenstein_series_poly
and big_oh
or do I keep it like this? Now not using eisenstein_series_poly
.victor_miller_basis
immediately s.t. the output is in terms of power series or do I keep the current version where it uses victor_miller_basis_poly
and big_oh
?We just need to copy them from src/delta.jl or so.
To do:
hecke_operator_on_qexp
such that it returns a power series up to the correct precision.eisenstein_series_poly
, eisenstein_series_qexp
, the generators, and victor_miller_basis
.big_oh
.delta_poly
, delta_qexp
, eisenstein_series_poly
, and eisenstein_series_qexp
such that they work for all rings (instead of only ZZ or QQ, resp.).hecke_operator_on_qexp
and hecke_operator_on_basis
to the space of all modular forms (instead of only cusp forms).In addition, fix (currently not working as it should):
hecke_operator_on_qexp
for n = 1. Currently only returns 1. PROBLEM. (For now, test commented so that tests keep running.)victor_miller_basis
now returns an array consisting of fmpq_rel_series elements instead of fmpz_rel_series.Check comments in files:
hecke_operator_on_basis
.eisenstein_series_qexp
. How do we define prec for the PowerSeriesRing?Other:
README.md
.LICENSE.md
..travis.yml
file.Sources about setting up as a module and testing
The tag name "v0.1" is not of the appropriate SemVer form (vX.Y.Z).
cc: @aghitza
The REQUIRE file could not be found.
cc: @aghitza
It would be nice to be able to do the following:
eisenstein_series_qexp(24,20,normalization="integral")
instead of
eisenstein_series_qexp(24,20,QQ,"q","integral")
like is possible in Sage.
However, this seems to be impossible in Julia.
There seems to be the following options:
Using optional arguments (as we are already doing):
function foo(a=1,b=2)
a+b
end
Then foo()
returns 3
, foo(2)
returns 4
, and foo(2,3)
returns 5
. But foo(b=3)
returns an error.
Using keyword arguments:
function foo(;a=1,b=2)
a+b
end
Note: If we would do function foo(a=1;b=2) ...
only b
would be a keyword argument.
Then foo()
returns 3
, foo(a=2)
returns 4
, and foo(a=2,b=3)
returns 5
. But now foo(3)
or foo(3,b=2)
returns an error. So any argument that is a keyword argument needs to be called like foo(keyword=...)
. However, now it is possible to do foo(b=3)
(i.e. only call the second argument) (which will return 4
and automatically take the default value for a
).
So I think we need to choose between:
being able to do eisenstein_series_qexp(24,20,normalization="integral")
but then always need to write down normalization
(so also with eisenstein_series_qexp(24,20,QQ,"q",normalization="integral")
).
always needing to put all arguments if want to do a different normalization, but not need to write down normalization=
(i.e. eisenstein_series_qexp(24,20,QQ,"q","integral")
).
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