FUNCTION : checkprod - check q-series is a nice product
CALLING SEQUENCE : checkprod(f,M,Q)
PARAMETERS : f - q-series
M,q - positive integers
SYNOPSIS :
Computes first Q exponents in the formal product of f.
Returns [c,1] if absolute vale of these exponents is less than M.
Here q^c is smallest power of q of f.
EXAMPLES :
> with(qseries):
> V:=add(q^(n^2)/aqprod(q^n,q,n),n=0..10):
> F:=series(V,q,101):
> checkprod(F,10,20);
[0, 1]
> checkprod(F,10,50);
[0, 1150]
> prodmake(F,q,50,list);
[-1, 0, 0, -1, 1, -1, 0, 1, -2, 1, 0, -1, 2, -3, 2, -1, -3, 7, -6, 2, 2, -9, 13,
-11, 2, 11, -26, 32, -18, -11, 43, -69, 65, -19, -56, 132, -171, 124, 22,
-222, 381, -392, 172, 260, -736, 999, -804, 29, 1150]
DISCUSSION :
SEE ALSO :
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