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asked 11 years ago

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Coefficients of infinite polynomial products

I would first like to ask if there are commands for computing infinite products,

eg.g=qn=1(1q8n)(1q16n).

If not, are there commands for finite products then? Can I compute the above K number of times?

Basically, I'm only interested in the coefficients of gθ2 and gθ4 where g is as above and θt=qtn2.

This link to OEIS seems to have a code for generating gθ2 in PARI, I always thought that SAGE is able to call pari, but I'm unable to perform the command on SAGE.

I'll appreciate it if anyone can advise me how best to do this or direct me to any resources, thanks!

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No.2 Revision

Coefficients of infinite polynomial products

I would first like to ask if there are commands for computing infinite products,

eg.g=qn=1(1q8n)(1q16n).

If not, are there commands for finite products then? Can I compute the above K number of times? then?

Basically, I'm only interested in the coefficients of gθ2 and gθ4 where g is as above and θt=qtn2.

This link to OEIS seems to have a code for generating gθ2 in PARI, I always thought that SAGE is able to call pari, but I'm unable to perform the command on SAGE.

I'll appreciate it if anyone can advise me how best to do this or direct me to any resources, thanks!

click to hide/show revision 3
No.3 Revision

Coefficients of infinite polynomial products

I would first like to ask if there are commands for computing infinite products,

eg.g=qn=1(1q8n)(1q16n).

If not, are there commands for finite products then?then? How do you compute g=qNn=1(1q8n)(1q16n)?

Basically, I'm only interested in the coefficients of gθ2 and gθ4 where g is as above and θt=qtn2.

This link to OEIS seems to have a code for generating gθ2 in PARI, I always thought that SAGE is able to call pari, but I'm unable to perform the command on SAGE.

I'll appreciate it if anyone can advise me how best to do this or direct me to any resources, thanks!