FUNCTION : latexprinttypeL1 - latex print list of type 1 identities
to a latex file
CALLING SEQUENCE : latexprinttypeL1(LL,EQNNAME,FILENAME)
PARAMETERS : LL - list of type 1ists
EQNNAME - equation tag
FILENAME - file name
SYNOPSIS :
Print Type 1 identities to a latex file
EXAMPLES :
> with(qseries):
> with(thetaids):
> with(ramarobinsids):
> xprint:=false: proveit:=true:
> G:=j->1/GetaL(qr(5),5,j):H:=j->1/GetaL(qnr(5),5,j):
> GM:=j->1/MGetaL(qr(5),5,j): HM:=j->1/MGetaL(qnr(5),5,j):
> GE:=j->-GetaLEXP(qr(5),5,j):HE:=j->-GetaLEXP(qnr(5),5,j):
> findtype1(12);
*** There were NO errors. Each term was modular function on
Gamma1(30). Also -mintotord=8. To prove the identity
we need to check up to O(q^(10)).
To be on the safe side we check up to O(q^(68)).
*** The identity below is PROVED!
[6, 1, -1]
eta(6 tau) eta(tau)
_G(6) _H(1) - _H(6) _G(1) = ---------------------
eta(3 tau) eta(2 tau)
"n=", 10
*** There were NO errors. Each term was modular function on
Gamma1(55). Also -mintotord=40. To prove the identity
we need to check up to O(q^(42)).
To be on the safe side we check up to O(q^(150)).
*** The identity below is PROVED!
[11, 1, -1]
_G(11) _H(1) - _G(1) _H(11) = 1
[[6, 1, -1], [11, 1, -1]]
> PROVEDFL1;
[[6, 1, -1, 30, -8], [11, 1, -1, 55, -40]]
> latexprinttypeL1(PROVEDFL1,RR51,"TESTRR5TYPE1.tex");
DISCUSSION :
This writes a list of Type 1 identities found by findtype1 to the
latex file TESTRR5TYPE1.tex
View as textfile
SEE ALSO :
findtype1, latexprinttype1, latexprinttypeL1