CachedQPochhammerPower(C, L)ΒΆ
cachedqpochpow.spad line 88 [edit on github]
C: Ring
CachedQPochhammerPower implements a cache for powers of the Euler function ($q$-Pochhammer symbol $(q;q)_infty$. and the Jacobi function (
- 1: %
from MagmaWithUnit
- ^: (%, NonNegativeInteger) -> %
from MagmaWithUnit
- ^: (%, PositiveInteger) -> %
from Magma
- coerce: % -> OutputForm
from CoercibleTo OutputForm
- eulerFunctionPower: (PositiveInteger, Integer) -> L
eulerFunctionPower(n, e)computes (prod_{k=1}^infty(1-q^{kn}))^e.
- hash: % -> SingleInteger
from SetCategory
- hashUpdate!: (HashState, %) -> HashState
from SetCategory
- jacobiFunctionPower: (PositiveInteger, PositiveInteger, Integer) -> L
jacobiFunctionPower(d,g,e)computes and caches jacobiFunction(d,g)^e from QFunctions(C,L).
- latex: % -> String
from SetCategory
- leftPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
- leftPower: (%, PositiveInteger) -> %
from Magma
- leftRecip: % -> Union(%, failed)
from MagmaWithUnit
- one?: % -> Boolean
from MagmaWithUnit
- recip: % -> Union(%, failed)
from MagmaWithUnit
- rightPower: (%, NonNegativeInteger) -> %
from MagmaWithUnit
- rightPower: (%, PositiveInteger) -> %
from Magma
- rightRecip: % -> Union(%, failed)
from MagmaWithUnit
- sample: %
from MagmaWithUnit