#13259: Correcting definition of "negative" quantum integers
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Reporter: andrew.mathas | Owner: sage-combinat
Type: defect | Status: new
Priority: minor | Milestone: sage-5.3
Component: combinatorics | Keywords: quantum integer
Work issues: | Report Upstream: N/A
Reviewers: | Authors:
Merged in: | Dependencies:
Stopgaps: |
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Currently, "negative" quantum integers are only defined for non-negative
integers:
{{{
sage: q_analogues.q_int(-2)
Traceback (most recent call last):
...
ValueError: Argument (-2) must be a nonnegative integer.
}}}
The correct definition is that the quantum integer [n]_q is
[n]_q = { 1+q+...+q!^{n-1}, if n\ge
0[[BR]] { -q!^-n[-n], if n<0
This patch corrects this.
Note: prior to trac !#11411 these quantum integers were defined to be
zero, and #11411 made made q_int() return a !ValueError. Patch !#11411 was
motivated by q_binomial() returning incorrect answers. With this patch
both q_int() and q_binom() now return correct answers.
--
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13259>
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