#13798: q-Bernoulli numbers of Carlitz
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Reporter: chapoton | Owner: sage-combinat
Type: enhancement | Status: new
Priority: minor | Milestone: sage-5.6
Component: combinatorics | Resolution:
Keywords: bernoulli | Work issues:
Report Upstream: N/A | Reviewers:
Authors: | Merged in:
Dependencies: | Stopgaps:
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Description changed by chapoton:
Old description:
> Leonard Carlitz has introduced q-analogues of Bernoulli numbers in
>
> * Carlitz, L: q-Bernoulli numbers and polynomials. Duke Math J. 15,
> 987–1000 (1948)
>
> * Carlitz, L: q-Bernoulli and Eulerian numbers. Trans Am Soc. 76, 332–350
> (1954)
>
> These q-Bernoulli numbers are fractions in q, that give the usual
> Bernoulli numbers when q=1.
>
> A patch to compute them is in preparation.
New description:
Leonard Carlitz has introduced q-analogues of Bernoulli numbers in
* Carlitz, L: q-Bernoulli numbers and polynomials. Duke Math J. 15,
987–1000 (1948)
* Carlitz, L: q-Bernoulli and Eulerian numbers. Trans Am Soc. 76, 332–350
(1954)
These q-Bernoulli numbers are fractions in q, that give the usual
Bernoulli numbers when q=1.
A patch to compute them is proposed below. Maybe someone could make it
more efficient ?
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/13798#comment:1>
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