#17237: Consistent complex arguments for log integral
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Reporter: kcrisman | Owner:
Type: defect | Status: new
Priority: major | Milestone: sage-6.4
Component: basic | Keywords:
arithmetic | Authors:
Merged in: | Report Upstream: Reported upstream. Developers
Reviewers: | acknowledge bug.
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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At [http://ask.sagemath.org/question/24630/log_integral-gives-wrong-
values-for-complex-arguments/ this ask.sagemath question] it comes to our
attention that `Li(x)` and `Ei(log(x))` don't always agree, though
apparently `Ei(log(x))` currently gives what one wants on the critical
strip for the Riemann zeta function. mpmath apparently doesn't really
choose "smart" branch cuts for `Ei` internally, or maybe it's the log
integral that doesn't ... anyway, we need consistency here more than
anything else, though having it agree with the usual stuff on the critical
line would be nice.
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Ticket URL: <http://trac.sagemath.org/ticket/17237>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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