#17852: Small cleanup in rings.arith and rings.integer
-------------------------------------+-------------------------------------
       Reporter:  vdelecroix         |        Owner:
           Type:  enhancement        |       Status:  needs_review
       Priority:  major              |    Milestone:  sage-6.6
      Component:  basic arithmetic   |   Resolution:
       Keywords:                     |    Merged in:
        Authors:  Vincent Delecroix  |    Reviewers:
Report Upstream:  N/A                |  Work issues:
         Branch:                     |       Commit:
  u/vdelecroix/17852                 |  975c2a0a6563538377eca78590fd16ddf0342548
   Dependencies:                     |     Stopgaps:
-------------------------------------+-------------------------------------
Changes (by vdelecroix):

 * status:  needs_work => needs_review


Old description:

> In this ticket:
>  - we implement the two functions `prime_part_m` and `binomial` directly
> as methods of Sage integers and get rid of the `late_import` in
> `sage.rings.integer`
>  - simplify the import logic in `rings.arith`
>  - replace in arith `prod([x for x in hum])` by `prod(x for x in hum)`
>  - remove some useless comments in arith

New description:

 In this ticket:
  - we implement the two functions `prime_part_m` and `binomial` directly
 as methods of Sage integers and get rid of the `late_import` in
 `sage.rings.integer`
  - simplify the import logic in `rings.arith`
  - replace in arith `prod([x for x in hum])` by `prod(x for x in hum)`
  - remove some useless comments in arith
  - deprecate `powermodm_ui`

--

Comment:

 Replying to [comment:10 jdemeyer]:
 > What's the point of `eratosthenes()`, shouldn't that be a
 `deprecated_function_alias` of `prime_range`?

 It is excplicitely written "for educational purpose"... I do not want to
 deprecate it so roughly.

 I agreed with all of the other suggestions and implemented them.

 Vincent

--
Ticket URL: <http://trac.sagemath.org/ticket/17852#comment:20>
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