On Mon, Sep 12, 2022 at 2:21 PM Jeremy Tan <reddeloo...@gmail.com> wrote:
>
> Perhaps I need your help, William. The associated trac ticket 
> https://trac.sagemath.org/ticket/34521 was marked invalid offhand by the 
> release manager Frédéric Chapoton despite me managing to fix all the doctests 
> simply and the ticket itself not conflicting with any Sage policies.
>
> He claims that "Mr Luschny has not published any mathematical article" – but 
> his manifesto is indistinguishable from an article in letter from (it is a 
> reply to Donald Knuth) and his introduction to the Bernoulli function is even 
> more of an article. I believe I have responded in kind to his claim that B_1 
> = -½ is "standard".
>
> There must be a way to get Chapoton out of the way here so we can effect the 
> deprecation.

Frederic has not been helpful here, unfortunately - sorry, Jeremy.
I've made a comment to this effect on the ticket. People communicated
here on the topic, it was deemed to have a merit, and closing tickets
like this is just putting people off.

Dima

>
> On Sunday, 11 September 2022 at 01:49:48 UTC+8 wst...@gmail.com wrote:
>>
>> On Sat, Sep 10, 2022 at 10:04 AM davida...@gmail.com
>> <davida...@gmail.com> wrote:
>> >
>> > > I'm curious if the change breaks any code anywhere else in Sage (e.g., 
>> > > maybe for computing q-expansions of modular forms?)...
>> >
>> > You guessed right. I did a quick local change to the bernoulli function 
>> > and it indeed breaks some tests in sage/modular/modform:
>>
>> I created all of the files listed below. My guess is that code for
>> computing q-expansions of Eisenstein series assume B(1) is what it is,
>> and one would just need to change that code by changing a sign
>> somewhere.
>>
>> William
>>
>> >
>> > ~/sage$ ./sage -t src/sage/modular/modform
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/ambient.py # 1 doctest failed
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/element.py # 11 doctests failed
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/ambient_g1.py # 1 doctest failed
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/eisenstein_submodule.py # 4 doctests failed
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/ring.py # 3 doctests failed
>> > sage -t --random-seed=279226112023210448433794639443228726052 
>> > src/sage/modular/modform/constructor.py # 1 doctest failed
>> >
>> >
>> > However, I would be in favor for this change. I would also be glad to lend 
>> > a hand for fixing those doctests.
>> > Le samedi 10 septembre 2022 à 12:50:44 UTC-4, wst...@gmail.com a écrit :
>> >>
>> >> On Sat, Sep 10, 2022 at 7:17 AM Jeremy Tan <redde...@gmail.com> wrote:
>> >> >
>> >> > My name is Jeremy Tan, or Parcly Taxel in the furry/MLP art scene. As 
>> >> > of this post I am a recent graduate from the National University of 
>> >> > Singapore with two degrees in maths and computer science.
>> >> >
>> >> > Over the past month I had a good read of Peter Luschny's Bernoulli 
>> >> > Manifesto (http://luschny.de/math/zeta/The-Bernoulli-Manifesto.html) 
>> >> > and was thoroughly convinced that B_1 (the first Bernoulli number) has 
>> >> > to be +½, not -½. (Much of Luschny's argument centres on being able to 
>> >> > (1) interpolate the Bernoulli numbers when B_1 = +½ with an entire 
>> >> > function intimately related to the zeta function, and (2) extend the 
>> >> > range of validity of or simplify several important equations like the 
>> >> > Euler–Maclaurin formula. Have a read yourself though – it is close to 
>> >> > divine truth.)
>> >> >
>> >> > So I went to SymPy – one of SageMath's dependencies, and where a 
>> >> > discussion on this topic was open 
>> >> > (https://github.com/sympy/sympy/issues/23866) – and successfully merged 
>> >> > several PRs there (https://github.com/sympy/sympy/pull/23926) 
>> >> > implementing both that change and some functions in Luschny's "An 
>> >> > introduction to the Bernoulli function" 
>> >> > (https://arxiv.org/abs/2009.06743).
>> >> >
>> >> > I thought I was also done with changing B_1 = +½ for SageMath, but then 
>> >> > someone pointed out that the latter currently uses other libraries that 
>> >> > all have B_1 = -½. I have already opened a PR for one such library, 
>> >> > FLINT, to change B_1 = +½ there 
>> >> > (https://github.com/wbhart/flint2/pull/1179). However Fredrik Johansson 
>> >> > has advised me that I take the discussion right here, to sage-devel, 
>> >> > because (in his words)
>> >> >
>> >> > > if FLINT and Arb change their definitions but the Sage developers 
>> >> > > decide that they don't like it, they will just treat the new behavior 
>> >> > > as a bug and add a special case in the wrapper to return B_1 = -½.
>> >> >
>> >> > So my proposal is to special-case it the other way – before the backend 
>> >> > selection in Sage's Bernoulli code 
>> >> > (https://github.com/sagemath/sage/blob/08202bc1ba7caea46327908db8e3715d1adf6f9a/src/sage/arith/misc.py#L349),
>> >> >  add a check for argument 1 and immediately return +½ if that is the 
>> >> > case. This also has the advantage of bypassing libraries that haven't 
>> >> > or don't want to change.
>> >> >
>> >> > What do you think?
>> >>
>> >> It could be done via the "1 year deprecation policy". I.e., return the
>> >> current value by default with a warning message
>> >> (and note about an option to change it) for the next year, then when
>> >> there is a release in late 2023 (?), the default would change. This
>> >> would give people time to update their code.
>> >>
>> >> I have no comment on the pros and cons of this personally, though I'm
>> >> curious if the change breaks any code anywhere else in Sage (e.g.,
>> >> maybe for computing q-expansions of modular forms?)...
>> >>
>> >> >
>> >> > Jeremy Tan / Parcly Taxel
>> >> >
>> >> > --
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>> >>
>> >>
>> >>
>> >> --
>> >> William (http://wstein.org)
>> >
>> > --
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>>
>>
>>
>> --
>> William (http://wstein.org)
>
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