[seqfan] Re: Is a partition with distinct parts and maximum product of parts, unique ?

[Jean-François Alcover]

All I can say is "thanks a lot ! "
jf

Le ven. 13 sept. 2019 à 05:07, Frank Adams-watters via SeqFan <
seqfan at list.seqfan.eu> a écrit :

> It's really pretty simple. All of the inequalities in the proof are strict
> inequalities (> instead of >=). So the partition which is found to be
> optimal is not just >= any other, it is >. And hence it is unique.
>
> Franklin T. Adams-Watters
>
>
> -----Original Message-----
> From: Jean-François Alcover <jf.alcover at gmail.com>
> To: Sequence Fanatics Discussion list <seqfan at list.seqfan.eu>
> Sent: Thu, Sep 12, 2019 3:36 pm
> Subject: [seqfan] Re: Is a partition with distinct parts and maximum
> product of parts, unique ?
>
> Thanks for the link.
> I feel a bit disappointed there seems to be no simple proof (simple enough
> for me!)
> - not of the formula - but of the uniqueness of the partition maximizing
> the  product.
> Thanks anyway
> jfa
>
> Le jeu. 12 sept. 2019 à 21:10, cwwuieee <cwwuieee at gmail.com> a écrit :
>
> > Maybe this discussion will help:
> >
> https://math.stackexchange.com/questions/62201/proof-of-max-product-of-partitions-of-nChaiwah
> > -------- Original message --------From: Jean-François Alcover <
> > jf.alcover at gmail.com> Date: 9/12/19  1:22 AM  (GMT-05:00) To: Sequence
> > Fanatics Discussion list <seqfan at list.seqfan.eu> Subject: [seqfan] Is a
> > partition with distinct parts and maximum product of parts, unique ?
> [This
> > is about  https://oeis.org/A034893 ]A theorem quoted by Sills &
> Schneider
> > :<< Theorem 11 (Anonymous). Among all partitions of n >= 1,the partition
> > with maximum norm is [...] >>implies it's true, but I'd like to get an
> > explicit proof(a proof I'm unfortunately unable to find ! ).Thanks in
> > advance for any help,jfa--Seqfan Mailing list - http://list.seqfan.eu/
> >
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