Timeline for (Translation request) Hypotheses of the Blom-Fredberg bounds on denumerants?
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Jul 11, 2020 at 21:16 | comment | added | Per Alexandersson | They use $d_m$ as the GCD of $a_1,\dotsc,a_m$. One can then quite easily factor out this from the problem, and assume $a_1=1$ without losing much. | |
| Jul 11, 2020 at 20:56 | history | edited | Carl-Fredrik Nyberg Brodda | CC BY-SA 4.0 |
Removed some examples after helpful comment.
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| Jul 11, 2020 at 19:54 | comment | added | Carl-Fredrik Nyberg Brodda | @MaxAlekseyev You are right, of course. I misread his condition as pairwise co-prime. Nevertheless, the main point is that no additional assumptions are added inside the text to the statement of the theorem. | |
| Jul 11, 2020 at 12:20 | comment | added | Max Alekseyev | I'm confused then. Your bullet points do not support this conclusion (only that they assume no pairwise coprimality), and according to @Ramanumpy, all their examples contain 1 and thus are co-prime. | |
| Jul 11, 2020 at 7:43 | comment | added | Carl-Fredrik Nyberg Brodda | @MaxAlekseyev No, I mean it as it is written; "their many examples clearly show that they do not assume [coprimality of the $a_i$]". | |
| Jul 11, 2020 at 2:16 | comment | added | Max Alekseyev | "their many examples clearly show that they do not assume this" - do you mean they do assume this by any chance? | |
| Jul 10, 2020 at 20:10 | comment | added | Ramanumpy | Unfortunately it was precisely the examples that made me suspicious because they are all coprime cases due to the first value 1 (common to all the examples). The lack of explicit declaration of coprimality and the observation you make on page 57 I would say that they close the discussion making an even more remarkable a beautiful theorem. Thanks. | |
| Jul 10, 2020 at 20:00 | vote | accept | Ramanumpy | ||
| Jul 10, 2020 at 19:40 | history | answered | Carl-Fredrik Nyberg Brodda | CC BY-SA 4.0 |