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Sep 3, 2019 at 13:54 comment added Brian Hopkins Why I think this question should not be closed: In my own research, I have asked other mathematicians for help with unclear notation in published papers---to me, that makes the question topical for MO. While the answer here is not profound, note that there were various initial guesses in the comments, so the answer was not necessarily obvious.
Sep 2, 2019 at 0:00 review Reopen votes
Sep 2, 2019 at 8:14
S Sep 1, 2019 at 23:40 history suggested Brian Hopkins CC BY-SA 4.0
Rephrasing question as notation clarification. Such questions have been part of my own research experience, so I think it's a valid MO question.
Sep 1, 2019 at 21:12 review Suggested edits
S Sep 1, 2019 at 23:40
Sep 1, 2019 at 14:06 history closed Wojowu
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Sep 1, 2019 at 3:40 history edited Nourddine Snanou CC BY-SA 4.0
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Sep 1, 2019 at 2:41 history edited Nourddine Snanou CC BY-SA 4.0
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Aug 31, 2019 at 18:20 review Close votes
Sep 1, 2019 at 14:10
Aug 31, 2019 at 17:46 answer added Brian Hopkins timeline score: 4
Aug 31, 2019 at 12:16 comment added Emil Jeřábek Which would imply that $S_{k,-k}=0$ if $m\mid k$ (which, in view of coprimality of $m$ and $k$, means $m=1$), and $S_{k,-k}=1$ otherwise.
Aug 31, 2019 at 12:08 comment added Emil Jeřábek Seeing the context, this might in fact be just the integer part function. Moreover, Wikipedia tells me that the notation $[x]$ for integer part was actually introduced by Gauss, hence it is not unreasonable to call it the Gauss symbol (but as witnessed here, calling it as such results in nothing but confusion).
Aug 31, 2019 at 7:21 comment added Emil Jeřábek Could be some form of Gauss sums.
Aug 31, 2019 at 3:07 comment added Nourddine Snanou Thank you Koushik for this remark. what do you think about the value of the number $S_{k(-k)}$.
Aug 31, 2019 at 2:11 comment added Praphulla Koushik Is it the quadratic reciprocity symbol?? I don't know if people call it Gauss symbol.. it is usually called as Legendre symbol...
Aug 31, 2019 at 1:59 comment added Gerry Myerson I don't know. I'm familiar with the use of $[x]$ to mean the integer part of $x$, that is, the integer such that $0\le x-[x]<1$. Does that work in the paper?
Aug 31, 2019 at 0:08 history edited Nourddine Snanou CC BY-SA 4.0
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Aug 31, 2019 at 0:01 history asked Nourddine Snanou CC BY-SA 4.0