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Oct 31, 2019 at 1:45 comment added ueir I'm interested in the formula which you obtained from this argument. Do you find anything for $\frac{T+2}{2p} \bmod p$ part? For $\sum_{i=0}^{(p-1)/2} \frac{i}{1+i-i^2} \bmod p$ part, it seems some rule exist (link).
Oct 29, 2019 at 13:09 comment added Fedor Petrov @ueir well, some formula is obtained from this argument, but not very nice.
Oct 29, 2019 at 5:41 comment added ueir Thank you. Is it possible to get the formula for $A$?
Oct 27, 2019 at 14:22 vote accept ueir
Oct 27, 2019 at 12:29 comment added Fedor Petrov @WhatsUp thank you, fixed
Oct 27, 2019 at 12:28 history edited Fedor Petrov CC BY-SA 4.0
edited body
Oct 27, 2019 at 12:27 comment added WhatsUp There's a $\mod 5$ which I believe should be $\mod p$. Nice answer!
Oct 27, 2019 at 9:18 history answered Fedor Petrov CC BY-SA 4.0