Timeline for Has any one seen this sum of roots of unity before?
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4 events
| when toggle format | what | by | license | comment | |
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| May 21, 2022 at 6:00 | comment | added | Christian Elsholtz | For this example Mathematica gives: $zeta = Exp[2 Pi I/125]; \sum _{i=0}^{24} \text{zeta}^{3\ 6^i+11^i}$ gives $$5 e^{\frac{8 i \pi }{125}}+ 10 e^{-\frac{1}{125} (42 i \pi )}+10 e^{\frac{58 i \pi }{125}}$$, which gives N[\%] 10.9551 +2.23283 i. With $a=1$ it is numerically close to $0$. Can anybody else check this independently? | |
| May 19, 2022 at 2:30 | vote | accept | Asvin | ||
| S May 19, 2022 at 2:24 | review | First answers | |||
| May 19, 2022 at 3:29 | |||||
| S May 19, 2022 at 2:24 | history | answered | johng23 | CC BY-SA 4.0 |