Timeline for Asymptotic behavior of a certain trigonometric partial sum
Current License: CC BY-SA 4.0
3 events
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| Mar 24, 2020 at 12:34 | history | edited | Ludwig | CC BY-SA 4.0 |
deleted 7 characters in body
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| Nov 2, 2018 at 21:09 | comment | added | Noam D. Elkies | Thanks, and good questions. Answers: (1) The fancy answer is that it's the sum of the values of a character over an abelian group (product of two cyclic groups of order 2N), which is zero unless the character is trivial in which case it's the group size. The simple answer is to write the sum as the product of two geometric series. (2) Yes, sorry. They were all c(r,s) until I noticed that this clashed with the notation in the first display, and then I missed one of the c's when changing each to $\phi$. Will fix soon. (3) The integral's absolute value is bounded, being at most $\iint |F|$. | |
| Nov 2, 2018 at 3:01 | history | answered | Noam D. Elkies | CC BY-SA 4.0 |