Timeline for Oscillating sums

9 events

when toggle format	what		by	license	comment
Apr 21, 2021 at 14:48	history	edited	coco	CC BY-SA 4.0	added 97 characters in body
Apr 21, 2021 at 14:34	comment	added	username		If the constant $c$ is independent of $\epsilon$, then it should be true for all $\epsilon$. Indeed, given $\epsilon>0$, just take $f(n)= \sum_{k=0}^n a_k \sin (k\epsilon)$.
Apr 21, 2021 at 14:31	answer	added	Iosif Pinelis		timeline score: 3
Apr 21, 2021 at 14:28	comment	added	coco		For a specific $\epsilon\in(0,1)$.
Apr 21, 2021 at 14:26	comment	added	username		Do you mean: Assume that there is a function $f$ such that for all $n>0$ and all $\epsilon\in(0,1)$, $$\sum_{k=0}^n a_k \sin (k\epsilon) \geq f(n)$$ or do you mean that for a specific $\epsilon>0$, $$\sum_{k=0}^n a_k \sin (k\epsilon) \geq f(n)?$$
Apr 21, 2021 at 14:18	review	First posts
Apr 21, 2021 at 14:40
Apr 21, 2021 at 14:17	history	edited	Francesco Polizzi	CC BY-SA 4.0	deleted 26 characters in body
Apr 21, 2021 at 14:16	history	edited	coco	CC BY-SA 4.0	added 33 characters in body
Apr 21, 2021 at 14:04	history	asked	coco	CC BY-SA 4.0