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Timeline for Oscillating sums II

Current License: CC BY-SA 4.0

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Nov 22, 2023 at 17:59 comment added Iosif Pinelis @coco : One can only answer the question that you actually posted. You may have had a number of additional, unstated conditions in mind, but nobody can read your mind, except yourself, can they? So I will ask you again: Is my answer not a correct and complete answer to your question -- just the way your question was actually stated? If you think the answer is not correct or complete, please let me know why you think so (without mentioning anything unstated in your post). (I do not need anyone to make me happy. I just would like them to be reasonable and fair.)
Nov 22, 2023 at 8:32 comment added coco So we never know, maybe someone can find an answer one day and i would be happy to hear the solution :)
Nov 22, 2023 at 8:32 comment added coco waw i'm impressed by the rapidity of your reaction. No it was not at all answering my question, i said ok to make you happy because this was just a tiny part of my research and i could not put the whole context to explain what are my a_k and b_k and \epsilon, etc. But no, my \epsilon is not 3\pi/4 and your example of a_k and b_k only differ in a_1 and b_1 which is also not my case. But of course i was not going to write a new post "Oscillating sums III" adding these facts, because you don't get that this was not just an exercise but part of my research :)
Nov 21, 2023 at 16:31 comment added Iosif Pinelis @coco : Why have you unaccepted this answer? Is it not a correct and complete answer to your post?
Apr 22, 2021 at 17:54 vote accept coco
Nov 21, 2023 at 16:09
Apr 22, 2021 at 12:13 comment added coco Yes, thank you for taking time to find a counter example.
Apr 22, 2021 at 11:41 comment added Iosif Pinelis @coco : I understand that you hoped to get positive answers to your questions. However, the answers, even though negative, seem correct and complete, and they may help you find the right conditions. So, to have a closure, are you satisfied with the answers in this sense?
Apr 22, 2021 at 8:58 comment added coco Thank you very much Iosif. This is not a good news for my calculation, I should find more hypothesis to have this lower bound.
Apr 21, 2021 at 21:15 history edited Iosif Pinelis CC BY-SA 4.0
added 385 characters in body
Apr 21, 2021 at 20:54 history answered Iosif Pinelis CC BY-SA 4.0