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Apr 15, 2017 at 4:29 comment added U Ser Ok, I will check more closely for a couple of days/weeks and I will state more specifically. Right now, I am unable to clarify certain things and I am not entirely sure this will work. Thanks all the same.
Apr 15, 2017 at 4:24 comment added reuns Really it is hard to help if you don't say the bound you need.. There are a lot of non-trivial bounds for those partial sums in the critical strip
Apr 15, 2017 at 4:06 comment added U Ser Ok thanks. I will try to adapt it. It occurs in another sum I want to estimate, and if I have a good bound for this, I hope I can have a nontrivial bound for the "other" sum. It is a bit technical I cannot say it in detail. The above trivial bound happens to be a bit too weak for my purpose.
Apr 15, 2017 at 4:00 comment added reuns You can adapt it to partial sums. What do you want to do with those bounds ?
Apr 15, 2017 at 3:58 comment added U Ser Thanks. What I want is a nontrivial upper bound in terms of the three parameters $q,X,t$.
Apr 14, 2017 at 22:34 comment added reuns It depends on what you want to do ? With this elementary method you'll get $\mathcal{O}(t^{1/2+\epsilon})$. Using convexity you'll get $\mathcal{O}(t^{1/4+\epsilon})$
Apr 14, 2017 at 12:50 history edited U Ser CC BY-SA 3.0
log (q) omitted by mistake
Apr 14, 2017 at 12:40 history asked U Ser CC BY-SA 3.0