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Timeline for Sum of trigonometric functions

Current License: CC BY-SA 3.0

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Nov 6, 2011 at 21:18 answer added Noam D. Elkies timeline score: 6
Oct 28, 2011 at 9:05 comment added david I need to show that the maximum occur at β=0,π or β=π/2 according as m is odd or even as observed by Noam D. Elkies
Oct 28, 2011 at 8:59 history edited david CC BY-SA 3.0
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Oct 28, 2011 at 8:52 history edited david CC BY-SA 3.0
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Oct 28, 2011 at 8:43 history edited david CC BY-SA 3.0
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Oct 28, 2011 at 0:25 answer added Noam D. Elkies timeline score: 15
Oct 27, 2011 at 22:09 comment added Kevin O'Bryant Would you need an upper or a lower bound on the maximum, or are you needing the $\beta$ where the max is achieved?
Oct 27, 2011 at 17:06 comment added Thierry Zell It appears non-trivial: I've played a bit with it in Mathematica and it could not simplify it. If there is an obvious (and even not-so-obvious) trick, Mathematica usually finds it.
Oct 27, 2011 at 15:43 history reopened user9072
Emil Jeřábek
François G. Dorais
Oct 27, 2011 at 15:25 history edited david CC BY-SA 3.0
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Oct 27, 2011 at 15:13 comment added david If instead of 1+2m we put 2m, then the sum becomes a constant function in \beta. I need to find the maximum of f(\beta). It seems that the maximum is in 0 or in \pi/2, but I cannot prove it. I need it for an open problem of Maz'ya. My email is [email protected]
Oct 27, 2011 at 14:48 comment added Emil Jeřábek Meta thread: tea.mathoverflow.net/discussion/1186/trigonometric-sum-question .
Oct 27, 2011 at 13:49 comment added Emil Jeřábek I admit I must have made the slip, too, since now I can’t see how to do it either.
Oct 27, 2011 at 5:53 comment added David Roberts After Todd asked me, I had a try at this, and there is an easy slip one can make that turns this into a trivial sum. Having avoided this slip, there may be a trick that makes this easy, but I can't see it. @david - in what context did this sum arise?
Oct 26, 2011 at 21:30 history closed Andrés E. Caicedo
Emil Jeřábek
Will Jagy
David Roberts
Gerry Myerson
off topic
Oct 26, 2011 at 14:51 history asked david CC BY-SA 3.0