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8m

reviewed  Reviewed Expectation of product of cosines 
5h

reviewed  Close Using Excel's NormInv and Proportion Estimates for Monte Carlo 
5h

reviewed  Close Lower bound for sum of binomial coefficients without summation 
8h

answered  Estimate of the sum Taylor's coefficients 
11h

comment 
A lower bound on the $L^2$ norm of a Dirichlet polynomial
It's a bit unclear to me what you're looking for. For example, consider a smoothed version (smooth the sum over $n$) of the example (and use Poisson summation). Seems to me that can be very small for all $T\le t\le 2T$. 
20h

answered  A lower bound on the $L^2$ norm of a Dirichlet polynomial 
1d

reviewed  Close How to solve the following integral 
1d

comment 
Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
@GjergjiZaimi: That's a nice idea (using that if $n$ is missed then so are all numbers of the form $nr^3$)! One would have to check that the cubes don't form an arithmetic progression, which indeed happens for $p=7$. 
1d

comment 
Is every number the sum of two cubes modulo p where p is a prime not equal to 7?
In this case Hasse's theorem has a simpler proof: if one computes the number of points using additive characters you get $p2$ plus the contribution from the Gauss sums attached to the two characters of order exactly $3$. 
1d

awarded  Nice Answer 
Oct 22 
comment 
When are all sums of the elements of a set different?
In the additive combinatorics literature such sets are called ``dissociated". 
Oct 22 
reviewed  Leave Closed A problem of a hacked article 
Oct 22 
reviewed  Close Intuition behind $\zeta(2) = \frac{\pi^2}{6}$ 
Oct 21 
reviewed  Close Operations research and Linear Programming 
Oct 20 
reviewed  Leave Open Who first defined quantum integers? 
Oct 20 
comment 
Lower bound of first moment of $L$function on $\mathrm{GL}(3)$
Yes, this kind of lower bound in $t$aspect is trivial for any $L$function. The point is that you can approximate $L(\frac 12+it)$ by some long Dirichlet polynomial $\sum_{n\le T^{r}} a(n)n^{1/2it}$, say, with $a(1)=1$, and the $L$function coming from $GL(r)$, say. If you now integrate with smooth weights $L(1/2+it)$ (without absolute values), then note that only the term $n=1$ contributes. The rest of the terms cancel out and are negligible for smooth weights (rapid decay of Fourier transforms). So the bound $\gg T$ follows. 
Oct 19 
reviewed  Close is there an analogy between fractals and automorphic forms? 
Oct 19 
reviewed  Close Where can I find the classification of groups of order 8p? 
Oct 18 
reviewed  Close Bender's decomposition with overlapping y variables 
Oct 18 
revised 
Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
edited body 