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7h
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 $\sum_{n\le T^{r}} a(n)n^{-1/2-it}$, 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.
18h
reviewed Close is there an analogy between fractals and automorphic forms?
19h
reviewed Close Where can I find the classification of groups of order 8p?
1d
reviewed Close Bender's decomposition with overlapping y variables
1d
revised Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
edited body
1d
reviewed Close Stronger than Gerretsen
1d
answered Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
1d
reviewed Leave Open Inequality for an integral involving $ \exp $, $ \sin $ and $ \cos $
2d
reviewed Close Inequality with five variables
2d
comment Is fourier analysis necessary to prove this?
For part 2 note that the term $x=0$ is $1$, and the rest of the terms are at least $-2 \sum_{n=1}^{\infty} e^{-\pi n^2} = -0.086\ldots$.
2d
reviewed Close How is constrained optimization done?
Oct
17
reviewed No Action Needed Strong Law of Large Numbers for arrays of random variables
Oct
16
reviewed Leave Open About the hypothesis of Zorn's lemma
Oct
16
reviewed Close Floating point evaluation with taylor series and matlab
Oct
16
answered Prime divisors of the respectively minimal binomial coefficients
Oct
15
reviewed Leave Open Why do $12$ and $120$ occur very often in the denominators of $\zeta(-n)$ for odd $n$?
Oct
15
comment Question about non trivial zeros of Riemann zeta function
Voting to close as equivalent to RH. Use $\sum_n z^n/n=-\log(1-z)$.
Oct
15
reviewed Leave Closed Sum of n independent F distribution random variables
Oct
15
reviewed Close Oddify an even function and vice versa: need a Fourier transform-based formula
Oct
14
reviewed Close Proving that Riesz map is bijection