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Sep
1
revised Show that $\int_{\mathbb{R}^n}f_1f_2 …f_n dx_1 …dx_n ≤ (I_1 …I_n)^{1/(n−1)}.$
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Sep
1
revised Show that $\int_{\mathbb{R}^n}f_1f_2 …f_n dx_1 …dx_n ≤ (I_1 …I_n)^{1/(n−1)}.$
added 165 characters in body
Sep
1
revised Show that $\int_{\mathbb{R}^n}f_1f_2 …f_n dx_1 …dx_n ≤ (I_1 …I_n)^{1/(n−1)}.$
added 165 characters in body
Sep
1
revised Show that $\int_{\mathbb{R}^n}f_1f_2 …f_n dx_1 …dx_n ≤ (I_1 …I_n)^{1/(n−1)}.$
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Aug
31
answered Show that $\int_{\mathbb{R}^n}f_1f_2 …f_n dx_1 …dx_n ≤ (I_1 …I_n)^{1/(n−1)}.$
Aug
29
answered Integral of two logs and a power: $\int_0^1 u^c \log(1-au)\log(1-bu)\,\mathrm du$
Aug
24
accepted Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
Aug
23
revised Show that $u(t) \leq u(a) e^{\int_a^t f(s) ds}$
added 18 characters in body
Aug
23
revised Proving these trigonometric sums $\sum\limits_{k=0}^{n-1}\sin\frac{2k^2\pi}{n}=\frac{\sqrt{n}}{2}\left(\cos\frac{n\pi}{2}-\sin\frac{n\pi}{2}+1\right)$
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Aug
23
answered Proving these trigonometric sums $\sum\limits_{k=0}^{n-1}\sin\frac{2k^2\pi}{n}=\frac{\sqrt{n}}{2}\left(\cos\frac{n\pi}{2}-\sin\frac{n\pi}{2}+1\right)$
Aug
23
comment Proving these trigonometric sums $\sum\limits_{k=0}^{n-1}\sin\frac{2k^2\pi}{n}=\frac{\sqrt{n}}{2}\left(\cos\frac{n\pi}{2}-\sin\frac{n\pi}{2}+1\right)$
@DavidH perhaps he is looking for more details
Aug
23
answered Check existence of limit
Aug
23
awarded  Self-Learner
Aug
22
comment Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
In arXiv:math-ph/9804010, $\sum (n^2 + \tfrac{n}{2})^{-1}$ by turning it into an integral, just as you described.
Aug
22
comment Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
@JackD'Aurizio No I haven't. My proof extends to $L(2k,\chi_1)= (1 - \tfrac{1}{3^{2k}})\zeta(2k)$ but in the odd case, I am trying to add $$ L(1, \chi_2)= \sum \frac{1}{9n^2 + 9n + 2} $$ This type of problem has appeard on Math.SE I think.
Aug
22
answered Show that $u(t) \leq u(a) e^{\int_a^t f(s) ds}$
Aug
22
revised Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
added 144 characters in body
Aug
22
answered Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
Aug
22
asked Analogue of $\zeta(2) = \frac{\pi^2}{6}$ for Dirichlet L-series of $\mathbb{Z}/3\mathbb{Z}$?
Aug
22
revised Geometric interpretation of an integral inequality
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