Taekyo Lee
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### Questions (18)

 8 maximum of $f(x)=\sin{(\pi Ax)}\left(\,\csc{(\pi x)}+\csc{(\pi (\frac{1}{A}-x))}\,\right)$ 2 Jacobi symbol $\left(\frac{(n+1)/2}{n}\right)$ 2 Proof of $\frac{1}{\sin{(\frac{\pi}{2x})}}<\frac{2x}{\pi}+1$ 2 Proof of $X+\csc{\left(\frac{\pi}{X}\right)}>2\csc{\left(\frac{\pi}{2X}\right)}$ 1 when $\gcd{(a, tm)}=1$, we have $\gcd{(a+btm, tm^2)}=1$?

### Reputation (108)

 +10 Jacobi symbol $\left(\frac{(n+1)/2}{n}\right)$ +40 maximum of $f(x)=\sin{(\pi Ax)}\left(\,\csc{(\pi x)}+\csc{(\pi (\frac{1}{A}-x))}\,\right)$ +10 Proof of $\frac{1}{\sin{(\frac{\pi}{2x})}}<\frac{2x}{\pi}+1$ +5 when $\gcd{(a, tm)}=1$, we have $\gcd{(a+btm, tm^2)}=1$?

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### Tags (17)

 0 number-theory × 9 0 elementary-number-theory × 2 0 trigonometry × 7 0 exponential-sum 0 calculus × 7 0 finite-rings 0 inequality × 3 0 fourier-analysis 0 abstract-algebra × 2 0 algebraic-number-theory

### Account (1)

 Mathematics 108 rep 5