lab bhattacharjee
Reputation
124,984
989/1000 score
 Apr18 revised Proving a complicated identity added 152 characters in body Apr17 revised How to solve this complex logarithm equation? added 337 characters in body Apr15 revised How to sum $\sum_{k=1}^n (k+1)(k)(k-1)$ added 317 characters in body Apr12 revised Limit w/o L'hopital added 65 characters in body Apr12 revised Let $a$ be a quadratic residue modulo $p$. Prove that the number $b\equiv a^\frac{p+1}{4} \mod p$ has the property that $b^2\equiv a \mod p$. added 107 characters in body Apr11 revised Evaluating indefinite integral using substitution added 66 characters in body Apr11 revised Solve $\frac{(x-1)^{204}(x+3)^5(x-4)^{2015}}{(x+5)^{102}}\ge 0$ added 88 characters in body Apr11 revised Find $f$ if $f ''' (x) = \sin(x), f(0) = 4, f '(0) = -5, f ''(0) = -9$ added 1 character in body Apr10 revised Where does this equation come from: $(1+mx)^n = 1 + \sum_{n=1}^{\infty} {\binom{2n}{n} \over 4^n } x^n$ added 4 characters in body Apr9 revised Summation of $\frac {n^a}{n!}$ added 124 characters in body Apr9 revised What is $\tan \alpha$ if $\sin \alpha + \cos \alpha = \frac{\sqrt{3}-1}{2}$ and $\alpha \in (90^\circ,135^\circ)$ added 306 characters in body Apr8 revised Find the last three digits of $17^{256}$ added 249 characters in body Apr8 revised Sum of coefficients in an multinomial expression. added 30 characters in body Apr7 revised Integrate with which technique added 4 characters in body Apr6 revised How to prove that $\sum_{k=1}^{n-1} \frac{1}{1-e^{2 \pi i k/n}} = \frac{n-1}{2}$? added 106 characters in body Apr4 revised Find $3^{2015} + 7^{2015}\bmod50$ added 253 characters in body Apr4 revised If $n$ is a positive integer such that $2^n+n^2$ is a prime number , then is it true that $6|n-3$ ? added 255 characters in body Apr3 revised $x^3-3x^2+(a^2+2)x-a^2$ has 3 roots $x_1,x_2,x_3$ such that $\sin \tfrac{2\pi x_1}{3}+\sin \tfrac{2\pi x_3}{3}=2\sin \tfrac{2\pi x_2}{3}$. Find $a$. added 134 characters in body Apr2 revised Find all values of $x$, linear and quadratic functions added 40 characters in body Apr1 revised Proving $\sum\limits_{k=1}^{2n} {(-1)^k \cdot k^2}=(2n+1)\cdot n$ for all $n\geq 1$ by induction added 168 characters in body