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shadow10

An undergrad student at the Indian Statistical Institute, Kolkata. :) :)

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23 A game on a graph Jun 21 '14
21 A functional equation with no solution Nov 12 '14
16 An inequality on sequences with each term dividing sum of two neighbouring terms Jul 19 '14
13 A claim that a is a square Jan 9 '14
10 A Shapiro type inequality Jul 19 '14
10 $\text{lcm}(1,2,3,\ldots,n)\geq 2^n$ for $n\geq 7$ Jun 29 '14
10 prove $ab\in A$, if $A=\{x^3+y^3+z^3-3xyz\mid x,y,z\in \mathbb Z\}$, $a,b\in A$ Jul 6 '14
9 If the sum of cubes of $a,b,c,d$ is $1$, then $\frac{1}{1-bcd}+\frac{1}{1-cda}+\frac{1}{1-dab}+\frac{1}{1-abc}\le \frac{16}{3}$ Aug 10 '14
8 A question of rationality Apr 22 '14
8 If $P(x)-2^n$ has a rational root for each $n\in\mathbb{N}$, is $P$ linear? Jun 10 '14
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