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Shubhodip Mondal

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439 reputation
27
bio website artofproblemsolving.com/Forum/…
location India
age 17
visits member for 1 year
seen yesterday
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I'm an undergraduate mathematics student at the Indian Statistical Institute.
439 reputation
 bio website artofproblemsolving.com/Forum/… visits member for 1 year
27 badges
 location India seen yesterday
summary answers questions tags badges favorites bounties reputation activity

9 Answers

newest activity votes
7
Show that a polynomial is irreducible in $\mathbb{Q}$
5
limit of $\frac{(2n)!}{4^n(n!)^2}$
4
Show $\vert G \vert = \vert HK \vert$ given that $H \trianglelefteq G$, $G$ finite and $K \leq G$.
3
$p$ an odd prime, $p \equiv 3 \pmod 8$. Show that $2^{(\frac{p-1}{2})}*(p-1)! \equiv 1 \pmod p$
2
Show that the sequence $(\frac{2^n}{n!})$ has a limit.
2
Am I correct if I say $\lim_{n\rightarrow\infty}\sum_{k=1}^n\frac{\sqrt{k}}{(k+1)^2}$ converges?
2
$G$ group, $H \trianglelefteq G$, $\vert H \vert$ prime, Prove $H \leq Z(G)$,
1
Every residue class $\pmod{2^a}$ can be written as $\pm 5^r$ for some $r$
1
Show group of order $4n + 2$ has a subgroup of index 2.
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