user avatar
user avatar
user avatar
Siddhant Trivedi
  • Member for 10 years, 3 months
  • Last seen more than a month ago
16 votes

Prove that the additive group $ℚ$ is not isomorphic with the multiplicative group $ℚ^*$.

11 votes
Accepted

Prove that $a_n = \{\left(1+\frac{1}{n}\right)^n\}$ is bounded sequence, $ n\in\mathbb{N}$

7 votes

Show that $a^{\phi(b)}+b^{\phi(a)} \equiv 1 (\text{mod }ab)$ , if a and b are relatively prime positive integers.

5 votes

CRT + Fermat's Little Theorem

4 votes

What is the remainder of dividing $14^{256}$ by $17$?

3 votes
Accepted

Prove that $G$ is the internal direct product of $H$ and $K$

3 votes

Can this be the class-equation of a finite group $G$ of order 10?

2 votes

Prove that a group of order $2^5 \cdot 7^5$ is not simple

2 votes

Elements of order 5 in $S_7$, odd permutations of order 4 in $S_4$, and find a specific permutation in $S_7$

2 votes

Help with PDE $xu_x+yu_y=2u$

2 votes

$f(x)=e^{|x|+x^2} +|x^2-1|$ is differentiable at $0,-1,1,2$?

2 votes

Find $\mathrm{Aut}(G)$, $\mathrm{Inn}(G)$ and $\mathrm{Aut}(G)/\mathrm{Inn}(G)$ for $G = D_4$

2 votes

Radius of convergence of power series or geometric series

1 vote

limits of the sequence $n/(n+1)$

1 vote

How to find $ \lim\limits_{ x\to 100 } \frac { 10-\sqrt { x } }{ x-100 }$

1 vote

Closed subsets $A,B\subset\mathbb{R}^2$ so that $A+B$ is not closed

1 vote

$2^{q-1}\equiv 1\pmod{q}.$

1 vote

Integral test for convergence

1 vote

Prove by induction that $ 1^2+2^2+...+(n-1)^2<n^3/3<1^2+2^2+...+n^2 $

1 vote

Polynomial division

1 vote

For which of $m \in \{5, 6\}$ is $\mathbb Z/m\mathbb Z$ a field?

1 vote
Accepted

Prove that $|x|\to | l |$

1 vote

Help to understand and complete a proof by induction, $a^n < b^n$

1 vote

How to find $\sqrt{1+{4\over x}+{4\over x^2} }$?

1 vote
Accepted

How to find $\sqrt{1+{4\over x}+{4\over x^2} }$?

1 vote

Identifying a quotient group (NBHM-$2014$)

1 vote
Accepted

Integration: How to decide which formula to use?

1 vote

$A$ be a real symmetric non-singular matrix. Then which of the following is true?

0 votes

Integral of $(3-x)/(x+2)$

0 votes

Evaluate $\oint_C\frac{dz}{z-2}$ around the circle $|z-2| = 4$