Sameer Kailasa's user avatar
Sameer Kailasa's user avatar
Sameer Kailasa's user avatar
Sameer Kailasa
  • Member for 10 years, 2 months
  • Last seen more than a month ago
39 votes

A Gift Problem for the Year 2018

21 votes
Accepted

How do I solve this improper integral: $\int_{-\infty}^\infty e^{-x^2-x}dx$?

20 votes

Equation with solution in prime numbers

17 votes
Accepted

Putnam 2007 A5: Finite group $n$ elements order $p$, prove either $n=0$ or $p$ divides $n+1$

17 votes

Prove that the Lie derivative of a vector field equals the Lie bracket: $\frac{d}{dt} ((\phi_{-t})_* Y)|_{t=0} = [X,Y]$

16 votes
Accepted

"Length" of rationals in an interval

16 votes
Accepted

any $2$-dimensional rep of a finite, non-abelian simple group is trivial

15 votes
Accepted

Rows of a Matrix is divisible by 19, show that its Determinant is also divisible by 19

10 votes
Accepted

Prove series form of fractional harmonic numbers

10 votes
Accepted

Solve $\int_{0}^{1} \log(x)\log(1-x) dx$ without convolution

9 votes

Reference request for Geometric Group Theory

9 votes

Prove that if V is finite dimensional then V is even dimensional?

9 votes
Accepted

Sequence of non-constant integer polynomials whose limit is constant

8 votes

Group theory question. If $m$ and $n$ are relatively prime, and $a$, $b$ belong to group and $a^m = b^m$ and $a^n = b^n$, how would one prove $a = b$?

8 votes

Prove that a martingale bounded in $L_2$ converges almost surely

8 votes
Accepted

Name for Theorem 3.27 from baby Rudin?

7 votes

Prove that $n$ divides $\phi(a^n-1)$, where $\phi$ is Euler's $\phi$-function.

7 votes

Proving Binomial Identity without calculus

7 votes
Accepted

Best way to show $\cfrac{1}{1+x^2}$ is a contraction?

6 votes
Accepted

Prove if $A$ is a symmetric matrix with real entries, then the eigenvalues of $A$ are real.

6 votes

Prove that every convergent sequence has a monotone subsequence

6 votes

$2^b-1$ does not divide $2^a+1$,how can I show it?

6 votes

Question on series till 2009

6 votes
Accepted

Given $\frac{(a-b)(b-c)(a-c)}{(a+b)(b+c)(c+a)}=\frac{1}{11}$. Find $\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}.$

6 votes

British Maths Olympiad (BMO) 2002 Round 1 Question 3 Proof without Cauchy-Schwarz?

5 votes
Accepted

Is There any quasi-isomorphism between $\mathbb{R}$ and $\mathbb{R}^2$?

5 votes

calculate $\int_0^\pi\frac {dx}{1+\sin^2x}$

5 votes
Accepted

How many $k$ tuples of subsets $S_1,...,S_k$ are there such that $S_1 \cap ..... \cap S_k = \emptyset $.

5 votes

Variance of Brownian Bridge

5 votes
Accepted

Expected value of number of steps until range reduced to a given fraction

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