# leshik

less info
reputation
1513
bio website location age member for 3 years, 3 months seen Dec 17 at 1:46 profile views 284

 14 How prove this function $f(x)=x!-x^n$ is injective 12 How prove that $x_1 = x_{2000}$ implies $x_2 \ne x_{1999}$, where $x_{n+2}=\frac{x_{n}x_{n+1}+5x^4_{n}}{x_{n}-x_{n+1}}$? 12 How many positive integer solutions to $a^x+b^x+c^x=abc$? 11 About the addition formula $f(x+y) = f(x)g(y)+f(y)g(x)$ 9 How prove this inequality: $\sum_{i,j=1}^{n}|x_{i}+x_{j}|\ge n\sum_{i=1}^{n}|x_{i}|$?

# 4,130 Reputation

 +10 Integer ordered pairs (x,y) satisfying $x^2 - y! = N$ +25 Bounding error of Padé approximation +15 Weaker Version of “Goldbach's Other Conjecture” +10 If $f(x)\to 0$ as $x\to\infty$ and $f''$ is bounded, show that $f'(x)\to0$ as $x\to\infty$

# 1 Question

 5 Binomial asymptotic.

# 79 Tags

 75 inequality × 22 28 sequences-and-series × 6 58 number-theory × 19 27 analysis × 10 43 real-analysis × 14 26 diophantine-equations × 5 42 elementary-number-theory × 11 20 polynomials × 9 41 calculus × 14 20 complex-analysis × 6

# 2 Accounts

 Mathematics 4,130 rep 1513 MathOverflow 116 rep 4