Μάρκος Καραμέρης

 18 Are there primes arbitrarily close to powers? 7 How to solve $y^3=x(x+1)$ where $x$ and $y$ are integers? 6 Prove that there are 3 girls and 3 boys such that either they know or they don't know each other 6 Proving that $H\cap K = \{e_G\}$ given $|H|=3$ and $|K|=5$ 4 Showing $K(\sqrt \alpha)/F$ is Galois if and only if $\sigma(\alpha)/\alpha$ is a unit and a square.

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### Questions (7)

 4 Divisor proof of the Fundamental Theorem of Algebra 3 Weak convergence in reflexive space is equivalent to singleton intersection of the convex hulls 2 Khintchine's Inequality variant 2 Basic sequence weak convergence implies convergence in norm 2 Inequality involving the measure of $\displaystyle\limsup_{n\to\infty}(\{x\in{}X:|f_n(x)|\geq{}a/2\})$

### Tags (102)

 29 number-theory × 9 10 group-theory × 2 18 prime-numbers 9 combinatorics × 3 17 elementary-number-theory × 6 7 complex-analysis × 7 14 abstract-algebra × 6 7 proof-writing × 3 11 gcd-and-lcm × 2 7 diophantine-equations × 2

### Bookmarks (11)

 21 How to prove the sequence $\{a_n\}$ is unbounded, which satisfies the recurrence relation $a_{n+1}=\ln |a_n|$? 20 can one order the elements of a finite group such that their product is equal to the first element in the list? 20 Prove that $\sum\limits_{i=1}^{n} a_i\geq n^2$. 11 Prove there exists $[a,b] \subset [0,1]$ such that $\int_a^b f(x)\,dx=\int_a^b g(x)\,dx=\frac{ 1}n$ [duplicate] 8 Does there exist a positive integer $m$ and two increasing positive integer sequences is a finite set?

### Accounts (2)

 Mathematics 1,534 rep 77 silver badges2020 bronze badges MathOverflow 101 rep 22 bronze badges