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7 votes
0 answers
424 views

Techniques for solving Diophantine equations.

7 votes
4 answers
473 views

Elementary way to calculate the series $\sum\limits_{n=1}^{\infty}\frac{H_n}{n2^n}$

5 votes
1 answer
168 views

Closed form for $\int_0^1 \int_0^1 {(1-xy)}^n \, dx \, dy$

4 votes
2 answers
568 views

Is the sequence $\{\{\log(n!)\}\}_n$ dense in $[0,1]$?

3 votes
1 answer
607 views

Two families of holomorphic functions are normal.

3 votes
2 answers
143 views

If $a$ is the arithmetic function with $\sum_{d\mid n}a(d)=2^n$, then $n\mid a(n)$

3 votes
1 answer
152 views

Euler's transformation to derive that $\sum\limits_{n=1}^{\infty}\frac{1}{n^2}=\sum\limits_{n=1}^{\infty}\frac{3}{n^2\binom{2n}{n}}$

2 votes
1 answer
244 views

Riemann integral and an unbounded function

2 votes
0 answers
92 views

A Wiener-Ikehara variant with higher order poles

2 votes
0 answers
128 views

Theorem about eigenfunction of the Laplace operator $-\Delta$

2 votes
1 answer
399 views

$f$ holomorphic in unit disc and one-t0-one in punctured disc.

1 vote
0 answers
73 views

Size of prime factors of $\text{gcd}(n,\phi (n))$

1 vote
1 answer
53 views

Number of elements with order $2$

1 vote
0 answers
210 views

How to find the irreducible components of the following affine algebraic sets?

0 votes
1 answer
262 views

If $E \subset \mathbb R$ is Lebesgue measurable, does there exist a closed set $F\subset E :\ m(E)=m(F)$?

0 votes
1 answer
121 views

An integral inequality with cosine