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Kirill's user avatar
Kirill's user avatar
Kirill
  • Member for 13 years
  • Last seen more than 2 years ago
5 votes
1 answer
190 views

Closed form of a "harmonic" alternating dilogarithm sum

6 votes
0 answers
268 views

Integral of a product of five Bessel functions of order $0$

2 votes
0 answers
200 views

Asymptotics of inverse Laplace transform of a function with an essential singularity?

6 votes
1 answer
499 views

Rational map of a curve to an elliptic curve

3 votes
0 answers
125 views

Gaps between roots of trigonometric polynomials?

29 votes
1 answer
1k views

Approximate value of a slowly-converging sum of $\sum|\sin n|^n/n$

1 vote
0 answers
30 views

Choosing a rational approximation from irreducible fractions

4 votes
0 answers
176 views

Computing an integral basis of an algebraic function field, $y^4-2zy^2+z^2-z^4-z^3=0$.

3 votes
1 answer
1k views

An example of Risch algorithm for integrating $y$, $F(x,y)=0$.

5 votes
1 answer
449 views

Modified Pell equation: $x^2-D y^2 = m$, $m\neq1$.

2 votes
0 answers
149 views

Count number of positive integer solutions of $x^2(8x-3)=y^2z$?

12 votes
1 answer
2k views

Is the $n$-th prime smaller than $n(\log n + \log\log n-1+\frac{\log\log n}{\log n})$?

18 votes
5 answers
713 views

Integral of polylogarithms and logs in closed form: $\int_0^1 \frac{du}{u}\text{Li}_2(u)^2(\log u)^2$

6 votes
2 answers
165 views

Integral of two logs and a power: $\int_0^1 u^c \log(1-au)\log(1-bu)\,\mathrm du$

5 votes
1 answer
288 views

Limit of an integral related to the beta function: $\int_0^1 \frac{v^\beta\,dv}{1-z v}\log\frac{1-v z}{1-v}$.

15 votes
1 answer
473 views

Does this integral have a closed form: $\int_0^1 \frac{x^{\beta-1}}{1-x}\log\frac{1-y x^\delta}{1-y}\mathrm dx$?