3 problems

0 votes0 replies0 views
Conjecture on the auxiliary denominators for the iterated integral of $\ln(1+x^2)$
Let $G_n(x)$ be the auxiliary polynomial introduced by expanding the expression for $A_{n,2}(x)$ , and let $\gamma_n$ be its denominator. Auxiliary-denominator conjecture. For…
Conjectureopendenominators iterated-integrals number-theoryarXiv posted 3 days ago
0 votes0 replies0 views
Conjecture on the denominators of the iterated integral of $\ln(1+x^2)$
Let $A_{n,2}(x)$ be the rational polynomial part of the $n$ th iterated integral in the $\ln(1+x^2)$ case, and let $\alpha_{n,2}$ be its denominator. Let $m\ge1$ be an integer. Deno…
Conjectureopendenominators iterated-integrals number-theoryarXiv posted 3 days ago
0 votes0 replies1 view
Conjecture on the denominator ratios of the iterated integral of $\ln(1+x^2)$
Let $A_{n,2}(x)$ be the rational polynomial part of the $n$ th iterated integral in the $\ln(1+x^2)$ case, let $\alpha_{n,2}$ be its denominator, and define … Here $p$ denotes a pri…
Conjectureopendenominators iterated-integrals number-theoryarXiv posted 3 days ago

Conjecture on the auxiliary denominators for the iterated integral of ln⁡(1+x2)\ln(1+x^2)ln(1+x2)