5 problems

Singular-parameter conjecture. Discounting the $\lambda_1=0$ term, the sequence satisfies: the sign of $\lambda_i$ is $(-1)^i$ for all $i>1$; the odd-indexed and even-indexed subse…

Basis conjecture. For any $0<\lambda<1$, the family

The simultaneous binary collision singularity in the planar four-body problem is considered, and block regularisation means an attempt to regularise this singularity by a block map…

Let $\gamma_1,\gamma_2,\ldots$ denote the positive imaginary parts of the non-trivial zeros of the Riemann zeta function, counted in the ordering used by the source, and let $t>0$.…

Discretisation-independence conjecture. As $\varepsilon\to0$, these two equations converge to the same limit. The conjecture proposes a limiting notion of solution for equations wh…