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Mathoverflow.net news digest

  • 0 days

    Proposing a Nuanced Policy on AI Tools: Allowing AI for Synthesis, Proofreading,...

    While I fully understand and support the community's strict ban on completely AI-generated content (to prevent low-quality spam and hallucinated proofs), I would like to propose a discussion regarding a more nuanced policy on how users interact with...

  • 0 days

    Normality of $(1-\sum_{a\in A}2^{-a})^{-1}$ for infinite primitive subsets of $A...

    Let $\mathcal P$ denote the set of prime numbers, and consider
    $N =\frac{1}{1-\displaystyle\sum_{p\in\mathcal P}2^{-p}}$
    Numerically, the binary expansion of $N$ appears to behave like that of a base-$2$ normal number. For example, among the first $10^6$ binary digits, the frequencies of $0$ and $1$, and more generally of short binary blocks, are close to the frequencies...

  • 2 years

    Chinese remainder theorem for target interval

    Given $n$ pairwise coprime natural numbers $m_{1}, \dots, m_{n}$ with remainders $y_{i}$, for all $i \leq n$. Furthermore, we have a target interval $I := \left[ a, b \right]$, with $1 \leq a < b \leq M$, $M := \prod_{i = 1}^{n} m_{i}$.
    The task is, to find all tuples $T := \left(y_{1}, \dots, y_{n}\right)$ such that...

  • 4 years

    Infinite dimensional involutions: infinitely large sets of multivariate polynomi...

    Examples of infinite dimensional involutions
    Edit 2/25/23, as suggested by YCOR below: (Start)
    The first return on a Google search on involution--from late Latin 'a rolling up'--gives the Oxford language definition of involution as

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