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Mathoverflow.net news digest

  • 0 days

    Factorization of Fibonacci polynomial

    Let $F_N(x)$ be the $N$-th order Fibonacci polynomial in GF(2). I conjecture that $F_{6M+3}(x)=(x^2+1)G^2_1(x)...G^2_K(x)$ where $G_k(x)$ are distinct irreducible factors.
    Example: $F_{15}(x)=(x^2+1)(x^2+x+1)^2(x^4+x^3+1)^2$
    I tried to prove it but made no progress. I also looked at some literature:...

  • 9 months

    Explanation of an unpublished fragment of Gauss on a general solution of the sur...

    [This question was previously posted on Mathematics Stack Exchange and had been closed for some weeks because it was too broad. After focusing my question, it was reopened, but still received no comment. I thought there was a better chance of getting...

  • 11 years

    Compact, densely ordered spaces

    During my work with order preserving homeomorphisms, I got interested in the double arrow space and, subsequently, in the lexicographic square. I would really like to find examples of spaces like these two.Specifically, I am looking for a space $X$ with...

  • 0 days

    Uniform connection coefficient for a perturbed Bessel-3/2 equation with a large ...

    I am looking for the right rigorous tool (or a reference theorem) to control a boundarylog-derivative of a perturbed ODE uniformly in a large parameter, to an order well belowthe leading asymptotics. The model below is self-contained; it arises in a...

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