abc conjecture

短语

词形变化

abc conjectures 复数

别名

abc-conjecture

释义与例句

n.
  1. 1.

    Given coprime positive integers a, b and c, such that a + b = c, and d the radical of abc (the product of its distinct prime factors), the conjecture that d is usually not much smaller than c (in other words, that if a and b are divisible by large powers of primes, then c usually is not).

    数学

    1985, Paul Vojta, Appendix, Serge Lang, Introduction to Arakelov Theory, Springer, 1988 Softcover, page 156, Finally in §5 we give one application to the curve X⁴ + Y⁴ = Z⁴, showing that the height inequalities for the curve imply the asymptotic Fermat conjecture and a weak form of the Masser-Oesterlé abc''' conjecture.

  2. 2.

    Any of certain generalisations of the conjecture.

词源

From the names of the variables a, b, and c. The conjecture was proposed in 1985.

来源：wiktionary