Birch and Swinnerton-Dyer Conjecture

Discussion in 'Number Theory' started by DmitriMartila777, Apr 23, 2022.

  1. DmitriMartila777


    Apr 23, 2022
    Likes Received:
    To cite from the Clay Mathematics Institute description of millennium problems [],

    "this amazing conjecture asserts that if zeta(1) is equal to 0, then there are an infinite number of
    rational points (solutions), and conversely, if zeta(1) is not equal to 0,
    then there is only a finite number of such points.''

    If \zeta(1) is not 0, then there is a finite number S of such points from 0<S<infinity. But the
    S is not limited: 1,2,3,4,....,infinity; hence, it is infinity as maximum. But an infinite
    number of points must have zeta(1)=0, i.e., even if zeta(1) is not 0,
    there is zeta(1)=0.

    I came to a contradiction.
    More in:
    DmitriMartila777, Apr 23, 2022
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