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Birch and Swinnerton-Dyer Conjecture
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Legendre _ Polynomial Of The Birch and Swinnerton- Dyer Conjecture
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Legendre_Polynomial -210122121927
1.
The Legendre Polynomial
Of The Birch and Swinnerton- Dyer Conjecture Gregory M. Prew 8/20/2015
2.
L(C,s) = c(s-1)r s=1,
r=2, & c≠0 = c(s-1)(s-1) = c(s2 -2s+1) (1-s2 )y´´(s) - 2sy´(s) + λ y(s) = 0 ∞ y1 = c0 + ∑ c2ks2k k=1 λ = n(n+1) = 2(2+1) = 6 cn = (2n)! 2n (n!)2 y1 = 1+ 3/2 (1)2 + 4.375 (1)4 +…+cnsn
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