A solution of Sun ’ s $ 520 challenge concerning 520 π
نویسندگان
چکیده
We prove a Ramanujan-type formula for 520/π conjectured by Sun. Our proof begins with a hypergeometric representation of the relevant double series, which relies on a recent generating function for Legendre polynomials by Wan and Zudilin. After showing that appropriate modular parameters can be introduced, we then apply standard techniques, going back to Ramanujan, for establishing series for 1/π.
منابع مشابه
A Complete Bibliography of Publications in Canadian Journal of Mathematics = Journal canadien de mathématiques for the decade 1960–1969
(0, 1) [84, 164, 227, 207, 267, 418]. (1, 1) [74]. (C, 1) [442]. (C, γ, μ) [369]. (f, dn) [388, 993]. (x, y, z) = (y, z, x) [778]. (Z, p) [330]. 0 [863, 934]. 1 [789]. 2 [978, 459, 422, 878, 802]. 3 [245]. 4× n [660]. 5 [626]. 52 [987]. [5] [452]. [F, dn] [993, 60, 240]. [J, f(x)] [366]. ABA [138]. α [161, 606]. C(X) [725]. C(H) [154]. D [925]. P [591]. D [520, 600]. D(X) [906]. e [712]. E [819...
متن کاملde mathématiques for the decade 1960 – 1969
(0, 1) [84, 164, 227, 207, 267, 418]. (1, 1) [74]. (C, 1) [442]. (C, γ, μ) [369]. (f, dn) [388, 993]. (x, y, z) = (y, z, x) [778]. (Z, p) [330]. 0 [863, 934]. 1 [789]. 2 [978, 459, 422, 878, 802]. 3 [245]. 4× n [660]. 5 [626]. 52 [987]. [5] [452]. [F, dn] [993, 60, 240]. [J, f(x)] [366]. ABA [138]. α [161, 606]. C(X) [725]. C(H) [154]. D [925]. P [591]. D [520, 600]. D(X) [906]. e [712]. E [819...
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