Dongxi Ye

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math.NT2026

Quadratic irrational analogues of Ramanujan's series for $1/ I ¨ $

John M. Campbell, Shaun Cooper, Dongxi Ye

About 40 years ago Jonathan and Peter Borwein discovered the series identity $n = 0 \sum \infty \frac{( - 1 ) ^{n} ( 6 n )!}{( 3 n )! ( n ! ) ^{3}} \frac{( A + n B )}{C ^{n + 1/2}} = \frac{1}{12 I ¨ }$ where…

math.NT2024

Supercongruences via Beukers' method

Zhi-Hong Sun, Dongxi Ye

Recently, using modular forms F. Beukers posed a unified method that can deal with a large number of supercongruences involving binomial coefficients and ApÃ©ry-like numbers. In th…

Quadratic irrational analogues of Ramanujan's series for 1/I¨

Supercongruences via Beukers' method

Quadratic irrational analogues of Ramanujan's series for $1/ I ¨ $