The Modularity of Z.-W. Sun's Conjectural Formulas for 1π
Abstract
In this work, we establish modular parameterizations for two general formulas for 1π that subsume conjectural Ramanujan type formulas due to Z.-W. Sun, which have remained open since 2011. As an application of this, in a conceptual way we interpret how Sun's conjectural formulas arise and can be verified, as well as recover other cases that were proved by Cooper, Wan and Zudilin.
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