M. V. Hoeij

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math.NT2024

The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}{I ¨} $

Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye

In this work, we establish modular parameterizations for two general formulas for $\frac{1}{I ¨} $ that subsume conjectural Ramanujan type formulas due to Z.-W. Sun, which have remaine…

math.NT2024

Sporadic Cubic Torsion

Maarten Derickx, Anastassia Etropolski, Mark van Hoeij +2

Let $K$ be a number field, and let $E / K$ be an elliptic curve over $K$ . The Mordell--Weil theorem asserts that the $K$ -rational points $E (K)$ of $E$ form a finitely generated abeli…

The Modularity of Z.-W. Sun's Conjectural Formulas for I¨1​

Sporadic Cubic Torsion

The Modularity of Z.-W. Sun's Conjectural Formulas for $\frac{1}{I ¨} $