M. V. Hoeij

activity

20022025

most citedIterated Elliptic and Hypergeometric Integrals for Feynman Diagrams

115 citations · 140 across the 12 of their papers we have counts for

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4 papers · 1 filter

math.NT2024

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

Mark van Hoeij, Wei-Lun Tsai, Dongxi Ye

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

math.NT2019

Computing an order complete basis for $M^{\infty} (N)$ and Applications

Mark van Hoeij, Cristian-Silviu Radu

This paper gives a quick way to construct all modular functions for the group $Γ_{0} (N)$ having only a pole at $τ = i \infty$ . We assume that we are given two modular functions $f, g$ …

math.NT2004

Solving conics over Q(t1,..,tk)

Mark van Hoeij

Let K = Q(t1,..,tk) and a,b,c in K. We give a simple algorithm to find, if it exists, X,Y,Z in K, not all zero, for which aX^2 + bY^2 + cZ^2 = 0.

math.NT2004★ 11 cited

Factoring polynomials over global fields

K. Belabas, M. van Hoeij, J. Klueners +1

Let K be a global field and f in K[X] be a polynomial. We present an efficient algorithm which factors f in polynomial time.

The Modularity of Z.-W. Sun's Conjectural Formulas for π1​

Computing an order complete basis for M∞(N) and Applications

Solving conics over Q(t1,..,tk)

Factoring polynomials over global fields

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

Computing an order complete basis for $M^{\infty} (N)$ and Applications