Computing the Rank of Elliptic Curves over Number Fields. - Denis Simon (LMS J. Comput. Math., 2002)

Solving norm equations in relative number fields using S-units. - Denis Simon (Math. Comput., 2002)

Solving quadratic equations using reduced unimodular quadratic forms. - Denis Simon (Math. Comput., 2005)

Selected Applications of LLL in Number Theory. - Denis Simon (The LLL Algorithm, 2010)

Explicit n-descent on elliptic curves III. Algorithms. - J. E. Cremona; Tom A. Fisher; Cathy O'Neil; Denis Simon; Michael Stoll (Math. Comput., 2015)

Power detection over number fields. - Karim Belabas; Denis Simon (Math. Comput., 2024)