[2] With Haakon Waadeland [no], Lorentzen is the author of the book Continued Fractions with Applications (Studies in Computational Mathematics 3, North-Holland, 1992; 2nd ed., Atlantis Studies in Mathematics for Engineering and Science, Springer, 2008).
[3] She is also the author of two textbooks in Norwegian: Kalkulus for ingeniører [Calculus for engineers] and Hva er matematikk [no] [What is mathematics?
],[4][5] and co-author with Arne Hole and Tom Louis Lindstrøm of Kalkulus med én og flere variable [Calculus with single and multiple variables].
Lorentzen is a member of the Royal Norwegian Society of Sciences and Letters.
[6] She was the 1986 winner of the academic prize of the Royal Norwegian Society of Sciences and Letters.