Rosen is known for his textbooks, especially for the book with co-author Kenneth Ireland on number theory, which was inspired by ideas of
André Weil;[1] this book, A Classical Introduction to Modern Number Theory gives an introduction to
zeta functions of
algebraic curves, the
Weil conjectures, and the arithmetic of
elliptic curves.
with Kenneth Ireland: A classical introduction to modern number theory,
Springer,
Graduate Texts in Mathematics, 1982, 2nd edn. 1992,
ISBN038797329X (Rosen and Ireland earlier published Elements of number theory; including an introduction to equations over finite fields, Bogden and Quigley, 1972)[3]
Number theory in function fields, Springer, Graduate Texts in Mathematics, 2002,
ISBN0-387-95335-3[4]
Articles
Rosen, Michael (1997), "Remarks on the history of Fermat's last theorem 1844 to 1984", in Cornell, Gary; Silverman, Joseph H.; Stevens, Glenn (eds.), Modular forms and Fermat's last theorem: Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9–18, 1995, New York: Springer, pp. 505–525,
MR1638493