Buell, D. A. (ed.) et al., Computational perspectives on number theory. Proceedings of a conference in honor of A. O. L. Atkin, Chicago, IL, USA, September 1995. Providence, RI: American Mathematical Society. AMS/IP Stud. Adv. Math. 7, 159-178 (1998).
A connected regular graph of degree
is said to be a Ramanujan graph if all its eigenvalues (other than
) have modulus at most
. The author constructs some new Ramanujan graphs using the arithmetic of quaternion algebras, Hecke operators and modular forms.
|05C50||Graphs and linear algebra|
|05C25||Graphs and abstract algebra|