- Amlaíb mac Ilduilb is the Mediaeval Gaelic form. The modern form has no patronymic; this is because the name Ildulb ("Indulf") has died out in Gaelic, and there is no modern rendering of it.
- Duncan, pp. 21–22.
- Amlaíb appears as Olaf in Smyth, pp. 220–221, table 4, where he is presumed to have been co-ruler with Kenneth II.
- Annals of Tigernach, s.a. 977.4. See also Chronicon Scotorum, s.a. 977; Annals of Clonmacnoise, s.a. 970.
- The Annals of Ulster, s.a. 977, agree with the other chronicles in reporting Amlaíb's death, but call his killer Cináed mac Domnaill. Cináed mac Maíl Coluim's grandfather was named Domnall.
- Early Sources, pp. 478–479.
- There are two king lists which list a 22-year reign for Kenneth rather than the 24 found in the majority, but whether this has any significance is unclear; Duncan, p. 18.
- Woolf (2007), p. 206.
For primary sources see also External links below.
- 艾伦·奥尔·安德森, Early Sources of Scottish History A.D 500–1286, volume 1. Reprinted with corrections. Paul Watkins, Stamford, 1990. ISBN 1-871615-03-8
- Duncan, A.A.M., The Kingship of the Scots 842–1292: Succession and Independence. Edinburgh University Press, Edinburgh, 2002. ISBN 0-7486-1626-8
- Smyth, Alfred P. Warlords and Holy Men: Scotland AD 80-1000. Reprinted, Edinburgh: Edinburgh UP, 1998. ISBN 0-7486-0100-7
- Woolf, Alex, From Pictland to Alba, 789–1070, The New Edinburgh History of Scotland 2, Edinburgh: Edinburgh University Press, 2007, ISBN 978-0-7486-1234-5
- CELT: Corpus of Electronic Texts at University College Cork includes
- The Annals of Clonmacnoise at Cornell University