This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.

Essays into numerous aspects of the Domesday Book, shedding fresh light on its mysteries. Compiled from the records of a survey of the kingdom of England commissioned by William the Conqueror in 1085, Domesday Book is a key source for the history of England. However, there has never been a critical edition of the textand so, despite over 200 years of intense academic study, its evidence has rarely been exploited to the full. The essays in this volume seek to realize the potential of Domesday Book by focussing on the manuscript itself. There are analyses of abbreviations, letter forms, and language; re-assessments of key sources, the role of tenants-in-chief in producing them, and the nature of the Norman settlement that their forms illuminate; a re-evaluation of the data and its referents; and finally, fresh examinations of the afterlife of the Domesday text and how it was subsequently perceived. In identifying new categories of evidence and revisiting old ones, these studies point to a better understanding of the text. There are surprising insights into its sources and developing programme and, intriguingly, a system of encoding hitherto unsuspected. In its turn the import of its data becomes clearer, thereby shedding new light on Anglo-Norman society and governance. It is in these terms that this volume offers a departure in Domesday studies and looks forward to the resolution of long-standing problems that have hitherto bedevilled the interpretation of an iconic text. David Roffe and K.S.B. Keats-Rohan are leading Domesday scholars who have published widely on Domesday Book and related matters. Contributors: Howard B. Clarke, Sally Harvey, K.S.B. Keats-Rohan, Andrew Lowerre, John Palmer, David Roffe, Ian Taylor, Pamela Taylor, Frank Thorn, Ann Williams.

Essays into numerous aspects of the Domesday Book, shedding fresh light on its mysteries. Compiled from the records of a survey of the kingdom of England commissioned by William the Conqueror in 1085, Domesday Book is a key source for the history of England. However, there has never been a critical edition of the textand so, despite over 200 years of intense academic study, its evidence has rarely been exploited to the full. The essays in this volume seek to realize the potential of Domesday Book by focussing on the manuscript itself. There are analyses of abbreviations, letter forms, and language; re-assessments of key sources, the role of tenants-in-chief in producing them, and the nature of the Norman settlement that their forms illuminate; a re-evaluation of the data and its referents; and finally, fresh examinations of the afterlife of the Domesday text and how it was subsequently perceived. In identifying new categories of evidence and revisiting old ones, these studies point to a better understanding of the text. There are surprising insights into its sources and developing programme and, intriguingly, a system of encoding hitherto unsuspected. In its turn the import of its data becomes clearer, thereby shedding new light on Anglo-Norman society and governance. It is in these terms that this volume offers a departure in Domesday studies and looks forward to the resolution of long-standing problems that have hitherto bedevilled the interpretation of an iconic text. DAVID ROFFE and K.S.B. KEATS-ROHAN are leading Domesday scholars who have published widely on Domesday Book and related matters.