Meetings:

• Thursday 3:15 in E005  (Michaelmas 08)
• Thursday 3:15 in PH8  (Epiphany 08)

Further reading (apart from the Wikipedia entry):

Jean-Pierre Serre: A course in Arithmetic

Neil Koblitz: p-adic numbers, p-adic analysis, and zeta-functions

Fernando Gouvea: p-adic numbers: an introduction

Andrew Baker: Online course notes

David Madore: Online notes (6pp, some explicit examples)

Wikipedia: Statement

Wikipedia: Proofs

G. Rousseau: On the Quadratic Reciprocity Law

Mathpages: Short statement with proof

Further reading

Don B. Zagier Newman's short proof of the prime number theorem