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Product Details
This is Volume 7 in Springer's Graduate Texts in Mathematics Series.
"The two parts correspond to lectures given in 1962 and 1964 to second year students at the Ecole Normale Supérieure. A redaction of these lectures in the form of duplicated notes, was made by J.-J. Sansuc (Chapters I-IV) and J.-P. Ramis and G. Ruget (Chapters VI-VII). They were very useful to me; I extend here my gratitude to their authors." — Jean-Pierre Serre, Author
BRIEF CONTENT
Preface
Part I - Algebraic Methods
Chapter I - Finite Fields
Appendix - Another proof of the quadratic reciprocity law
Chapter II - p-adic fields
Chapter III - Hilbert symbol
Chapter IV - Quadratic forms over Qp and over Q
Appendix - Sums of three squares
Chapter V - Integral quadratic forms with discriminant ±1
Part II - Analytic Methods
Chapter VI - The theorem on arithmetic progressions
