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ISBN: 9782856292617 2856292615 Year: 2008 Publisher: Marseille, France Providence, RI Société Mathématique de France ; American Mathematical Society
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Forms, Quadratic. --- Forms, Pfister. --- Witt group. --- Invariants. --- Group, Witt --- Algebraic fields --- Forms, Quadratic --- Group theory --- Pfister forms --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Forms, Pfister --- Witt group --- Invariants
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ISBN: 9781108691536 9781108703390 1108576451 1108691536 Year: 2020 Publisher: Cambridge : Cambridge University Press,
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The amount of mathematics invented for number-theoretic reasons is impressive. It includes much of complex analysis, the re-foundation of algebraic geometry on commutative algebra, group cohomology, homological algebra, and the theory of motives. Zeta and L-functions sit at the meeting point of all these theories and have played a profound role in shaping the evolution of number theory. This book presents a big picture of zeta and L-functions and the complex theories surrounding them, combining standard material with results and perspectives that are not made explicit elsewhere in the literature. Particular attention is paid to the development of the ideas surrounding zeta and L-functions, using quotes from original sources and comments throughout the book, pointing the reader towards the relevant history. Based on an advanced course given at Jussieu in 2013, it is an ideal introduction for graduate students and researchers to this fascinating story.
Functions, Zeta. --- L-functions. --- Number theory. --- Combinatorial number theory.
ISBN: 3540207287 Year: 2004 Publisher: Berlin Springer
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Algebraic fields --- Forms, Pfister --- Forms, Quadratic --- 512.64 --- 512.7 --- 512.7 Algebraic geometry. Commutative rings and algebras --- Algebraic geometry. Commutative rings and algebras --- 512.64 Linear and multilinear algebra. Matrix theory --- Linear and multilinear algebra. Matrix theory --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Pfister forms --- Algebraic number fields --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra)
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