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Advanced analytic number theory L-functions par Moreno,, Carlos J., Publication : Providence, R.I. American Mathematical Society 2005 . xx, 291 p. 27 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Algebraic number theory / par Neukirch,, JŁurgen, Publication : Berlin ; | New York : Springer, 1999 . xvii, 571 p. ; 25 cm. Date : 1999 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Analytic Arithmetic in Algebraic Number Fields. par Moroz, B., Publication : Berlin Springer 2008 . 1 online resource. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Certain number-theoretic episodes in algebra par Sivaramakrishnan,, R. Publication : [S.l.] Chapman and Hall/CRC 2006 . 632 p. , Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra arising from number theory. Self-contained, the book examines situations where explicit algebraic analogues of theorems of number theory are available. Coverage is divided into four parts, beginning with elements of number theory and algebra such as theorems of Euler, Fermat, and Lagrange, Euclidean domains, and finite groups. In the second part, the book details ordered fields, fields with valuation, and other algebraic structures. This is followed by a review of fundamentals of algebraic number theory in the third part. The final part explores links with ring theory, finite dimensional algebras, and the Goldbach problem. 24 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Cohomologie galoisienne par Serre, Jean-Pierre. Publication : [S.l.] Springer 1997 . 181 p. , This new edition includes a survey (mostly without proofs) of the main results obtained in the 30 years following original publication. It also incorporates newer material, including two "r�sum�s de cours" at the Coll�ge de France (1990 - 1991 and 1991 - 1992), and an updated bibliography. 24 cm. Date : 1997 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Computational problems, methods, and results in algebraic number theory par Zimmer,, H. G. Publication : [S.l.] Springer 2009 . 110 p. 24 cm. Date : 2009 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Elementary and analytic theory of algebraic numbers / par Narkiewicz,, Wأadysأaw. Publication : Berlin ; | New York : Springer, 2004 . x, 708 p. ; 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Fermat's last theorem : a genetic introduction to algebraic number theory / par Edwards, Harold M. Publication : New York : Springer-Verlag, 1977 . xv, 410 pages ; 25 cm. Date : 1977 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Frontiers in number theory, physics, and geometry I : on random matrices, zeta functions and dynamical systems / par Cartier,, Pierre Emile. Publication : [S.l.] : Springer, 2005 . 490 p. ; , This book presents pedagogical contributions on selected topics relating Number Theory, Theoretical Physics and Geometry. The parts are composed of long self-contained pedagogical lectures followed by shorter contributions on specific subjects organized by theme. Most courses and short contributions go up to the recent developments in the fields; some of them follow their author?s original viewpoints. There are contributions on Random Matrix Theory, Quantum Chaos, Non-commutative Geometry, Zeta functions, and Dynamical Systems. The chapters of this book are extended versions of lectures given at a meeting entitled Number Theory, Physics and Geometry, held at Les Houches in March 2003, which gathered mathematicians and physicists. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Non-unique factorizations : algebraic, combinatorial and analytic theory par Geroldinger, Alfred. Publication : [S.l.] Chapman and Hall/CRC 2006 . 728 p. , From its origins in algebraic number theory, the theory of non-unique factorizations has emerged as an independent branch of algebra and number theory. Focused efforts over the past few decades have wrought a great number and variety of results. However, these remain dispersed throughout the vast literature. For the first time, Non-Unique Factorizations: Algebraic, Combinatorial, and Analytic Theory offers a look at the present state of the theory in a single, unified resource. Taking a broad look at the algebraic, combinatorial, and analytic fundamentals, this book derives factorization results and applies them in concrete arithmetical situations using appropriate transfer principles. It begins with a basic introduction that can be understood with knowledge of standard basic algebra. The authors then move to the algebraic theory of monoids, arithmetic theory of monoids, the structure of sets of lengths, additive group theory, arithmetical invariants, and the arithmetic of Krull monoids. They also provide a self-contained introduction to abstract analytic number theory as well as a modern treatment of W. Narkiewicz's analytic theory of non-unique factorizations. Non-Unique Factorizations: Algebraic, Combinatorial, and Analytic Theory builds the discussion from first principles to applied problem solving, making it ideally suited to those not familiar with the theory as well as those who wish to deepen their understanding. 26 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Number theory par Cohen, Henri Publication : New York Springer 2007 . 2 volumes 25 cm. Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1), La bibliothèque des Sciences Exactes et Naturelles (1),

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Problems in algebraic number theory / par Murty,, Maruti Ram. Publication : New York : Springer, 2005 . xvi, 352 p. ; , Esmonde's name appears first on the earlier edition. 25 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Computational algebraic number theory / par Pohst, Michael E. Publication : Basel : Birkhäuser Verlag, 1993 . 1 online resource (88 p) : Date : 1993 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Algebraic numbers and harmonic analysis / par Meyer, Yves. Publication : . 1 online resource (x, 274 pages) , Sole distributors for the USA and Canada: American Elsevier, New York. Disponibilité :  http://www.sciencedirect.com/science/book/9780444103574,

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