Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Birkhauser Boston Inc, US, 2003
ISBN 10: 0817632115 ISBN 13: 9780817632113
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Paperback. Condition: New. 2004 ed. For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics. The twelve chapters of this monograph present a broad, user-friendly introduction to the Langlands program, that is, the theory of automorphic forms and its connection with the theory of L-functions and other fields of mathematics. Covered are a variety of areas in number theory from the classical zeta function up to the Langlands program. The exposition is sytematic, with each chapter focusing on a particular topic devoted to special cases of the program, and accessible to graduate students and researchers in the field.
Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125503 ISBN 13: 9780691125503
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125503 ISBN 13: 9780691125503
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Condition: New. A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. Series: Annals of Mathematics Studies. Num Pages: 392 pages, 1 line illus. 3 tables. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 542. . 2006. Paperback. . . . .
Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, US, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Language: English
Published by Princeton University Press, US, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Paperback. Condition: New. Modular Forms and Special Cycles on Shimura Curves is a thorough study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. These generating functions are shown to be the q-expansions of modular forms and Siegel modular forms of genus two respectively, valued in the Gillet-Soule arithmetic Chow groups of "M". The two types of generating functions are related via an arithmetic inner product formula. In addition, an analogue of the classical Siegel-Weil formula identifies the generating function for zero-cycles as the central derivative of a Siegel Eisenstein series. As an application, an arithmetic analogue of the Shimura-Waldspurger correspondence is constructed, carrying holomorphic cusp forms of weight 3/2 to classes in the Mordell-Weil group of "M". In certain cases, the nonvanishing of this correspondence is related to the central derivative of the standard L-function for a modular form of weight 2. These results depend on a novel mixture of modular forms and arithmetic geometry and should provide a paradigm for further investigations.The proofs involve a wide range of techniques, including arithmetic intersection theory, the arithmetic adjunction formula, representation densities of quadratic forms, deformation theory of p-divisible groups, p-adic uniformization, the Weil representation, the local and global theta correspondence, and the doubling integral representation of L-functions.
Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
Seller: Majestic Books, Hounslow, United Kingdom
Condition: New. pp. 388 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.
Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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Condition: New. A study of the generating functions constructed from special cycles, both divisors and zero-cycles, on the arithmetic surface "M" attached to a Shimura curve "M" over the field of rational numbers. Series: Annals of Mathematics Studies. Num Pages: 392 pages, 1 line illus. 3 tables. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 229 x 152 x 20. Weight in Grams: 542. . 2006. Paperback. . . . . Books ship from the US and Ireland.
Published by Princeton University Press 2006., 2006
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Condition: Gebraucht / Used. Paperback. Very good. Vii,373pp.
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Language: English
Published by Princeton University Press, 2006
ISBN 10: 0691125511 ISBN 13: 9780691125510
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