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Elliptic tales: curves, counting, and number theory/ Avner Ash, Robert Gross.

By: Contributor(s): Publication details: Princeton, N.J.: Princeton University Press, c2012.Description: xvii, 253 p.: ill.; 24 cmISBN:
  • 9780691151199 (hardcover)
  • 0691151199 (hardcover)
Subject(s): DDC classification:
  • 516.35 A819e
Contents:
Degree of a curve -- Algebraic closures -- The projective plane -- Multiplicities and degree -- Bâezout""s theorem -- Transition to elliptic curves -- Abelian groups -- Nonsingular cubic equations -- Singular cubics -- Elliptic curves over Q -- Building functions -- Analytic continuation -- L-functions -- Surprising properties of L-functions -- The conjecture of Birch and Swinnerton-Dy .
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Includes bibliographical references and index.

Degree of a curve -- Algebraic closures -- The projective plane -- Multiplicities and degree -- Bâezout""s theorem -- Transition to elliptic curves -- Abelian groups -- Nonsingular cubic equations -- Singular cubics -- Elliptic curves over Q -- Building functions -- Analytic continuation -- L-functions -- Surprising properties of L-functions -- The conjecture of Birch and Swinnerton-Dy .

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