CURRICULUM VITÆ Family name: First name: Date of birth: Place of birth:

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• Diophantine approximation
• Analytic number theory
• Diophantine geometry
• Diophantine equations
• Mathematics
• Number theory
• Diophantus

SERRE’S MODULARITY CONJECTURE (I) CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER to Jean-Pierre Serre Abstract. This paper is the first part of a work which proves Serre’s modularity conjecture. We first prove the

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• Field theory
• Galois theory
• Representation theory
• Class field theory
• Galois module
• Algebraic number field
• Finite field
• Group representation
• Prime number
• Abstract algebra
• Algebra
• Algebraic number theory

Bibliography : Borevitch Shafarevich Th´eorie des Nombres. Ireland Rosen A classical introduction to modern number theory. Pierre Samuel Th´eorie alg´ebrique des nombres. Jean-Pierre Serre Cours d’arithm´etique. Ne

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JP Wintenberger : bureau 204. http://www-irma.u-strasbg.fr/ wintenb/ Probl`emes de Math´ematiques[removed]V´elu : Math´ematiques g´en´erales.

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CURRICULUM VITÆ Yann Bugeaud, n´e le 10 f´evrier 1971 ` a Lorient, domicili´e 11, avenue des Vosges, `

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RAMIFICATION IN IWASAWA MODULES CHANDRASHEKHAR KHARE AND JEAN-PIERRE WINTENBERGER Abstract. We make a reciprocity conjecture that extends Iwasawa’s analogy of direct limits of class groups along the cyclotomic tower of

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• Algebraic number field
• Iwasawa theory
• Finite field
• Torsion
• Galois group
• Field
• Valuation
• Elliptic curve
• Inverse Galois problem
• Abstract algebra
• Algebra
• Field theory

PERFORMERS WORLDWIDE URGE A FAIR DEAL FROM U.S. RADIO Making a living from music requires talent, creativity and hard work. Artists and musicians the world over depend on the simple idea that when a radio station broad

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• Western
• Royalties
• African American music
• Country music
• Culture of the Southern United States

Ahnenliste Helga Nobel, * Kirchner Geschwister 1a Erna Christ, adop. Kirchner, ȸ Zimmerman, *[removed]Biebrich, Sie starb am[removed]Wiesbaden. 2a Anna Kirchner, Pfeilstücker, wurde am 31.01.

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• Information
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DOC Document

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