• Publications
  • Influence
On Some Exponential Sums.
  • A. Weil
  • Mathematics, Medicine
  • Proceedings of the National Academy of Sciences…
  • 1 May 1948
  • 684
  • 67
Numbers of solutions of equations in finite fields
Such equations have an interesting history. In art. 358 of the Disquisitiones [1, a], Gauss determines the Gaussian sums (the so-called cyclotomic “periods”) of order 3, for a prime of the form p =Expand
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Basic number theory
I. Elementary Theory.- I. Locally compact fields.- 1. Finite fields.- 2. The module in a locally compact field.- 3. Classification of locally compact fields.- 4. Structure of p-fields.- II. LatticesExpand
  • 932
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Elliptic Functions according to Eisenstein and Kronecker
I EISENSTEIN.- I Introduction.- II Trigonometric functions.- III The basic elliptic functions.- IV Basic relations and infinite products.- V Variation I.- VI Variation II.- II KRONECKER.- VII PreludeExpand
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Remarks on the Cohomology of Groups
JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology andExpand
  • 306
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Adeles and algebraic groups
I. Preliminaries on Adele-Geometry.- 1.1. Adeles.- 1.2. Adele-spaces attached to algebraic varieties.- 1.3. Restriction of the basic field.- II. Tamagawa Measures.- 2.1. Preliminaries.- 2.2. The caseExpand
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Jacobi sums as “Grössencharaktere”
  • 149
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The Field of Definition of a Variety
  • 233
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Foundations of Algebraic Geometry
Algebraic preliminaries Algebraic theory of specializations Analytic theory of specializations The geometric language Intersection-multiplicities (special case) General intersection-theory TheExpand
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Dirichlet Series and Automorphic Forms
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