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    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116

    Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116), Volume 116

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    Bog E-bog
    • Format
    • Bog, paperback
    • Engelsk

    Beskrivelse

    The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations of such standard constructions of classical analysis as convolution and Fourier transform. The book is simultaneously an account of some of these ideas, techniques, and results, and an account of their application to concrete equidistribution questions concerning Kloosterman sums and Gauss sums.

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    10 cm
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    15,2 cm
    23,5 cm

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    Lie-algebra Homology theory Riemann hypothesis Gaussian sums Weil conjectures Kloosterman sums Galois group Absolute value Integer Prime number Monodromy Representation theory Zariski topology Cohomology Lie theory Tensor product Characteristic Polynomial Theorem Parameter Convolution Adjoint Representation Convolution theorem Algebraic group Exterior algebra Automorphism Automorphic Form Absolute Galois Group Homomorphism Exponential sum L-Function Finite field Symplectic Group Kloosterman sum Abelian category Endomorphism Coefficient Conjugacy Class Additive group Affine Variety Cartan subalgebra Big O notation Complex Lie group Cokernel Dimension (vector space) Classification theorem Dual basis Existential quantification Compactification (mathematics) Frobenius Endomorphism Fundamental representation Irreducibility (mathematics) Equidistribution theorem Isomorphism class Leray spectral sequence Monodromy theorem Fundamental group Gauss sum Quotient Group P-group Residue field subgroup Support (mathematics) Sheaf (mathematics) Variable (mathematics) Trace (linear algebra) Multiplicative group Weyl character formula Maximal Compact Subgroup Representation ring Spin Representation Symplectic vector space Special case
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