Cyclotomic fields

Kummer sum

In mathematics, Kummer sum is the name given to certain cubic Gauss sums for a prime modulus p, with p congruent to 1 modulo 3. They are named after Ernst Kummer, who made a conjecture about the statistical properties of their arguments, as complex numbers. These sums were known and used before Kummer, in the theory of cyclotomy. (Wikipedia).

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Related pages

Generalized Riemann hypothesis | J. W. S. Cassels | Gauss sum | Metaplectic group | Ernst Kummer | Elliptic function | Fermi–Pasta–Ulam–Tsingou problem | Complex multiplication | Analytic number theory | Mathematics | Dirichlet character | Automorphic form | Eisenstein integer | Gaussian period | Index of a subgroup | John von Neumann