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Local and Global Character Sums
Acta Mathematica Sinica, English Series, 2000The author establishes a multiplicative analog (for character sums) of Hua's theorem on the estimate of complete trigonometric sums in an algebraic number field. On the other hand, a relationship between liftings of a character sum in a local field is also studied.
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Jacobi Sums and Hecke Characters
American Journal of Mathematics, 1985Let K be an abelian number field contained in \({\mathbb{Q}}(\zeta_ N)\). \textit{A. Weil} [Trans. Am. Math. Soc. 73, 487-495 (1952; Zbl 0048.270); Nachr. Akad. Wiss. Göttingen, II. Math.-Phys. Kl. 1974, 1-14 (1974; Zbl 0367.10035)] showed how to use Jacobi sums attached to characters of order dividing N to produce Hecke characters whose values lie in ...
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THE EVALUATION OF SELBERG CHARACTER SUMS
1991Let \(\tau\) be a multiplicative character of maximal order, and \(\varphi\) be the quadratic character of a finite field \(GF(q)\). Let \(E\) run through all monic polynomials \(E=E(x)=x^ n+e_{n-1} x^{n-1}+\dots e_ 0\) of degree \(n\) over \(GF(q)\), and let \(\Delta_ E\) denote the discriminant of \(E\).
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On the Character Sum of Polynomials and the Two-term Exponential Sums
Acta Mathematica Sinica, English Series, 2020Wen Peng Zhang
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GAUSS SUMS AND PRIMITIVE CHARACTERS
The Quarterly Journal of Mathematics, 1945openaire +2 more sources
Bilinear character sums over elliptic curves
Finite Fields and Their Applications, 2008Igor Shparlinski
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