Results 11 to 20 of about 6,655 (117)
A new fourth power mean of two-term exponential sums
Open Mathematics, 2019 The main purpose of this paper is to use analytic methods and properties of quartic Gauss sums to study a special fourth power mean of a two-term exponential sums modp, with p an odd prime, and prove interesting new identities.
Li Chen, Xiao Wang
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Open Mathematics, 2018 The main purpose of this paper is to study the computational problem of one kind hybrid power mean involving two-term exponential sums and quartic Gauss sums using the analytic method and the properties of the classical Gauss sums, and to prove some ...
Shen Shimeng
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Gauss sums and elliptic functions: II. The quartic sum
Inventiones Mathematicae, 1979 C. R. Matthews
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Quartic Gauss sums over primes and metaplectic theta functions
, 2023 35 pages.
David, Chantal +3 more
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Gauss sums and Van der Geer–Van der Vlugt curves [PDF]
Bulletin of the London Mathematical Society, 2023 We study Van der Geer–Van der Vlugt curves in a ramification‐theoretic view point. We give explicit formulae on the L$L$ ‐polynomials of these curves.
Daichi Takeuchi, Takahiro Tsushima
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On the number of zeros of diagonal quartic forms over finite fields
Forum mathematicum, 2022 Let 𝔽q{\mathbb{F}_{q}} be the finite field of q=pm≡1(mod4){q=p^{m}\equiv 1~{}(\bmod~{}4)} elements with p being an odd prime and m being a positive integer. For c,y∈𝔽q{c,y\in\mathbb{F}_{q}} with y∈𝔽q*{y\in\mathbb{F}_{q}^{*}} non-quartic, let Nn(c){N_{n}(
Junyong Zhao +3 more
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On the Quartic Residues and Their New Distribution Properties
Mathematics, 2020 In this paper, we use the analytic methods, the properties of the fourth-order characters, and the estimate for character sums to study the computational problems of one kind of special quartic residues modulo p, and give an exact calculation formula and
Juanli Su, Jiafan Zhang
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Gauss sums and the maximum cliquesin generalized Paley graphs of square order [PDF]
Functiones et Approximatio Commentarii Mathematici, 2021 Let GP (q, d) be the d-Paley graph defined on the finite field Fq . It is notoriously difficult to improve the trivial upper bound √ q on the clique number of GP (q, d).
Chi Hoi Yip
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EXPLICIT KUMMER GENERATORS FOR CYCLOTOMIC EXTENSIONS
JP Journal of Algebra Number Theory and Applications, 2022 A BSTRACT . If p is a prime number congruent to 1 modulo 3 , then we explicitly describe an element of the cyclotomic field Q ( ζ 3 ) whose third root generates the cubic subextension of Q ( ζ 3 p ) / Q ( ζ 3 ) .
F. Hörmann +3 more
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