Results 11 to 20 of about 138,802 (98)
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
doaj +2 more sources
Hybrid Mean Value of General Quartic Gauss Sums and Three-Term Exponential Sums
Indian Journal of Advanced MathematicsThis paper explores the hybrid power mean of three-term exponential sums, incorporating weights derived from general quartic Gauss sums. By employing the theory of Dirichlet characters in conjunction with fundamental properties of classical Gauss sums, we establish several significant results. Furthermore, we determine the corresponding weight function
Dr. Shikha Singh, Prof. Jagmohan Tanti
exaly +2 more sources
Hypergeometric decomposition of symmetric K3 quartic pencils. [PDF]
Res Math Sci, 2020 We study the hypergeometric functions associated to five one-parameter deformations of Delsarte K3 quartic hypersurfaces in projective space. We compute all of their Picard--Fuchs differential equations; we count points using Gauss sums and rewrite this ...
Doran CF +5 more
europepmc +2 more sources
Gauss Sums and Elliptic Functions: II. The Quartic Sum
Inventiones Mathematicae, 1979 exaly +3 more sources
Partial Sums of Two Quartic q-Series [PDF]
, 2009 The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts.
Wenchang Chu +3 more
core +4 more sources
Quartic Gauss sums over primes and metaplectic theta functions
, 2023 We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve over $\mathbb{Q}(i)$, and Suzuki's evaluation of the Fourier-Whittaker coefficients of quartic theta functions at squares. We also conjecture asymptotics for certain moments of
David, Chantal +3 more
openaire +2 more sources
On the hybrid power mean of two kind different trigonometric sums
Open Mathematics, 2019 The main purpose of this paper is using the analytic method, the properties of trigonometric sums and Gauss sums to study the computational problem of one kind hybrid power mean involving two different trigonometric sums, and give an interesting ...
Zhuoyu Chen, Wenpeng Zhang
doaj +1 more source
Evaluations of a Weighted Average of Gauss Sums
, 2021 In this paper, we perform a further investigation for a weighted average of Gauss sums. By making use of some properties of the cotangent function and the Bernoulli polynomials, we explicitly evaluate the weighted average of Gauss sums in terms of the ...
Wen-Kai Shao, Yuan He
core +1 more source
One Kind Special Gauss Sums and their Mean Square Values
, 2021 In this paper, we introduce one kind special Gauss sums; then, using the elementary and analytic methods to study the mean value properties of these kind sums, we obtain several exact calculating formulae for ...
Jianhong Zhao, Jiejie Gao
core +1 more source
Survey on differential estimators for 3d point clouds
Computer Graphics Forum, EarlyView.Abstract Recent advancements in 3D scanning technologies, including LiDAR and photogrammetry, have enabled the precise digital replication of real‐world objects. These methods are widely used in fields such as GIS, robotics, and cultural heritage. However, the point clouds generated by such scans are often noisy and unstructured, posing challenges for ...
Léo Arnal–Anger +4 more
wiley +1 more source