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Gauss sums and elliptic functions: II. The quartic sum
Inventiones Mathematicae, 1979 exaly +3 more sources
On the quartic Gauss sums and their recurrence property [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shen, Shimeng, Zhang, Wenpeng
openaire +2 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
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
, 1998 Letpbe a prime integer andmbe an integer, not divisible byp. LetKbe the splitting field ofXm−1 over the prime field Fp. Solving the Gauss sums problem of ordermin characteristicpmeans determining Gauss sums of all multiplicative characters ofKof order ...
Mbodj, Oumar D.
core +1 more source
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
Relative norms of Gauss sums [PDF]
, 1987 The explicit determination of the values of Gauss sums is a very classical problem and has some rather deep arithmetic consequences in classfield theory. Here we study the simpler problem of finding their relative norms.
Gurak, S
core +1 more source
Note on the quadratic Gauss sums [PDF]
, 2001 Let p be an odd prime and {χ(m)=(m/p)}, m=0,1,...,p−1 be a finite arithmetic sequence with elements the values of a Dirichlet character χ modp which are defined in terms of the Legendre symbol (m/p), (m,p)=1. We study the relation between the Gauss and
George Danas
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
Gauss sums over some matrix groups [PDF]
, 2012 In this note, we give explicit expressions of Gauss sums for general (resp. special) linear groups over finite fields, which involve classical Gauss sums (resp. Kloosterman sums).
Hu, Su, Li, Yan, Su Hu, Yan Li
core +1 more source