Results 11 to 20 of about 85 (72)

The reckoning of certain quartic and octic Gauss sums [PDF]

Glasgow Mathematical Journal, 1977
In this brief note, we evaluate certain quartic and octic Gauss sums with the use of theorems on fourth and eighth power difference sets. We recall that a subset H of a finite (additive) abelian group G is said to be a difference set of G [5, p. 64] if for some fixed natural number λ, every nonzero element of G can be written as a difference of two ...
Berndt, Bruce C., Chowla, Sarvadaman
openaire   +1 more source

The conductor of a cyclic quartic field using Gauss sums [PDF]

Czechoslovak Mathematical Journal, 1997
This paper presents a new simple proof of the known expression for the conductor of a cyclic quartic extension of the rational field. The proof uses the known properties of quartic Gauss sums.
Spearman, B. K., Williams, K. S.
openaire   +1 more source

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, Dunn, Alexander, Hamieh, Alia, Lin, Hua   +3 more
openaire   +2 more sources

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   +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

Parallel Vectors Extraction using Bézier Clipping

Computer Graphics Forum, EarlyView.
Abstract In this paper, we propose a novel local feature extraction algorithm for the parallel vectors (PV) operator. Our method is based on Bézier clipping, which is a bracketing‐based root finding method that is commonly‐used in computer‐aided geometric design.
Nico Daßler, Tobias Günther
wiley   +1 more source

Topology Optimization in Civil Engineering − On the Consideration of Concrete Failure Characteristic and Self‐Weight

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The mechanical efficiency of civil engineering structures is a key factor in the sustainable transformation of the building sector. This study presents topology optimization in civil engineering design. The static load profile of civil engineering structures is typically dominated by their self‐weight, which introduces, as a special ...
Daniela Masarczyk, Minh Tuan Tran, Detlef Kuhl   +2 more
wiley   +1 more source

EVSS‐Based Simulation Techniques for the Viscoelastic Fluids With Pure Polymer Melts Using Three‐Field Approach

International Journal for Numerical Methods in Fluids, Volume 98, Issue 4, Page 492-509, April 2026.
This paper presents a finite element method for simulating highly viscoelastic flows of pure polymer melts using the Elastic Viscous Stress Splitting formulation. The method avoids higher‐order derivatives in the weak formulation by reformulating the convective term in the constitutive equation.
R. Ahmad, P. Zajac, S. Turek
wiley   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Non‐Markovian Exceptional Points in Waveguide Quantum Electrodynamics

Advanced Quantum Technologies, Volume 9, Issue 4, April 2026.
Non‐Markovian waveguide‐QED systems exhibit dynamical transitions governed by exceptional points arising from retardation and interference. Giant atoms and spatially separated emitters display oscillatory relaxation and real zeros in the excited‐state amplitude at critical delay times.
Stefano Longhi
wiley   +1 more source