Results 31 to 40 of about 138,802 (98)
Classical Simulation of Quantum Circuits by Half Gauss Sums
, 2022 We give an efficient algorithm to evaluate a certain class of exponential sums, namely the periodic, quadratic, multivariate half Gauss sums. We show that these exponential sums become
Bu, Kaifeng +3 more
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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
On the Hybrid Power Mean of Two-Term Exponential Sums and Cubic Gauss Sums
, 2021 In this paper, an interesting third-order linear recurrence formula is presented by using elementary and analytic methods. This formula is concerned with the calculating problem of the hybrid power mean of a certain two-term exponential sums and the ...
Tingting Wang, Shaofan Cao
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Arithmetic harmonic analysis for smooth quartic Weyl sums: three additive equations:three additive equations [PDF]
, 2018 We establish the non-singular Hasse principle for systems of three diagonal quartic equations in 32 or more variables, subject to a certain rank condition.
Wooley, Trevor +3 more
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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
Gauss Sums of Orders Six and Twelve
, 2001 Precise, elegant evaluations are given for Gauss sums of orders six and twelve.
Ronald Evans
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Explicit multiplicative relations between Gauss sums [PDF]
, 2002 H.Hasse conjectured that all multiplicative relations between Gauss sums essentially follow from the Davenport-Hasse product formula and the norm relation for Gauss sums.
Murray, Brian J. +2 more
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A New Orthogonal Geomagnetic Coordinate System: The Generalized Eccentric Dipole
Journal of Geophysical Research: Space Physics, Volume 131, Issue 4, April 2026.Abstract The study of near‐Earth plasma environment relies heavily on accurate geomagnetic coordinate systems, mainly because the plasma motion is controlled by the E×B $\boldsymbol{E}\times \boldsymbol{B}$ drift and thus is constrained by the structure of the magnetic field.
Antoine Resseguier +2 more
wiley +1 more source
The L$L$‐polynomials of van der Geer–van der Vlugt curves in characteristic 2
Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.Abstract The van der Geer–van der Vlugt curves form a class of Artin–Schreier coverings of the projective line over finite fields. We provide an explicit formula for their L$L$‐polynomials in characteristic 2, expressed in terms of characters of maximal abelian subgroups of the associated Heisenberg groups.
Tetsushi Ito +2 more
wiley +1 more source
IET Renewable Power Generation, Volume 20, Issue 1, January/December 2026.Distributed bioenergy networks face an unresolved equity challenge: AI dispatch optimisers under‐serve peripheral communities while maximising aggregate throughput. Ethical guardrail bandit pruning enforces fairness and energy sustainability via a two‐timescale primal‐dual guardrail, achieving a 76.6% Gini reduction and 28.5% FLOPs‐proxy reduction ...
Ntebogang Dinah Moroke
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