Results 101 to 110 of about 164,093 (140)
Optimal Choice of the Regularization Parameter for Direct Identification of Polymers Relaxation Time and Frequency Spectra. [PDF]
Polymers (Basel)Stankiewicz A, Bojanowska M.
europepmc +1 more source
Near-field-free super-potential FFT method for the three-dimensional free-space Poisson equation
Exl L, Schaffer S.
europepmc +1 more source
A Rigid-Body Pendulum Model for Plyometric Push-Up Biomechanics: Analytical Derivation and Numerical Quantification of Flight Time, Arc Displacement, Maximum Height, and Mechanical Power Output. [PDF]
Bioengineering (Basel)Dhahbi W.
europepmc +1 more source
Variational approach to multimode nonlinear optical fibers. [PDF]
NanophotonicsLorenzi F, Salasnich L.
europepmc +1 more source
Medium-Range Structural Order in Amorphous Arsenic. [PDF]
J Am Chem SocLiu Y +6 more
europepmc +1 more source
Some of the next articles are maybe not open access.
Related searches:
Related searches:
On the gauss trigonometric sum
Mathematical Notes, 2000The author studies Gaussian sums of the form \(S(p,a,k)=\sum_{x=0}^{p-1}e^{2\pi iax^k/p}\), where \(a,k\) are positive integers, \(k\geq3, m=[(k-1)/2], a\not\equiv0\pmod p,\;p\equiv1\pmod k\). For \(p\equiv7\pmod{12}\) he proves a lower estimate of the form \(|S(p,a,6)|>(\sqrt3/2)\sqrt7\).
M Z Garaev
exaly +3 more sources
On Cubic Exponential Sums and Gauss Sums
Journal of Mathematical Sciences, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +2 more sources
Mathematics of the USSR-Izvestiya, 1967
This article refutes the Kummer conjecture on the behavior of the argument of the cubic Gauss sum. It is proved that the prime numbers are uniformly distributed over the Kummer classes.
openaire +1 more source
This article refutes the Kummer conjecture on the behavior of the argument of the cubic Gauss sum. It is proved that the prime numbers are uniformly distributed over the Kummer classes.
openaire +1 more source
The American Mathematical Monthly, 2014
Let p be an odd prime and be a primitive pth-root of unity. For any integer a prime to p, let . a / denote the Legendre symbol, which is 1 if a is a square mod p, and is 1 otherwise. Using Euler's Criterion that a .p 1/=2 D. a / mod p, it follows that the Legendre symbol gives a homomorphism from the multiplicative group of nonzero elements F p of FpD ...
openaire +1 more source
Let p be an odd prime and be a primitive pth-root of unity. For any integer a prime to p, let . a / denote the Legendre symbol, which is 1 if a is a square mod p, and is 1 otherwise. Using Euler's Criterion that a .p 1/=2 D. a / mod p, it follows that the Legendre symbol gives a homomorphism from the multiplicative group of nonzero elements F p of FpD ...
openaire +1 more source
Gauss Sums and Orthogonal Polynomials
International Journal of Modern Physics A, 1997It is shown that q-Hermite polynomials for q a root of unity are orthogonal on finite numbers of points of the real axes. The (complex) weight function coincides with a special type of the Gauss sums in number theory. The same Gauss sum plays the role of the weight function for the Stiltjes–Wigert and Rogers–Szegö polynomials leading to the ...
openaire +2 more sources