Results 301 to 310 of about 3,137,062 (349)
Some of the next articles are maybe not open access.

Related searches:

Holographic reciprocity law failure

Applied Optics, 1984
Previous authors have reported a falloff in diffraction efficiency of reconstructed images in multiple-exposure holograms. We call this phenomenon holographic reciprocity law failure. We propose an explanation for this phenomenon based on latent image formation in photographic materials and discuss a method for superimposing holograms that reconstruct ...
Kristina M. Johnson   +2 more
openaire   +4 more sources

The Quadratic Reciprocity Law

2010
In this section we recall several well-known elementary facts, mostly without proof. We give the proof for some of them. An ideal I of a commutative ring R is called a prime ideal if R/I has no zero divisors; I is called principal if I = αR with some \(\,{\alpha}\in R.\) An integral domain (that is, a commutative ring with identity element that has no ...
G. Shimura
openaire   +3 more sources

Fermat curves and a refinement of the reciprocity law on cyclotomic units

Journal für die Reine und Angewandte Mathematik, 2018
We define a “period-ring-valued beta function” and give a reciprocity law on its special values. The proof is based on some results of Rohrlich and Coleman concerning Fermat curves. We also have the following application.
Tomokazu Kashio
semanticscholar   +1 more source

THE RECIPROCITY LAW FOR THE TWISTED SECOND MOMENT OF DIRICHLET $L$ -FUNCTIONS OVER RATIONAL FUNCTION FIELDS

Bulletin of the Australian Mathematical Society, 2018
We prove the reciprocity law for the twisted second moments of Dirichlet $L$ -functions over rational function fields, corresponding to two irreducible polynomials. This formula is the analogue of the formulas for Dirichlet $L$ -functions over $\mathbb{Q}
Goran Djanković
semanticscholar   +1 more source

Home - About - Disclaimer - Privacy