Fermat's Last Theorem: Algebra, Geometry, and Number Theory [PDF]
In our work we give the examples using Fermat's Last Theorem for solving some problems from algebra, geometry and number ...
arxiv
Quadratic Equations in Three Variables over Gaussian Integers [PDF]
We develop an algebraic method of studying of Diophantine quadratic equations in three variables over the ring of Gaussian integers.
arxiv
Goldbach's Conjecture and Euler's $φ$-Function [PDF]
In this paper we propose an alternative formulation of the binary and ternary Goldbach conjectures as the systems of equations involving the Euler $\phi$-function.
arxiv
Science between the fairground and the academy: The case of Dutch science popularizer L. K. Maju (1823-1886). [PDF]
da Rocha Gonçalves D.
europepmc +1 more source
Structured Data for Performing Arts History: An Introduction to a Special Issue of Data Papers [PDF]
Noordegraaf, J., van Oort, T.
core +1 more source
Saudi Arabia between 9/11, the Iraq Crisis & the Future [PDF]
The workshop Saudi Arabia between 9/11, the Iraq Crisis & the Future will take place in Leiden and Amsterdam from 20 to 22 February 2004. It is organized by Paul Aarts (University of Amsterdam) and Gerd Nonneman (Lancaster University, UK). The project is
ISIM,
core +1 more source
Shnirelman's Theorem Applications [PDF]
Shnirelman's theorem is applied to solving Diophantine equations, and also discussing of the problems of a representation of Gaussian integers by a sum of odd Gaussian primes.
arxiv
Smoothly Broken Power Law Spectra of Gamma-Ray Bursts [PDF]
A five-parameter expression for a smoothly broken power law is presented. It is used to fit Gamma-Ray Burst (GRB) spectra observed by BATSE. The function is compared to previously used four-parameter functions, such as a sharply broken power law and the Band et al. (1993) function. The presented function exists as a WINGSPAN routine at http://www.astro.
arxiv
Regiae Academiae Gustavo-Carolinae sive Dorpato-Pernaviensis historiae particulam tertiam ... praeside Gustavo Sommelio profess. reg. et acad. Carol. bibliothecario ad publicum examen d. X. Novembr. a. MDCCXCII. defert Daniel Sommelius, Lundensis. Lundae, typis Berlingianis [PDF]
http://tartu.ester.ee/record=b1714778~S1 ...
Sommelius, Daniel
core
Non-Existence of Black Hole Solutions to Static, Spherically Symmetric Einstein-Dirac Systems - a Critical Discussion [PDF]
This short note compares different methods to prove that Einstein-Dirac systems have no static, spherically symmetric solutions.
arxiv