In this paper we have described in the Section 1 some equations and theorems concerning the Circle Method applied to the Goldbach’s Conjecture. In the Section 2, we have described some equations and theorems concerning the Circle Method to investigate Germain primes by the Major arcs. In the Section 3, we have described some equations concerning the equivalence between the Goldbach’s Conjecture...

where x̄ is the complex conjugate of x This paper uses the machinery of almost periodic functions to prove that even without uniform convergence the connection between a pair of almost periodic functions and the constants of the associated Fourier series exists for both the convolution and cross-correlation. The general results for two almost periodic functions are narrowed and applied to Ramanu...

In this paper, the temperature shock phenomenon is considered. This occurs during operation of engineering structures on Earth and in outer space. A rectangular plate has been selected as a structural element exposed to shock. It rigidly sealed edge three free edges. one-dimensional third initial boundary value problem thermal conductivity was posed solved study stress–strain state plate. Fouri...

The first [4+2]-annulation between aminocyclobutanes and aldehydes to access tetrahydropyranyl amines is reported. With phthalimido cyclobutane dicarboxylates and aromatic aldehydes, tetrahydropyrans were obtained in 53-92% yield and 3:117:1 dr using scandium triflate or iron trichloride as catalyst. The use of thymineor fluorouracilsubstituted cyclobutanes gave direct access to six-membered ri...

La conjetura sobre la infinitud de los primos Germain, es decir, aquellos que “si p primo, 2p + 1 también primo“, se trata en este trabajo siguiendo un enfoque novedoso. Primero observa hay número infinito números no son Germain. Por lo tanto, si cantidad Germain infinita, una biyección con todos primos.
 Sin embargo, muestra haciendo extensión a definición obtiene esa biyección. Para logr...

In this paper we propose an algorithm for computing large primes p and q such that q divides p4 + p3 + p2 + p+ 1 or p4 − p3 + p2 − p+ 1. Such primes are key parameters for the GiulianiGong Public Key System.

Phylogenetic analyses were performed on the 17 taxa in the subtribe Brachysternina (Coleoptera: Scarabaeidae: Rutelinae: Anoplognathini) as a means of resolving classification conflicts and of identifying monophyletic groups. Results demonstrated that the subtribe is monophyletic and is composed of three monophyletic genera: Aulacopalpus Guérin-Méneville (nine species), Brachysternus Guérin-Mén...

It is with great sadness that we share that Jean St. Germain, our colleague, friend, and integral member of the Medical Physics Department at Memorial Sloan Kettering Cancer Center (MSKCC) for over 50 yr, passed away on December 7, 2017. She died peacefully and was with her brother, Amos, at the time. Following completion of graduate study at Rutgers University and a fellowship at Brookhaven Na...