n n with n > 2; c i ! c 2 5 ' , , , c n 5 c integers is a problem which may occupy more space in the future development of linear programming,, For n = 2 this is achieved by known methods — either by developing c 2 / c j in a continued fraction by Euclid's algorithm or by solving the linear congruence Cj^q = c(c 2). For n > 2 refuge is usually taken to… (More)
0. By the Perron matrices P. in an n-dimensional algorithm of the Jacobi-Perron type  we understand the analogue to the 2-dimensional matrices Pk-i \ built up from two consecutive "convergents" of an ordinary continued fraction.
V&dldcitzd to Cant MmgoJt, on thz occcu-lon ol kiA SOtk bAJuthday. 0. Introduction This paper investigates some problems concerning PRIMITIVE PYTHAGOREAN TRIPLES (PPT) and succeeds in solving, completely or partially, some of these problems while leaving open others. Dickson , in his three-volume history of number theory has given a twenty-five-page… (More)
By an invariant of a mathematical structure—a matrix, an equation, a field — w e usually understand a relation, or a formula emerging from that structure —which remains unaltered if certain operations are performed on this structure. An invariant is, so to speak, the calling card of some mathematical pattern, it is a fixed focus around which the infinite… (More)
The 174 Yb(29 Si,5n) reaction at 148 MeV with thin targets was used to populate high-angular momentum states in 198 Po. Resulting γ rays were observed with Gammasphere. A weakly-populated superdeformed band of 10 γ-ray transitions was found and has been assigned to 198 Po. This is the first observation of a SD band in the A ≈ 190 region in a nucleus with Z… (More)
The ground state rotational bands of the N = Z nuclei (72)Kr, (76)Sr, and (80)Zr have been extended into the angular momentum region where rotation alignment of particles is normally expected. By measuring the moments of inertia of these bands we have observed a consistent increase in the rotational frequency required to start pair breaking, when compared… (More)
Dedicated to my wife Pesia and my son John