Search Results

You are looking at 31 - 40 of 115 items for :

  • "number theory" x
  • Refine by Access: All Content x
Clear All

( 1950 ), 133 – 135 . [2] B ouallegue , K. , E chi , O. and P inch , R. , Korselt Numbers and Sets , Int. J. Number Theory , 6 ( 2010 ), 257 – 269

Restricted access

. J. Number Theory , 127 : 184 – 219 , 2007 . [5] M . Mendès France . Sur les fractions continues limitées . Acta Arith , 23 : 207 – 215 , 1973 . [6] M . Mendès France and A. J . Van Der Poorten . Arithmetic and analytic properties of paper

Restricted access

. Bolyai 51, Number Theory (Budapest 1987) , North-Holland Bolyai Társulat (Budapest, 1990), pp. 473-504. MR 91g :11114 Coll. Math. Soc. J. Bolyai 51, Number Theory (Budapest 1987) 473

Restricted access

References [1] Cai , Y. C. 2010 Lagrange’s four squares theorem with variables of special type International J. Number Theory

Restricted access

DAVENPORT, H., Multiplicative number theory , Second edition, Revised by Hugh L. Montgomery, Graduate Texts in Mathematics, 74 , Springer-Verlag, New York-Berlin, 1980. MR 82m :10001

Restricted access

. 146 169 177 SINGER, J., A theorem in finite projective geometry and some applications to number theory, Trans. Amer. Math. Soc. 43 (1938), 377

Restricted access

. Generating a power basis over a Dedekind ring , Journal of Number Theory , 132 : 2267 – 2276 , 2012 . [2] M. E . Charkani

Restricted access

Number Theory, Proceedings of a Conference in Honor of Heini Halberstam 1 Birkhäuser Basel 231 – 244 . [2] Friedlander , J. B. , Goldston , D. A. 1996 Variance of distribution of primes

Restricted access

References [1] Elliott , P. D. T. A . Probabilistic Number Theory I .. Grund. der Math. Wiss ., 239 , Springer-Verlag , New York, Berlin , 1979 . [2] Grosswald , E . Representations of Integers as Sums of Squares . Springer , 2011 . [3

Open access

Abstract  

It is demonstrated that all stable (non-radioactive) isotopes are formally interrelated as the products of systematically adding alpha particles to four elementary units. The region of stability against radioactive decay is shown to obey a general trend based on number theory and contains the periodic law of the elements as a special case. This general law restricts the number of what may be considered as natural elements to 100 and is based on a proton:neutron ratio that matches the golden ratio, characteristic of biological and crystal growth structures. Different forms of the periodic table inferred at other proton:neutron ratios indicate that the electronic configuration of atoms is variable and may be a function of environmental pressure. Cosmic consequences of this postulate are examined.

Restricted access