Published June 2006 | Version v1
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Geometry of continued fractions associated to Frobenius numbers

Creators

  • 1. Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
  • 2. Steklov Mathematical Institute, Moscow (Russian Federation)

Description

The geometrical theorems, related to the Frobenius numbers, were invented by me in 1999, while I was writing the paper on the weak asymptotics of the numbers of solutions of different Diophantine problems. For this goal I calculated several thousands of Frobenius numbers N(a, b, c). However, I had not included these theorems in the articles, considering these facts to be too evident. The present article provides the proof of their evidence. To discover these facts is much more difficult, than to prove them

Availability note (English)

Available from INIS in electronic form; Also available at: http://www.ictp.it

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Additional details

Identifiers

URL
http://www.ictp.it;

Publishing Information

Imprint Pagination
11 p.
Report number
IC--2006/038

INIS

Country of Publication
International Atomic Energy Agency (IAEA)
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
38002827
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
ASYMPTOTIC SOLUTIONS; CONTINUED FRACTIONS; DIMENSIONLESS NUMBERS; GEOMETRY; MATHEMATICAL LOGIC
Descriptors DEC
MATHEMATICAL SOLUTIONS; MATHEMATICS

Optional Information

Notes
3 refs, 5 figs