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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 276, Pages 280–287 (Mi tm3371)  
This article is cited in 5 scientific papers (total in 5 papers)

Geometric proof of Rødseth's formula for Frobenius numbers

A. V. Ustinov

Institute of Applied Mathematics, Khabarovsk Division, Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia
Full-text PDF (198 kB) Citations (5)
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Abstract: Using a geometric interpretation of continued fractions, we give a new proof of Rødseth's formula for Frobenius numbers.
Received in August 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 276, Pages 275–282
DOI: https://doi.org/10.1134/S0081543812010245
Bibliographic databases:
Document Type: Article
UDC: 511.512+511.528
Language: Russian
Citation: A. V. Ustinov, “Geometric proof of Rødseth's formula for Frobenius numbers”, Number theory, algebra, and analysis, Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 276, MAIK Nauka/Interperiodica, Moscow, 2012, 280–287; Proc. Steklov Inst. Math., 276 (2012), 275–282
Citation in format AMSBIB
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\paper Geometric proof of R\o dseth's formula for Frobenius numbers
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\bookinfo Collected papers. Dedicated to Professor Anatolii Alekseevich Karatsuba on the occasion of his 75th birthday
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\vol 276
\pages 280--287
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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  • https://www.mathnet.ru/eng/tm3371
  • https://www.mathnet.ru/eng/tm/v276/p280
    • This publication is cited in the following 5 articles:
    1. He T.-X., Shiue P.J.-S., Venkat R., “On the Solutions of Three-Variable Frobenius-Related Problems Using Order Reduction Approach”, Int. J. Math. Math. Sci., 2021 (2021), 6396792  crossref  mathscinet  isi
    2. I. S. Vorob'ev, A. V. Ustinov, “Symmetric semigroups with three generators”, Sb. Math., 210:12 (2019), 1690–1701  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    3. A. M. Robles-Perez, J. Carlos Rosales, “The Frobenius number in the set of numerical semigroups with fixed multiplicity and genus”, Int. J. Number Theory, 13:4 (2017), 1003–1011  crossref  mathscinet  zmath  isi  scopus
    4. V. M. Fomichev, “Computational complexity of the original and extended Diophantine Frobenius problem”, J. Appl. Industr. Math., 11:3 (2017), 334–346  mathnet  crossref  crossref  elib
    5. I. S. Vorob'ev, “On the Frobenius problem for three arguments”, Sb. Math., 207:6 (2016), 816–840  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    References:120
     
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