Citation:
V. G. Zhuravlev, “Periodic karyon expansions of cubic irrationals in continued fractions”, Number Theory and Applications, 1, Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba, Sovrem. Probl. Mat., 23, Steklov Math. Institute of RAS, Moscow, 2016, 43–68; Proc. Steklov Inst. Math., 296, suppl. 2 (2017), 36–60
\Bibitem{Zhu16}
\by V.~G.~Zhuravlev
\paper Periodic karyon expansions of cubic irrationals in continued fractions
\inbook Number Theory and Applications, 1
\bookinfo Dedicated to 80th anniversary of professor Anatolii Alekseevich Karatsuba
\serial Sovrem. Probl. Mat.
\yr 2016
\vol 23
\pages 43--68
\publ Steklov Math. Institute of RAS
\publaddr Moscow
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\crossref{https://doi.org/10.4213/spm61}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2017
\vol 296
\issue , suppl. 2
\pages 36--60
\crossref{https://doi.org/10.1134/S0081543817030063}
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https://www.mathnet.ru/eng/spm61
https://doi.org/10.4213/spm61
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This publication is cited in the following 7 articles:
Nadir Murru, Lea Terracini, “Simultaneous approximations to p-adic numbers and algebraic dependence via multidimensional continued fractions”, Ramanujan J, 56:1 (2021), 67
V. G. Zhuravlev, “A Local Algorithm for Constructing Derived Tilings of the Two-Dimensional Torus”, J Math Sci, 249:1 (2020), 54
V. G. Zhuravlev, “Lokalnyi algoritm postroeniya proizvodnykh razbienii dvumernogo tora”, Algebra i teoriya chisel. 2, Zap. nauchn. sem. POMI, 479, POMI, SPb., 2019, 85–120
Zhixin Liu, Rui Zhang, “On sums of squares of primes and a k-th power of prime”, Monatsh Math, 188:2 (2019), 269
V. G. Zhuravlev, “The unimodularity of the induced toric tilings”, J. Math. Sci. (N. Y.), 242:4 (2019), 509–530
V. G. Zhuravlev, “Unimodular invariance of karyon decompositions of algebraic numbers in multidimensional continued fractions”, J. Math. Sci. (N. Y.), 242:4 (2019), 531–559
V. G. Zhuravlev, “Simplex–karyon algorithm of multidimensional continued fraction expansion”, Proc. Steklov Inst. Math., 299 (2017), 268–287
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