Recurrences and Legendre transform.
Strehl, Volker (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
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Strehl, Volker (1992)
Séminaire Lotharingien de Combinatoire [electronic only]
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Jun-ichi Tamura (1992)
Acta Arithmetica
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In this paper, we give transcendental numbers φ and ψ such that (i) both φ and ψ have explicit g-adic expansions, and simultaneously, (ii) the vector has an explicit expression in the Jacobi-Perron algorithm (cf. Theorem 1). Our results can be regarded as a higher-dimensional version of some of the results in [1]-[5] (see also [6]-[8], [10], [11]). The numbers φ and ψ have some connection with algebraic numbers with minimal polynomials x³ - kx² - lx - 1 satisfying (1.1) k ≥ l ≥0, k...
Maki Furukado, Shunji Ito (2009)
Actes des rencontres du CIRM
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Krämer, Helmut (1997)
Séminaire Lotharingien de Combinatoire [electronic only]
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Frey, Darrin D., Sellers, James A. (2000)
Journal of Integer Sequences [electronic only]
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Radzievskaya, E.I., Radzievskij, G.V. (2003)
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Lyul'ko, N. A. (2002)
Sibirskij Matematicheskij Zhurnal
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Topuridze, N. (2003)
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Radić, Mirko (2005)
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Sudoplatov, S.V. (2001)
Sibirskij Matematicheskij Zhurnal
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F. Dedagić, N. Okičić (2005)
Kragujevac Journal of Mathematics
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