SUR LE BÊTA-DÉVELOPPEMENT DE 1 DANS LE CORPS DES SÉRIES FORMELLES
2006 ◽
Vol 02
(03)
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pp. 365-378
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Keyword(s):
The Real
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Let β be a fixed element of 𝔽q((X-1)) with polynomial part of degree ≥ 1, then any formal power series can be represented in base β, using the transformation Tβ : f ↦ {βf} of the unit disk [Formula: see text]. Any formal power series in [Formula: see text] is expanded in this way into dβ(f) = (ai(X))i≥1, where [Formula: see text]. The main aim of this paper is to characterize the formal power series β(|β| > 1), such that dβ(1) is finite, eventually periodic or automatic (such characterizations do not exist in the real case).
2017 ◽
Vol 2018
(15)
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pp. 4780-4798
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2012 ◽
Vol 22
(02)
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pp. 1250010
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Keyword(s):
2003 ◽
Vol 184
(2)
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pp. 369-383
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Keyword(s):
2004 ◽
Vol 339
(8)
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pp. 533-538
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2002 ◽
Vol 51
(3)
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pp. 403-410
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Keyword(s):
2011 ◽
Vol 31
(1)
◽
pp. 331-343
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