Purely periodic β-expansions in cubic Salem base in Fq((x−1)) | Zendy

F. Mahjoub | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Purely periodic β-expansions in cubic Salem base in Fq((x−1))

Author(s) -

F. Mahjoub

Publication year - 2016

Publication title -

publications de l institut mathematique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.246

H-Index - 17

eISSN - 1820-7405

pISSN - 0350-1302

DOI - 10.2298/pim1614279m

Subject(s) - series (stratigraphy) , mathematics , unit vector , conjugate , formal power series , base (topology) , field (mathematics) , unit (ring theory) , power series , complex conjugate , combinatorics , pure mathematics , mathematical analysis , paleontology , mathematics education , biology

Let Fq be the finite field with q elements and β Salem series in Fq((X)). It is proved in [15] that, in this case, all elements in Fq(X, β) have purely periodic β-expansion. We characterize the formal power series f in Fq(X, β) with purely periodic β-expansions by the conjugate vector f̃ when β is a cubic unit. No similar results exist in the real case.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research