Generating sets of Galois equivariant Krasner analytic functions
Alexandru, V.1 ; Vâjâitu, Marian2 ; Zaharescu, Alexandru3
1 University of Bucharest, Romania
2 Romanian Academy, Bucharest, Romania
3 Romanian Academy, Bucharest, Romania, and University of Illinois at Urbana-Champaign, USA
Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 195-208.
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Given a prime number p and x an element of the Tate field ℂ p , the main goal of the present paper is to provide an explicit generating set, which is given by the trace function of x and all its derivatives, for the ℂ p -Banach algebra of the Galois equivariant Krasner analytic functions defined on the complement in ℙ 1 (ℂ p ) of the orbit of x with values in ℂ p .

Publié le :
DOI : 10.4171/RSMUP/22
Classification : 11, 00
Mots-clés : Generating sets, generating degree, Krasner analytic functions, trace functions
Alexandru, V. 1 ; Vâjâitu, Marian 2 ; Zaharescu, Alexandru 3

1 University of Bucharest, Romania
2 Romanian Academy, Bucharest, Romania
3 Romanian Academy, Bucharest, Romania, and University of Illinois at Urbana-Champaign, USA 
@article{RSMUP_2019__141__195_0,
     author = {Alexandru, V. and V\^aj\^aitu, Marian and Zaharescu, Alexandru},
     title = {Generating sets of {Galois} equivariant {Krasner} analytic functions},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {195--208},
     publisher = {European Mathematical Society Publishing House},
     address = {Zuerich, Switzerland},
     volume = {141},
     year = {2019},
     doi = {10.4171/RSMUP/22},
     mrnumber = {3962828},
     zbl = {1432.32027},
     url = {http://www.numdam.org/articles/10.4171/RSMUP/22/}
}
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%A Vâjâitu, Marian
%A Zaharescu, Alexandru
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%J Rendiconti del Seminario Matematico della Università di Padova
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Alexandru, V.; Vâjâitu, Marian; Zaharescu, Alexandru. Generating sets of Galois equivariant Krasner analytic functions. Rendiconti del Seminario Matematico della Università di Padova, Tome 141 (2019), pp. 195-208. doi : 10.4171/RSMUP/22. http://www.numdam.org/articles/10.4171/RSMUP/22/

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