-exponentials for generalized twisted ramified Witt vectors
Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 145-179.
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In this paper, we generalize Hazewinkel’s theory of twisted ramified Witt rings and then generalize -exponentials defined by Pulita using newly defined Witt vectors. As an application,we determine the radii of convergence of some formal group exponentials.We also show that -typical part of a theorem of R. Richard [Ric15] on the convergence of -exponentials holds for these series and prove some overconvergence properties of related series.
Publié le :
DOI : 10.4171/RSMUP/35
DOI : 10.4171/RSMUP/35
Classification :
11, 13
Mots-clés : Twisted ramified Witt ring, $\pi$-exponential, overconvergence, formal group, Carlitz module
Mots-clés : Twisted ramified Witt ring, $\pi$-exponential, overconvergence, formal group, Carlitz module
Affiliations des auteurs :
Matsuda, Shigeki 1
@article{RSMUP_2019__142__145_0, author = {Matsuda, Shigeki}, title = {$\pi$-exponentials for generalized twisted ramified {Witt} vectors}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {145--179}, publisher = {European Mathematical Society Publishing House}, address = {Zuerich, Switzerland}, volume = {142}, year = {2019}, doi = {10.4171/RSMUP/35}, mrnumber = {4032809}, zbl = {1444.11111}, url = {http://www.numdam.org/articles/10.4171/RSMUP/35/} }
TY - JOUR AU - Matsuda, Shigeki TI - $\pi$-exponentials for generalized twisted ramified Witt vectors JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2019 SP - 145 EP - 179 VL - 142 PB - European Mathematical Society Publishing House PP - Zuerich, Switzerland UR - http://www.numdam.org/articles/10.4171/RSMUP/35/ DO - 10.4171/RSMUP/35 ID - RSMUP_2019__142__145_0 ER -
%0 Journal Article %A Matsuda, Shigeki %T $\pi$-exponentials for generalized twisted ramified Witt vectors %J Rendiconti del Seminario Matematico della Università di Padova %D 2019 %P 145-179 %V 142 %I European Mathematical Society Publishing House %C Zuerich, Switzerland %U http://www.numdam.org/articles/10.4171/RSMUP/35/ %R 10.4171/RSMUP/35 %F RSMUP_2019__142__145_0
Matsuda, Shigeki. $\pi$-exponentials for generalized twisted ramified Witt vectors. Rendiconti del Seminario Matematico della Università di Padova, Tome 142 (2019), pp. 145-179. doi : 10.4171/RSMUP/35. http://www.numdam.org/articles/10.4171/RSMUP/35/
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