Linear nested Artin approximation theorem for algebraic power series

Autor: Castro-Jiménez, Francisco-Jesus, Popescu, Dorin, Rond, Guillaume

We give a new and elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify the relationship bet

Externí odkaz: http://arxiv.org/abs/1511.09275

Linear nested Artin approximation theorem for algebraic power series

Autor: Guillaume Rond, F.J. Castro-Jiménez, Dorin Popescu

Publikováno v: idUS. Depósito de Investigación de la Universidad de Sevilla
instname
manuscripta mathematica
manuscripta mathematica, Springer Verlag, 2019, 158 (1-2), pp.55-73. ⟨10.1007/s00229-018-1025-0⟩

We give a new and elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify the relationship bet

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fbccded056f793c664d85612e12fe544

Necessary and sufficient mobility conditions for single-loop overconstrained nH mechanisms

Autor: René Bartkowiak, Christoph Woernle

Publikováno v: Mechanism and Machine Theory. 103:65-84

For overconstrained single-loop mechanisms with helical joints (nH mechanisms) necessary conditions for the finite mobility are derived using a local approximation of the loop closure conditions by means of a Taylor -series expansion of the 1st-order

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::19c4d761893dd63837e4a6f562a520b7
https://doi.org/10.1016/j.mechmachtheory.2016.03.023

The classical Artin approximation theorems

Autor: Herwig Hauser

Publikováno v: Bulletin of the American Mathematical Society. 54:595-633

The various Artin approximation theorems assert the existence of power series solutions of a certain qualityQQ(i.e., formal, analytic, algebraic) of systems of equations of the same qualityQQ, assuming the existence of power series solutions of a wea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ee2e01a98eaadfe19741e46061c51e1e
https://doi.org/10.1090/bull/1579

On critical values of twisted Artin $L$-functions

Autor: Peng-Jie Wong

Publikováno v: Czechoslovak Mathematical Journal. 67:551-555

We give a simple proof that critical values of any Artin L-function attached to a representation l with character χl are stable under twisting by a totally even character χ, up to the dim l-th power of the Gauss sum related to χ and an element in

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0ec61782b56cd2fafaa9d9e0b39cd609
https://doi.org/10.21136/cmj.2017.0134-16