Using classical results on conjugate functions, we give very short proofs of theorems of Erdös–Turán and Blatt concerning the angular distribution of the roots of polynomials. Then we study some examples.
Grâce à des résultats classiques sur les fonctions conjuguées, nous donnons des démonstrations très courtes des théorèmes d’Erdös–Turán et de Blatt sur la distribution angulaire des racines des polynômes. Puis nous étudions quelques exemples.
@article{AIF_1996__46_5_1275_0, author = {Amoroso, Francesco and Mignotte, Maurice}, title = {On the distribution on the roots of polynomials}, journal = {Annales de l'Institut Fourier}, pages = {1275--1291}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {46}, number = {5}, year = {1996}, doi = {10.5802/aif.1548}, mrnumber = {1427125}, zbl = {0867.26009}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1548/} }
TY - JOUR AU - Amoroso, Francesco AU - Mignotte, Maurice TI - On the distribution on the roots of polynomials JO - Annales de l'Institut Fourier PY - 1996 SP - 1275 EP - 1291 VL - 46 IS - 5 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1548/ DO - 10.5802/aif.1548 LA - en ID - AIF_1996__46_5_1275_0 ER -
%0 Journal Article %A Amoroso, Francesco %A Mignotte, Maurice %T On the distribution on the roots of polynomials %J Annales de l'Institut Fourier %D 1996 %P 1275-1291 %V 46 %N 5 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1548/ %R 10.5802/aif.1548 %G en %F AIF_1996__46_5_1275_0
Amoroso, Francesco; Mignotte, Maurice. On the distribution on the roots of polynomials. Annales de l'Institut Fourier, Volume 46 (1996) no. 5, pp. 1275-1291. doi : 10.5802/aif.1548. https://aif.centre-mersenne.org/articles/10.5802/aif.1548/
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