J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 2, Pages 283–288
(Mi jsfu1243)
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Another proof of Puiseux's theorem on algebraic functions
Maxim I. Buzurnyy,
Ilya A. Lopatin Siberian Federal University, Krasnoyarsk, Russian Federation
Abstract:
The paper gives a simpler proof of Puiseux's theorem on the algebraic function for polynomials of a special form.
Keywords:
Newton diagram, Puiseux series, singular point, Weierstrass polynomial.
UDC:
517.55 Received: 12.10.2024
Received in revised form: 04.11.2024
Accepted: 27.12.2024
Language: English
© , 2025