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JOURNALS // Journal of Siberian Federal University. Mathematics & Physics // Archive

J. Sib. Fed. Univ. Math. Phys., 2025 Volume 18, Issue 2, Pages 283–288 (Mi jsfu1243)

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



© Steklov Math. Inst. of RAS, 2025