Newton polygon
DOI10.1007/978-3-031-52481-3_8MaRDI QIDQ6606360
Publication date: 16 September 2024
Newton polygoncharacteristic polynomialPuiseux seriesvaluationvaluation ringHardy fieldderivationdifferential ringPfaffian formsolutions of differential equationssolutions of algebraic equationsGevrey character
Newton-type methods (49M15) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Biographies, obituaries, personalia, bibliographies (01A70) History of mathematics in the 18th century (01A50) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) History of mathematics in the 19th century (01A55) Differential algebra (12H05) History of mathematics in the 17th century (01A45) Ordinary differential equations in the complex domain (34M99) Abstract differential equations (12H20) Valued fields (12J10) Research exposition (monographs, survey articles) pertaining to mathematics in general (00-02) Research exposition (monographs, survey articles) pertaining to field theory (12-02)
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