On modular functions in 2 variables attached to a family of hyperelliptic curves of genus 3
Keiji Matsumoto (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Keiji Matsumoto (1989)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Jean-Pierre Ramis, Yasutaka Sibuya (1994)
Annales de l'institut Fourier
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We give a new proof of multisummability of formal power series solutions of a non linear meromorphic differential equation. We use the recent Malgrange-Ramis definition of multisummability. The first proof of the main result is due to B. Braaksma. Our method of proof is very different: Braaksma used Écalle definition of multisummability and Laplace transform. Starting from a preliminary normal form of the differential equation the idea of our proof is to interpret...
Daniel Bump, Solomon Friedberg, Dorian Goldfeld (1988)
Acta Arithmetica
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S. Tsuyumine (1987)
Compositio Mathematica
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Michio Ozeki (1976)
Acta Arithmetica
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Larry Goldstein (1980)
Acta Arithmetica
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Donald Rideout (1973)
Acta Arithmetica
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Meng, Chao (2008)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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