FLOUR
发表于 2025-3-26 22:45:20
978-3-528-06317-7Springer Fachmedien Wiesbaden 1989
anthesis
发表于 2025-3-27 03:32:40
G-Functions and Geometry978-3-663-14108-2Series ISSN 0179-2156
kyphoplasty
发表于 2025-3-27 07:31:13
0179-2156 Overview: 978-3-528-06317-7978-3-663-14108-2Series ISSN 0179-2156
脆弱带来
发表于 2025-3-27 11:25:36
Introductionitute a new topic: they were brought in by C.L.Siegel in 1929, in his famous paper on applications of diophantine approximation. He defined G-functions to be the formal power series y = Σa.x. whose coefficients a lie in some algebraic number field K , which fulfill the following three conditions:
Inflammation
发表于 2025-3-27 13:36:29
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傲慢人
发表于 2025-3-27 19:47:40
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meditation
发表于 2025-3-28 01:52:45
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FELON
发表于 2025-3-28 06:02:55
Independence of Values of G-Functionsniques he found (and described in the same paper) for studying the diophantine approximation properties of values of what he called E-functions. However no proof had appeared, and the first attempt in the direction of Siegel’s statements was in M.S. Numagomedov’s work, more than fourty years later.
contradict
发表于 2025-3-28 08:12:51
Towards Grothendieck’s Conjecture on Periods of Algebraic Manifolds̄ among the periods of an (algebraic) projective manifold X defined over Φ̄ is determined by the Hodge cycles on the powers of X. (or by the algebraic cycles, in the strongest version). Building upon methods of chapter VII and of variation of Hodge structure, we give a partial answer to this conject
过于光泽
发表于 2025-3-28 12:38:48
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