hierarchy
发表于 2025-3-21 16:42:11
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Canvas
发表于 2025-3-21 22:20:35
Book 2000tive version of which is also included. It yields new results of simultaneous approximation and of algebraic independence. 2 chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to P. Philippon) onlinear algebraic groups.
冬眠
发表于 2025-3-22 03:03:35
0072-7830 c independence. 2 chapters written by D. Roy provide complete and at the same time simplified proofs of zero estimates (due to P. Philippon) onlinear algebraic groups.978-3-642-08608-3978-3-662-11569-5Series ISSN 0072-7830 Series E-ISSN 2196-9701
名词
发表于 2025-3-22 07:25:19
Introduction and Historical Surveyas well as in the nonhomogeneous version. We also describe the six exponentials Theorem, we present the state of the art on the problem of algebraic independence of logarithms of algebraic numbers. We conclude with a few comments on the Linear Subgroup Theorem.
Proponent
发表于 2025-3-22 12:37:41
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ciliary-body
发表于 2025-3-22 15:04:55
Heights of Algebraic Numberslle’s inequality (§ 3.5) is an extension of these estimates and provides a lower bound for the absolute value of any nonzero algebraic number. More specifically, if we are given finitely many (fixed) algebraic numbers ..,...,.., and a polynomial . ∈ ℤ which does not vanish at the point (.
ciliary-body
发表于 2025-3-22 20:39:41
Zero Estimate, by Damien Royng is prescribed. This result takes into account the multidegrees of the obstruction subgroup and improves in this way the earlier zero estimates of D. W. Masser and D. W. Masser and G. Wüstholz [MaWü 19811 A refinement will be given in Chap. 8 when multiplicities are introduced.
LAPSE
发表于 2025-3-23 00:04:12
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Flinch
发表于 2025-3-23 03:46:12
Multiplicity Estimate by Damien Royally due to P. Philippon (see ) and again we restrict to commutative linear algebraic groups. This allows us to be more concrete and brings simplifications in the proof of the result. For an outline of the zero estimate of P. Philippon on a general commutative algebraic group, the reader ma
使人烦燥
发表于 2025-3-23 05:59:07
On Baker’s Methodles. In Chapters 6 and 7, we extended Schneider’s method in several variables in order to prove the homogeneous transcendence result (Theorem 1.5) as well as quantitative refinements. The proofs did not involve any derivative at all. In Chap. 9, a single derivative was introduced, so that a second p