𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Irrationality Criteria for Mahler′s Numbers

✍ Scribed by J.W. Sander


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
311 KB
Volume
52
Category
Article
ISSN
0022-314X

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Criteria for irrationality of generalize
✍ T Hessami Pilehrood; Kh Hessami Pilehrood 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 257 KB

We generalize Sondow's (ir)rationality criteria for Euler's constant and give necessary and sufficient conditions for irrationality of generalized Euler's constant g a ; as well as obtain new asymptotic formulas for computing g a : The proof is based on constructing linear forms in 1; g a and logari

Algebraic Numbers Close to 1 and Variant
✍ Francesco Amoroso 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 566 KB

Given a rational function R and a real number p 1, we define h p (R) as the L p norm of max[log |R|, 0] on the unit circle. In this paper we study the behaviour of h p (R) providing various bounds for it. Our results lead to an explicit construction of algebraic numbers close to 1 having small Mahle

Remarks On Mahler′s Transcendence Measur
✍ M. Hata 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 291 KB

A sightly improved classical transcendence measure for \(e\) will be given, by showing that the absolute constant in Mahler's measure can be taken to be 1 . We also give an improved linear independence measure for the system \(1, e, \ldots, e^{n}\). fr 1995 Academic Press. Inc

Criteria for the strong law of large num
✍ N. Etemadi 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 341 KB

In the following note we obtain sufficient conditions so that the strong law of large numbers would hold for an arbitrary sequence of random variables taking values in a separable Banach space. The conditions are sharp in the sense that they imply the strong law for 2-exchangeable random vectors and