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Mergelyan’s theorem for zero free functions

✍ Scribed by Khrushchev, Sergey


Book ID
118732827
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
233 KB
Volume
169
Category
Article
ISSN
0021-9045

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Li's criterion and zero-free regions of
✍ Francis C.S. Brown 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 334 KB

Let denote the Riemann zeta function, and let (s) = s (s -1) -s/2 (s/2) (s) denote the completed zeta function. A theorem of X.-J. Li states that the Riemann hypothesis is true if and only if certain inequalities P n ( ) in the first n coefficients of the Taylor expansion of at s = 1 are satisfied f