Construction of Approximations to Zeta-Values
2008; Springer Nature; Linguagem: Inglês
10.1007/978-3-211-74280-8_16
ISSN2197-795X
AutoresYuri Valentinovich Nesterenko,
Tópico(s)Mathematical Approximation and Integration
ResumoPolylogarithmic functions are defined by series $$ L_k \left( z \right) = \sum\limits_{v = 1}^\infty {\frac{{z^v }} {{v^k }}} , k \geqslant 1. $$ Due to equalities Lk;(1) = ζ(k), k ≥ 2, they play an important role in study of arithmetic properties of Riemann zeta-function ζ(s) at integer points.
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