Lower bounds for linear forms in values of polylogarithms

DOI10.1007/s11006-005-0057-4zbMath1088.11055OpenAlexW2031015967MaRDI QIDQ2387880

Tatiana Hessami Pilehrood, Khodabakhsh Hessami Pilehrood

Publication date: 5 September 2005

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11006-005-0057-4

zbMATH Keywords

polylogarithmic functionHermite-Padé approximation of the second kindlinear-form

Mathematics Subject Classification ID

Measures of irrationality and of transcendence (11J82) Irrationality; linear independence over a field (11J72)

Cites Work

• On the linear independence of the values of polylogarithmic functions
• Padé approximations to the generalized hypergeometric functions. I
• Lower bounds for linear forms in values of certain hypergeometric functions.
• On lower estimates for linear forms involving certain transcendental numbers
• Lower bounds for polynomials in the values of certain entire functions
• On Some Diophantine Inequalities Involving the Exponential Function
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