Some computational formulas related the Riemann zeta-function tails

DOI10.1186/s13660-016-1068-2zbMath1415.11115OpenAlexW2346836172WikidataQ59467387 ScholiaQ59467387MaRDI QIDQ281266

Hongmin Xu

Publication date: 10 May 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1068-2

zbMATH Keywords

inequalityRiemann zeta-functioncontinued fractionmultiple-correction methodtelescoping method

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Continued fractions and generalizations (11J70) Special sequences and polynomials (11B83)

Related Items (5)

The inverses of tails of the Riemann zeta function ⋮ Integral parts of reciprocals of the Hurwitz zeta function and the polynomial families that arise in the study thereof ⋮ Unnamed Item ⋮ On Certain Reciprocal Sums ⋮ On the integer part of the reciprocal of the Riemann zeta function tail at certain rational numbers in the critical strip

Cites Work

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• On the reciprocal sums of the generalized Fibonacci sequences
• The sums of the reciprocals of Fibonacci polynomials and Lucas polynomials
• Several identities involving the Fibonacci polynomials and Lucas polynomials
• The infinite sum of reciprocal Pell numbers
• Restricted partitions and \(q\)-Pell numbers
• Multiple-correction and continued fraction approximation. II
• On the reciprocal sums of higher-order sequences
• The infinite sum of the cubes of reciprocal pell numbers
• Multiple-correction and faster approximation
• More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences
• Some identities related to Riemann zeta-function

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