On accuracy of mathematical languages used to deal with the Riemann zeta function and the Dirichlet eta function
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Publication:1760266
DOI10.1134/S2070046611020051zbMath1268.11114arXiv1203.4142OpenAlexW2070664737MaRDI QIDQ1760266
Publication date: 13 November 2012
Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4142
Riemann zeta functiondivergent seriesinfinite and infinitesimal numbers and numeralsDirichlet eta functionaccuracy of mathematical languages
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Cites Work
- Numerical point of view on calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains
- An application of grossone to the study of a family of tilings of the hyperbolic plane
- The use of grossone in mathematical programming and operations research
- Higher order numerical differentiation on the infinity computer
- Numerical computations and mathematical modelling with infinite and infinitesimal numbers
- Counting systems and the first Hilbert problem
- Methodology of Numerical Computations with Infinities and Infinitesimals
- A new applied approach for executing computations with infinite and infinitesimal quantities
- Zeros of Partial Sums of the Riemann Zeta Function
- Zeros of Sections of the Zeta Function. I
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