On Transcendental Numbers

Summary

The exponential function axioms related to the Yang-Baxter equation are studied and new inequalities for transcendental numbers are stated and proved.

Keywords

Transcendental number, Transcendental function, Transcendental equation, Mathematics, Axiom

References

Quasitriangular Structure of Myhill-Nerode BialgebrasRobert G. Underwood — 2012
Special Issue: "q-Series and Related Topics in Special Functions and Analytic Number Theory" - ForewordH. M. Srivastava — 2013
The Duality between Corings and Ring ExtensionsFlorin F. Nichita, Bartosz Zieliński — 2012
From Coalgebra to Bialgebra for the Six-Vertex Model: The Star-Triangle Relation as a Necessary Condition for Commuting Transfer MatricesJeffrey R. Schmidt — 2012
The Hecke BicategoryAlexander E. Hoffnung — 2010
Gradings, Braidings, Representations, Paraparticles: Some Open ProblemsK. Kanakoglou — 2012
Hopf Algebra Symmetries of an Integrable Hamiltonian for Anyonic PairingJon Links — 2012
Introduction to the Yang-Baxter Equation with Open ProblemsFlorin F. Nichita — 2012
Yang-Baxter R matrix, entanglement and YangianGangcheng Wang, Kang Xue, Chunfang Sun — 2010
Yang-Baxter Systems, Algebra Factorizations and Braided CategoriesFlorin F. Nichita — 2013
R-Matrices, Yetter-Drinfel0d Modules and Yang-Baxter EquationVictoria Lebed — 2013
On Models for TransdisciplinarityFlorin F. Nichita — 2011
Yang-Baxter ˘ R matrix, entanglement and Yangian
Transdisciplinarity-Past, Present and FutureB. Nicolescu — 2009

Cited by

On Transcendental Numbers: New Results and a Little HistorySolomon Marcus, Florin F. Nichita — 2015
On the Nature of γ-th Arithmetic Zeta FunctionsPavel Trojovský — 2020
Algebraic Numbers of the form αT with α Algebraic and T TranscendentalŠtěpán Hubálovský, Eva Trojovská — 2020

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