Three Hopf algebras from number theory, physics & topology, and their common background I: operadic & simplicial aspects [PDF]
Communications in Number Theory and Physics, 2020 We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer for renormalization, and a ...
Gálvez-Carrillo, Imma +2 more
core +5 more sources
Three Hopf algebras from number theory, physics & topology, and their common background II: general categorical formulation [PDF]
Communications in Number Theory and Physics, 2020 We consider three a priori totally different setups for Hopf algebras from number theory, mathematical physics and algebraic topology. These are the Hopf algebra of Goncharov for multiple zeta values, that of Connes-Kreimer for renormalization, and a ...
Imma Gálvez-Carrillo +2 more
semanticscholar +5 more sources
Book Review: A computational introduction to number theory and algebra [PDF]
, 2009 Gregor Kemper
openalex +2 more sources
The Work of Kim and Roush on Questions of Decidability in Algebra and Number Theory [PDF]
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2013 Kirsten Eisenträger
openalex +2 more sources
Preface to Algebra and Number Theory [PDF]
International Congress on Mathematical Software, 2019 Temha Erkoç
openalex +2 more sources
Kinematic Hopf Algebra for Bern-Carrasco-Johansson Numerators in Heavy-Mass Effective Field Theory and Yang-Mills Theory. [PDF]
Physical Review Letters, 2021 We present a closed formula for all Bern-Carrasco-Johansson (BCJ) numerators describing D-dimensional tree-level scattering amplitudes in a heavy-mass effective field theory with two massive particles and an arbitrary number of gluons.
A. Brandhuber +4 more
semanticscholar +1 more source
Nemo/Hecke: Computer Algebra and Number Theory Packages for the Julia Programming Language [PDF]
International Symposium on Symbolic and Algebraic Computation, 2017 We introduce two new packages, Nemo and Hecke, written in the Julia programming language for computer algebra and number theory. We demonstrate that high performance generic algorithms can be implemented in Julia, without the need to resort to a low ...
C. Fieker +3 more
semanticscholar +1 more source
A Wavelet Multiscale Mathematical Model for Quality of Life Index Measuring
Applied Sciences, 2022 The present paper is concerned with the study of the quality of life index. Such an index has become an important index for measuring the well-being of individuals.
Majed S. Balalaa, Anouar Ben Mabrouk
doaj +1 more source
Function Theories in Cayley-Dickson Algebras and Number Theory [PDF]
Milan Journal of Mathematics, 2019 In the recent years a lot of effort has been made to extend the theory of hyperholomorphic functions from the setting of associative Clifford algebras to non-associative Cayley-Dickson algebras, starting with the octonions.
R. S. Kraußhar
semanticscholar +1 more source
Wavelet Time-Scale Modeling of Brand Sales and Prices
Applied Sciences, 2022 Marketing is the way we ensure our sales are the best in the market, our prices the most accessible, and our clients satisfied, thus ensuring our brand has the widest distribution.
Tawfeeq M. Alanazi, Anouar Ben Mabrouk
doaj +1 more source