gttrcr
- As a senior researcher
- my research activity in mathematics ranges from number theory to Riemannian manifolds. I have a great passion for physics and computer science but I have always thought that mathematics is the art of ideas, the study of the logic of thought under which it was possible to describe what the human intellect knows and communicates.
- As a co-founder
- I am the technical director at the company I co-founded that deals with the integration of technologies and the simplification of technological processes by moving the complexity from use to development. The future of technology is TRUE process simplification and the shifting of complexity into the development process.
- As a human
- I let it be, the one be the whole, the Universe act and the higher will be done. She knows the right way.
All our knowledge begins with the senses, proceeds then to the understanding, and ends with reason. There is nothing higher than reason. Immanuel Kant.
This sentence from Kant was my starting point from which I discovered the greatness of the human region and the existence of what transcends it: the spirit that tends to the supersensible to which man can approach through awareness: the intimate and deep knowledge of the whole. These are not the object of interest of mathematics, but perhaps in the future they will become. The research continues…
Research sites
Number theory and discrete mathematics
- Gatti, R. Gilbreath Equation, Gilbreath Polynomials, and Upper and Lower Bounds for Gilbreath Conjecture. Mathematics 2023, 11, 4006. https://doi.org/10.3390/math11184006
- Gatti, R. and OEIS Foundation Inc. (2022), Triangle read by rows where row m is the m-th Gilbreath polynomial and column n is the numerator of the coefficient of the n-th degree term., Entry A347924 in The On-Line Encyclopedia of Integer Sequences, 2021, http://oeis.org/A347924.
- Gatti, R. and OEIS Foundation Inc. (2022), a(n) is the lowest common denominator of n-th Gilbreath polynomial., Entry A347925 in The On-Line Encyclopedia of Integer Sequences, 2021, http://oeis.org/A347925.
- Gatti, R. and OEIS Foundation Inc. (2022), Number of distinct solutions for the maximum value of the Gilbreath equation of an ordered sequence of n integers., Entry A346270 in The On-Line Encyclopedia of Integer Sequences, 2021, http://oeis.org/A346270.
Information and knowledge theory
Algebra
- Gatti, R. “DeBruijnNewmanH.” From MathWorld–A Wolfram Web Resource. https://resources.wolframcloud.com/FunctionRepository/resources/DeBruijnNewmanH/
- Gatti, R. “HyperDet.” From MathWorld–A Wolfram Web Resource. https://resources.wolframcloud.com/FunctionRepository/resources/HyperDet/
- Gatti, R. “HyperTr.” From MathWorld–A Wolfram Web Resource. https://resources.wolframcloud.com/FunctionRepository/resources/HyperTr/
- Gatti, R. “IdentityHypermatrix.” From MathWorld–A Wolfram Web Resource. https://resources.wolframcloud.com/FunctionRepository/resources/IdentityHypermatrix/
Other issues
- Riccardo Gatti. DIY Time Machine. ScienceOpen Preprints. 2023. DOI: 10.14293/PR2199.000233.v1
- Gatti, Riccardo. “From Doppler effect to black hole.” 2024.
- Gatti, Riccardo. “Launch proposals for a space projectile.” (2024).