Idriss Aberkane

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All published works
Action Title Year Authors
+ THE POLIGNAC CONJECTURE IS TRUE 2024 Idriss Aberkane
+ THE TWIN PRIME, GOLDBACH AND COLLATZ CONJECTURES ARE TRUE 2024 Idriss Aberkane
+ PDF Chat Diophantine imaging reveals the broken symmetry of sums of integer cubes 2024 Eldar Sultanow
Max Henkel
Idriss Aberkane
+ PDF Chat Collatz Attractors Are Space-Filling 2022 Idriss Aberkane
+ PDF Chat Rotating Binaries 2022 Anant Gupta
Idriss Aberkane
Sourangshu Ghosh
Adrian Abold
Alexander Rahn
Eldar Sultanow
+ PDF Chat A Collatz Proof from The Book 2021 Idriss Aberkane
+ PDF Chat A Collatz Proof from The Book 2021 Idriss Aberkane
+ PDF Chat An Algorithm for Linearizing the Collatz Convergence 2021 Alexander Rahn
Eldar Sultanow
Max Henkel
Sourangshu Ghosh
Idriss Aberkane
+ Rotating Binaries. 2021 Anant Gupta
Idriss Aberkane
Sourangshu Ghosh
Adrian Abold
Alexander Rahn
Eldar Sultanow
+ PDF Chat Collatz convergence is a Hydra game 2021 Alexander Rahn
Eldar Sultanow
Idriss Aberkane
+ Collatz convergence is a Hydra game 2021 Alexander Rahn
Eldar Sultanow
Idriss Aberkane
+ Rotating Binaries 2021 Anant Gupta
Idriss Aberkane
Sourangshu Ghosh
Adrian Abold
Alexander Rahn
Eldar Sultanow
+ PDF Chat Endomorphisms of the Collatz quiver 2020 Idriss Aberkane
+ PDF Chat Endomorphisms of the Collatz quiver 2020 Idriss Aberkane
+ Syracuse is solved. 2020 Idriss Aberkane
+ PDF Chat At least almost all Collatz orbits attain bounded values. 2020 Idriss Aberkane
+ PDF Chat L’intersection des arbres 2-3-4-aires complets sur N forme un repère et construit une solution au problème de Syracuse 2020 Idriss Aberkane
+ On the Syracuse conjecture over the binary tree 2017 Idriss Aberkane
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat Inflation Propensity of Collatz Orbits: A New Proof-of-Work for Blockchain Applications 2018 Fabian Bocart
3
+ PDF Chat An Algorithm for Linearizing the Collatz Convergence 2021 Alexander Rahn
Eldar Sultanow
Max Henkel
Sourangshu Ghosh
Idriss Aberkane
2
+ On a Conjecture of Crandall Concerning the qx + 1 Problem 1995 Zachary Franco
Carl Pomerance
2
+ On the restricted ordinal theorem 1944 R. L. Goodstein
2
+ PDF Chat Divisions by Two in Collatz Sequences: A Data Science Approach 2020 Christian Koch
Eldar Sultanow
Sean Cox
2
+ PDF Chat Optimal bounds for the length of rational Collatz cycles 1997 Lorenz Halbeisen
Norbert Hungerbühler
2
+ Accessible Independence Results for Peano Arithmetic 1982 Laurie Kirby
J. B. Paris
2
+ Inflation Propensity of Collatz Orbits: A New Proof-of-Work for Blockchain Applications 2018 Fabian Bocart
2
+ PDF Chat Analogues of the 3<i>x</i>+ 1 Problem in Polynomial Rings of Characteristic 2 2016 Daniel Nichols
1
+ The 3x+1 Problem: A Quasi Cellular Automaton. 1987 Thomas Cloney
Eric Goles
Gérard Y. Vichniac
1
+ On the Syracuse conjecture over the binary tree 2017 Idriss Aberkane
1
+ PDF Chat On the “3𝑥+1” problem 1978 Richard E. Crandall
1
+ Collatz Sequences in the Light of Graph Theory 2020 Eldar Sultanow
Christian Koch
Sean Cox
1
+ Convergence verification of the Collatz problem 2020 David Barina
1
+ On Cycles of Generalized Collatz Sequences. 2020 Anant Gupta
1
+ PDF Chat On the Consistency of the Arithmetic System 2017 Teodor J. Stępień
Łukasz T. Stȩpień
1
+ PDF Chat Non-Ergodicity in open quantum systems through quantum feedback 2020 Lewis A. Clark
Fiona Torzewska
Ben Maybee
Almut Beige
1
+ PDF Chat Local entropy averages and projections of fractal measures 2012 Michael Hochman
Pablo Shmerkin
1
+ Generalizing Halbeisen's and Hungerbühler's optimal bounds for the length of Collatz cycles to 3 n + c cycles 2021 Darrell Cox
Sourangshu Ghosh
Eldar Sultanow
1
+ PDF Chat A Clustering Perspective of the Collatz Conjecture 2021 J. A. Tenreiro Machado
Alexandra M. Galhano
Daniel Cao Labora
1
+ PDF Chat Generalizing Halbeisen's and Hungerbühler's optimal bounds for the length of Collatz cycles to 3 n + c cycles 2021 Darrell Cox
Sourangshu Ghosh
Eldar Sultanow
1
+ PDF Chat Endomorphisms of the Collatz quiver 2020 Idriss Aberkane
1
+ On the "3x + 1" Problem 1978 R. E. Crandall
1
+ Hilbert’s tenth problem: Diophantine equations: positive aspects of a negative solution 1976 Martin Davis
Yuri Matijasevič
Julia Robinson
1
+ Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I 1931 Kurt Gödel
1
+ On Cycles of Generalized Collatz Sequences 2020 Anant Gupta
1
+ PDF Chat Some Remarks on Non-Commutative Extensions of Local Rings 1959 Edward H. Batho
1
+ PDF Chat The Dynamical System Generated by the 3n+1 Function 1998 Günther Wirsching
1
+ 3x+1 search programs 1992 Gary T. Leavens
Mike Vermeulen
1
+ Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation 1967 Harry Furstenberg
1
+ The 3<i>x</i>+ 1 Problem and its Generalizations 1985 Jeffrey C. Lagarias
1
+ The 3n + 1 Problem: A Probabilistic Approach 2012 Darrell Cox
1
+ PDF Chat On the existence of a density 1979 Riho Terras
1
+ PDF Chat Walking Cautiously Into the Collatz Wilderness: Algorithmically, Number Theoretically, Randomly 2006 Edward G. Belaga
Maurice Mignotte
1
+ Permutation invariant properties of primitive cubic quadruples 2016 Werner Hürlimann
1