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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
Coauthor
Papers Together
Alexander Rahn
6
Eldar Sultanow
4
Sourangshu Ghosh
4
Eldar Sultanow
3
Adrian Abold
3
Anant Gupta
2
Anant Gupta
1
Max Henkel
1
Max Henkel
1
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