3x + 1 Problem Annotated Bibliography (original) (raw)

The 3x+1 problem: An annotated bibliography (1963--1999)

Jeffrey Lagarias

2003

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The 3x+ 1 problem: An annotated bibliography (1963--1999)(sorted by author)

Jeffrey Lagarias

Arxiv preprint math/0309224, 2003

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The 3x+ 1 Problem: An Annotated Bibliography, II (2000-2009)

Jeffrey Lagarias

Arxiv preprint math/0608208, 2006

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On the 3x+1 conjecture

Peter Hellekalek

arXiv (Cornell University), 2016

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The 3 x + 1 Problem : An Annotated Bibliography ( 1963 – 2000 )

Jeffrey Lagarias

2006

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Some Observations on the 3x+1 Problem

Dhananjay Mehendale

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Is a solution to the 3x + 1 problem in sight?

Peter Schorer

SIGACT news, 1997

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The Structure of the 3x + 1 Function: An Introduction

Peter Schorer

1995

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3n+1 Problem and its Dynamics

Bishnu Hari Subedi

Nepal Journal of Mathematical Sciences

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The 3x+1 Problem as a String Rewriting System

Joseph Sinyor

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Collatz conjecture revisited: an elementary generalization

Amauri Gutiérrez

Acta Universitatis Sapientiae, Mathematica, 2020

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A proof of the Collatz conjecture

Timoteo Carletti

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Solution to the Collatz Conjecture

Samuel Ferrer Colás

Solution to the Collatz Conjecture

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The 3x+1 Problem: An Overview

Jeffrey Lagarias

Cornell University - arXiv, 2021

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A new conjecture equivalent to Collatz conjecture

Giulio Masetti

arXiv (Cornell University), 2023

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A dynamical approach towards Collatz conjecture

Pablo Castaneda

arXiv: Dynamical Systems, 2019

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New lower bounds for the size of a non-trivial loop in the Collatz 3x+ 1 and generalized px+ q problem

Roupam Ghosh

Arxiv preprint arXiv:0907.3086, 2009

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The 3n ± p Conjecture: A Generalization of Collatz Conjecture

Florentin Smarandache

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Density bounds for the 3x+13x+13x+1 problem. I. Tree-search method

Jeffrey Lagarias

Mathematics of Computation, 1995

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A Proof of the Multiplicative 1-2-3 Conjecture

herve hocquard

Combinatorica

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Some natural generalizations of the Collatz Problem

Walter Carnielli

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Explorations of the Collatz Conjecture (mod m)

Micah Jackson

2014

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The 3x + 1 semigroup

Jeffrey Lagarias

2005

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Proving and Proof of 3n + 1 or Collatz Conjecture: The Traps, an Analysis and a Flowchart and Their ID (Identification

Ismael T Fortunado

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On a List Variant of the Multiplicative 1-2-3 Conjecture

herve hocquard

arXiv (Cornell University), 2021

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Collatz-Syracuse Conjecture 3x + 1 Problem –Cycles Generated by Odd Numbers

Vicente Padilla

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Proof of The Collatz Conjecture

Kurmet Sultan

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The Collatz Conjecture A PROPOSAL FOR ITS SOLUTION

Vasilios Andritsos

The Collatz Conjecture A PROPOSAL FOR ITS SOLUTION, 2024

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A Binomial Representation of the 3x + 1 problem

Yuri Matiyasevich, Maurice Margenstern

ACTA ARITHMETICA-WARSZAWA-, 1999

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A new inherent approach to solving the Collatz 3n+1 problem and its analogues

Mikhail Bokiy

Preprint, 2025

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Existence of repetitions of digits in the construction of periodic sequences related to 3x+1 problem Proof of the theorem on the periods in the 3-adic representation of terms of periodic sequences that appear in Collatz problem

yagub aliyev

2016 IEEE 10th International Conference on Application of Information and Communication Technologies (AICT), Baku, Azerbaijan, 12-14 Oct. , 337-340. , 2016

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A Simple binary analysis of the Collatz Conjecture

Daniele Grosso

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Novel Theorems and Algorithms Relating to the Collatz Conjecture

Peter Shiue

International Journal of Mathematics and Mathematical Sciences

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The 3-flow conjecture, factors modulo k, and the 1-2-3-conjecture

Cun-quan Zhang

Journal of Combinatorial Theory, Series B, 2016

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Two remarks on the Collatz cycle conjecture

Masayoshi Kaneda

2010

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