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number theory
number theory
Mathematicians Open a New Front on an Ancient Number Problem
For millennia, mathematicians have wondered whether odd perfect numbers exist, establishing an extraordinary list of restrictions for the hypothetical objects in the process. Insight on this question could come from studying the next best things.
Abstractions blog
Computer Scientists Attempt to Corner the Collatz Conjecture
A powerful technique called SAT solving could work on the notorious Collatz conjecture. But it’s a long shot.
number theory
Landmark Math Proof Clears Hurdle in Top Erdős Conjecture
Two mathematicians have proved the first leg of Paul Erdős’ all-time favorite problem about number patterns.
Abstractions blog
Mathematicians Will Never Stop Proving the Prime Number Theorem
Why do mathematicians enjoy proving the same results in different ways?
profiles
A Number Theorist Who Solves the Hardest Easy Problems
In his rapid ascent to the top of his field, James Maynard has cut a path through simple-sounding questions about prime numbers that have stumped mathematicians for centuries.
Abstractions blog
The ‘Useless’ Perspective That Transformed Mathematics
Representation theory was initially dismissed. Today, it’s central to much of mathematics.
number theory
Mathematician Measures the Repulsive Force Within Polynomials
Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart.
Quantized Academy
To Win This Numbers Game, Learn to Avoid Math Patterns
Sizing up patternless sets is hard, so mathematicians rely on simple bounds to help answer their questions.
Abstractions blog
John Conway Solved Mathematical Problems With His Bare Hands
The legendary mathematician, who died on April 11, was curious, colorful and one of the greatest problem-solvers of his generation.