4 stories tagged with #number-theory, in publish-time order across the WeSearch catalog. Tag pages update as new stories ingest.
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Humans have disproved the sum-product conjectures for real numbers
We disprove the sum-product conjecture for real numbers by constructing arbitrarily large $A\subset \mathbb{R}$ (whose elements are algebraic integers in a number field of degree $…
Monumental Proof Settles Geometric Langlands Conjecture
In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program.…
Unraveling the good, bad and ugly of rupee’s recent slump | Number Theory
With the rupee at the cusp of hitting 100 against a dollar, everybody is interested in, and has, a view on the exchange rate right now | India News…
An explicit lower bound for the unit distance problem
We show that there are sets of $n$ points in the plane with $n$ arbitrarily large that contain more than $n^{1.014}$ pairs of points separated by a distance exactly $1$. This impro…