Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical ...
All equals are not created equal—mathematicians sometimes play fast and loose. In programming, equal signs mean different things, and variables have different types. Turning intuitive math expertise ...
https://doi.org/10.4169/amer.math.monthly.121.02.162 https://www.jstor.org/stable/10.4169/amer.math.monthly.121.02.162 The Monthly publishes articles, as well as ...
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Mathematicians Wrote a Proof for a 100-Year-Old Problem—and May Have Just Changed Geometry
A 125-page proof posted to arXiv may represent a huge breakthrough in geometric measure theory. This problem has implications in fields like encryption, computer science, and number theory. How much ...
This is an updated version of a story first published on May 5, 2024. For many high school students returning to class, it may seem like geometry and trigonometry were created by the Greeks as a form ...
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