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Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems.
A graduate student has helped illuminate a long-suspected connection between addition and multiplication.
Digital security depends on the difficulty of factoring large numbers. A new proof shows why one method for breaking digital encryption won’t work.
Equations, like numbers, cannot always be split into simpler elements.
A new statistical model appears to undermine long-held assumptions in number theory. How much should it be trusted when all that really matters is proof?
Two mathematicians have found what they say is a hole at the heart of a proof that has convulsed the mathematics community for nearly six years.
The 30-year-old math sensation Peter Scholze is now one of the youngest Fields medalists for “the revolution that he launched in arithmetic geometry.”