"Mathematicians Solve 70-Year-Old Music Geometry Puzzle"

Researchers have made a breakthrough in spectral geometry by proving a special case of Pólya’s conjecture related to the eigenvalues of a disk, a problem in mathematics first formulated in 1954. This work not only highlights the universal value and artistic beauty of mathematical research but also has potential practical applications in computational mathematics and numerical computation. The researchers' achievement, published in the mathematical journal Inventiones Mathematicae, represents a significant advance in understanding the geometry of music and wave propagation.