"Mathematicians Solve 70-Year-Old Disk Eigenvalues Conjecture"
Originally Published 1 year ago — by Phys.org
Mathematicians, including Iosif Polterovich and his collaborators, have proven a special case of George Pólya's 70-year-old conjecture in spectral geometry, concerning the estimation of the frequencies of a round drum or the eigenvalues of a disk. This achievement, published in Inventiones Mathematicae, has theoretical value and potential applications in computational mathematics and numerical computation. The researchers' success highlights the universality of mathematics and the pursuit of elegant solutions with practical implications.