3 papers
math.NT2026
Centered Moments of Weighted One-Level Densities of -Functions
Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6
Katz and Sarnak conjectured that the behavior of zeros near the central point of any family of -functions is well-modeled by the behavior of eigenvalues near of some classic…
math.NT2025
Properties of Multidimensional Vector Zeckendorf Representations
Ivan Bortnovskyi, June Duvivier, Pedro Espinosa +7
Zeckendorf's Theorem says that for all , every nonnegative integer has a unique -Zeckendorf representation as a sum of distinct -bonacci numbers, where no conse…
math.NT2025
Breaking Universality in the Lower Order Terms in the 1-level and 2-level Density of Holomorphic Cusp Newforms
Lawrence Dillon, Xiaoyao Huang, Say-Yeon Kwon +6
The Katz-Sarnak density conjecture states that, as the analytic conductor , the distribution of the normalized low-lying zeros (those near the central point …