activity
19962023
most citedJensen polynomials for the Riemann zeta function and other sequences

117 citations · 442 across the 60 of their papers we have counts for

collaborators

66 papers

math.NT2023

Hypergeometry and the AGM over Finite Fields

Eleanor McSpirit, Ken Ono

One of the most celebrated applications of Gauss' hypergeometric functions is in connection with the rapid convergence of sequences and special values that arise in the the…

math.NT2023★ 1 cited

Counting matrix points on certain varieties over finite fields

Yifeng Huang, Ken Ono, Hasan Saad

Classical hypergeometric functions are well-known to play an important role in arithmetic algebraic geometry. These functions offer solutions to ordinary differential equations, an…

math.NT2022

The partition function modulo 4

Ken Ono

It is widely believed that the parity of the partition function is ``random.'' Contrary to this expectation, in this note we prove the existence of infinitely many congruenc…

math.NT2022★ 4 cited

Zeros in the Character Tables of Symmetric Groups with an -Core Index

Eleanor McSpirit, Ken Ono

Let be the character table for where the indices and run over the many integer partitions of In this note we…

math.NT2022

Euler-Kronecker constants for cyclotomic fields

Letong Hong, Ken Ono, Shengtong Zhang

The Euler-Mascheroni constant is the example of an Euler-Kronecker constant of a number field In this note we consider the size of the $…

math.NT2022

Distributions of Hook lengths in integer partitions

Michael Griffin, Ken Ono, Wei-Lun Tsai

Motivated by the many roles that hook lengths play in mathematics, we study the distribution of the number of -hooks in the partitions of . We prove that the limiting distrib…