3 papers
math.NT2025
The shifted convolution problem in function fields
Alexandra Florea, Matilde Lalín, Amita Malik +1
We study the shifted convolution problem for the divisor function in function fields in the large degree limit, that is, the average value of where runs over moni…
math.NT2024
Consecutive moderate gaps between zeros of the Riemann zeta function
Steven M. Gonek, Anurag Sahay
Let denote the ordinates of nontrivial zeros of the Riemann zeta function with positive imaginary parts. For fixed (but possibly small), larg…
math.CO2024
Principal eigenvectors and principal ratios in hypergraph Turán problems
Joshua Cooper, Dheer Noal Desai, Anurag Sahay
For a general class of hypergraph Turán problems with uniformity , we investigate the principal eigenvector for the -spectral radius (in the sense of Keevash--Lenz--Mubayi an…