activity
19992025
most citedPlanck-scale mass equidistribution of toral Laplace eigenfunctions

29 citations · 182 across the 43 of their papers we have counts for

collaborators

54 papers

math.CO2025

The number of possibilities for random dating

Aaron Abrams, Rod Canfield, Andrew Granville

Let be a regular graph and a subgraph on the same vertex set. We give surprisingly compact formulas for the number of copies of one expects to find in a random subgraph…

math.NT2023

The multiplication table constant and sums of two squares

Andrew Granville, Cihan Sabuncu, Alisa Sedunova

We will show that the number of integers that can be written as the square of an integer plus the square of a prime equals minus a seco…

math.NT2023

Missing digits, and good approximations

Andrew Granville

James Maynard has taken the analytic number theory world by storm in the last decade, proving several important and surprising theorems, resolving questions that had seemed far out…

math.NT2023★ 2 cited

Fibonacci primes, primes of the form and beyond

Jon Grantham, Andrew Granville

We speculate on the distribution of primes in exponentially growing, linear recurrence sequences in the integers. By tweaking a heuristic which is successfully us…

math.HO2023

Accepted proofs: Objective truth, or culturally robust

Andrew Granville

How does the mathematical community accept that a given proof is correct? Is objective verification based on explicit axioms feasible, or must the reviewer's experiences and prejud…

math.NT2022★ 1 cited

Classifying linear division sequences

Andrew Granville

We classify all linear division sequences in the integers, a problem going back to at least the 1930s. As a corollary we also classify those linear recurrence sequences in the inte…