3 papers
math.NT2026
Improved bounds for multiplicative functions in almost all short intervals
Siddarth Menon
We refine the Matomäki-RadziwiÅÅ method for short averages of multiplicative functions. For the Liouville function and multiplicative functions supported on smooth numbers, we p…
math.CO2025
Classifying Tractable Instances of the Generalized Cable-Trench Problem
Mya Davis, Carl Hammarsten, Siddarth Menon +2
Given a graph rooted at a vertex and weight functions, , the generalized cable-trench problem (CTP) is to find a single spanning tree t…
math.NT2024
Moments of random multiplicative functions over function fields
Maximilian C. E. Hofmann, Annemily Hoganson, Siddarth Menon +2
Granville-Soundararajan, Harper-Nikeghbali-Radziwill, and Heap-Lindqvist independently established an asymptotic for the even natural moments of partial sums of random multiplicati…