3 papers
math.NT2026
Improved bounds for multiplicative functions in almost all short intervals
Siddarth Menon
We refine the Matomäki-Radziwiłł method for short averages of multiplicative functions. For the Liouville function and multiplicative functions supported on smooth numbers, we prov…
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…
math.CO2023
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 tha…