2 papers
math.NT2024
Sign changes along geodesics of modular forms
Dubi Kelmer, Alex Kontorovich, Christopher Lutsko
Given a compact segment, , of a cuspidal geodesic on the modular surface, we study the number of sign changes of cusp forms and Eisenstein series along . We prove uncondition…
math.HO2023
Notes on a Path to AI Assistance in Mathematical Reasoning
Alex Kontorovich
These informal notes are based on the author's lecture at the National Academies of Science, Engineering, and Mathematics workshop on "AI to Assist Mathematical Reasoning" in June…