Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.
Updated
Claims
1984_12_01_lewis_rossi_weitsman: Lewis, Rossi and Weitsman's path theorem for subharmonic functions, applied to log|f|, gives every transcendental entire f a path to infinity on which log|f(z)|/log|z| tends to infinity; refereed in Ark. Mat.
2026_04_20_chojecki: Chojecki's note, produced with GPT-5.4 Pro, derives from Wu's path theorem a path to infinity on which log|f|/log|z| tends to infinity and whose initial segments have length O(M(R,f)^eps) for every eps; unreviewed.
2026_04_28_oriike: Oriike's note, produced with GPT-5.5 Pro, gives for every nondecreasing Phi tending to infinity a transcendental entire f with liminf of |f|/Phi(M_f) zero along every path to infinity; Lean file; unreviewed.