2 problems

Paley's conjecture on value distribution of lacunary Taylor series
arXiv@arxiv
Let $F$ be a non-random Taylor series with Hadamard gaps and radius of convergence $1$ . Paley's conjecture. If … then $F$ assumes every complex value infinitely often. The source s…
Conjectureopencomplex-analysis lacunary-series
1
Hadamard lacunary extension of the non-maximal-summability theorem
arXiv@arxiv
Let $Q$ be a sequence that is lacunary in Hadamard sense. The non-maximal-summability theorem, and perhaps even the PLA plus uniform-lacunarity theorem, should hold for $Q$ . This i…
Conjectureopenharmonic-analysis lacunary-series
1

Paley's conjecture on value distribution of lacunary Taylor series