Yap10 L 19 Apr 2026

is transcendental, Yap's techniques are often reviewed alongside the complexity of , as both involve root-finding algorithms and high-precision arithmetic. Recent Scholarly Reception

: The result focuses on the uniformity of the computation, meaning a single algorithm can produce the digits for any without needing pre-computed tables for different scales.

lies within and, more specifically, within the Logspace Hierarchy . Key Technical Insights Yap10 L 19

: This established that the language corresponding to the digits of

: Evaluating the exact complexity of specific bits of transcendental and algebraic numbers. Key Technical Insights : This established that the

: Using Yap's logic to refine upper bounds in the Counting Hierarchy for fundamental problems in arithmetic circuits.

: Subsequent research building on Yap10 has shown that the first can be produced in TC0cap T cap C to the 0 power (a subclass of ) for any base Connection to Algebraic Numbers : While within the Logspace Hierarchy .

) , a complexity class representing problems that can be solved by a deterministic Turing machine using a memory space logarithmic to the size of the input.