Transcendence Theory
Gelfond–Schneider, Baker's theorem, and modular transcendence.
Transcendence Theory. Gelfond–Schneider, Baker’s theorem, and modular transcendence.
Foundations and canonical references
The standard treatments of transcendence theory approach the subject from complementary angles. Baker, Transcendental Number Theory (1990) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for transcendence theory include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 1990Transcendental Number Theorybaker-1990
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