PV-numbers and generalizations; other special algebraic numbers; Mahler measure
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Counts include all statuses and descendants. Classifications are editorial or inferred from community fields, not an AMS assessment of the problem.
Schur–Siegel–Smyth trace constant: determine C 86 or improve its bounds; the repository records 1.80203 (lower) and 1.8216 (upper).
Essential minimum of the Zhang-Zagier height: determine C 82 or improve its bounds; the repository records 0.24874 (lower) and 0.2536331090204145 (upper).
Asymptotic Dobrowolski constant for Lehmer’s problem: determine C 40b or improve its bounds; the repository records 9/4 (lower) and infty (upper).
Lehmer’s Mahler measure constant: determine C 40a or improve its bounds; the repository records 1 (lower) and 1.176280... (upper).
These are selected sources for the parent class. Article coverage is a first reviewed selection, and may not cover this exact subcategory.
Mathematical Sciences Publishers
Algebra, number theory and their connections
European Mathematical Society / EMS Press
Mathematical surveys
2019 · 3 questions extracted
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