Spectral theory; trace formulas (e.g., that of Selberg)
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Selberg congruence spectral-gap constant: determine C 61 or improve its bounds; the repository records 0 (lower) and frac 7 64 (upper).
mathrm GL 2 Ramanujan conjecture exponent: determine C 56 or improve its bounds; the repository records 0 (lower) and tfrac 7 64 =0.109375 (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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