Murmuration density for GL(2) and definite quaternion algebra forms of conductor ℓ^{2a} as a→∞ with ℓ fixed equals the odd-exponent density, yielding a uniform density for conductor ℓ^n as n→∞, with analogous results for Maass forms and the limit ℓ→∞ with n fixed.
Applications of the trace formula
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.NT 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Murmurations in the Depth Aspect for Maass and Modular Forms
Murmuration density for GL(2) and definite quaternion algebra forms of conductor ℓ^{2a} as a→∞ with ℓ fixed equals the odd-exponent density, yielding a uniform density for conductor ℓ^n as n→∞, with analogous results for Maass forms and the limit ℓ→∞ with n fixed.