 Hecke eigenvalue of a nonholomorphic Eisenstein series

ID: hecke-eigenvalue-of-a-nonholomorphic-eisenstein-series

Codex  0 Created 2026-09-24 Updated 2026-10-06

For the normalization

(T_{p} f) (τ) = p^{- 1} (f (p τ) + \sum_{b mod p} f ((τ + b) / p))

, one has

T_{p} G (τ, s) = (p^{s - 1} + p^{- s}) G (τ, s) .

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