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A new proof of Halász’s theorem, its consequences, Compositio Mathematica 155( · 2019

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Hal\'asz theorems for Gaussian ideals in sectors and short intervals

math.NT · 2026-05-18 · unverdicted · novelty 7.0

Proves quantitative Halász theorems for multiplicative functions on nonzero ideals of ℤ[i], with sectorial and short-interval versions under angular non-pretentiousness and non-degeneracy conditions on conjugate primes.

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  • Hal\'asz theorems for Gaussian ideals in sectors and short intervals math.NT · 2026-05-18 · unverdicted · none · ref 5

    Proves quantitative Halász theorems for multiplicative functions on nonzero ideals of ℤ[i], with sectorial and short-interval versions under angular non-pretentiousness and non-degeneracy conditions on conjugate primes.