Research output: Contribution to journal › Article › peer-review
We show that the analytic continuations of Helson zeta functions ζχ(s)=∑1∞χ(n)n−s can have essentially arbitrary poles and zeroes in the strip 21/40<ℜs<1 (unconditionally), and in the whole critical strip 1/2<ℜs<1 under Riemann Hypothesis.
Translated title of the contribution | О нулях и полюсах дзета-функции Хелсона |
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Original language | English |
Article number | 109398 |
Journal | Journal of Functional Analysis |
Volume | 282 |
Issue number | 8 |
DOIs | |
State | Published - 15 Apr 2022 |
ID: 98050016