On probabilistic generalizations of the Nyman-Beurling criterion for the zeta function
نویسندگان
چکیده
The Nyman-Beurling criterion is an approximation problem in the space of square integrable functions on (0,?), which equivalent to Riemann hypothesis. This involves dilations fractional part function by factors ? k ?(0,1), k?1. We develop probabilistic extensions considering these as random: this yields new structures and criteria, one them having a significant overlap with general strong Báez-Duarte criterion.
منابع مشابه
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ژورنال
عنوان ژورنال: Confluentes mathematici
سال: 2021
ISSN: ['1793-7434', '1793-7442']
DOI: https://doi.org/10.5802/cml.71