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3 results on '"Wong, Kwok Kwan"'

1. Inequality and Nyman-Beurling-Baez-Duarte criteria

Author

Wong, Kwok Kwan

Subjects
Mathematics - General Mathematics, 11Mxx, 46Cxx
Abstract

We proposed a proof of the Riemann hypothesis. The proof is based on the Nyman-Beurling-Baez-Duarte condition. By proving existence of the solution for a system of inequalities, we can show that there is a sequence, which act as the coefficient of Beurling's sequence, can approximate the constant vector in a weighted Hilbert space., Comment: 9 pages, version 1 is wrong. Version 2 fixed an argument in the proof. This is version 4

Published
2023

2. Kaplansky Unit conjecture for complex numbers

Author

Wong, Kwok Kwan

Subjects
Mathematics - Algebraic Geometry, 20C07, 16S34, 46L05
Abstract

We show that Kaplansky's unit conjecture is true, under the assumption that the underlying field is complex., Comment: The second lemma contains flaws

Published
2021

3. On the strengthening of Nyman-Beurling criteria and Riemann hypothesis

Author

Wong, Kwok Kwan

Abstract

We show that the span of the Beurling sequence is dense in the sequence space with a weighted inner product. Based on the condition posed by Bagchi and Baez-Duarte, which is a strengthening condition of Nyman-Beurling criteria, is equivalent to showing the Riemann hypothesis does hold.

Published
2022
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