Gyarmati, Katalin and Sebők, Richárd (2021) On an inequality between pseudorandom measures of lattices. DISCRETE APPLIED MATHEMATICS. ISSN 0166-218X (Submitted)
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Abstract
Mauduit and Sárközy proved the following inequality between the well-distribution measure and the correlation measure of order 2: $W(E_N) \leq 3 \sqrt{N C_2(E_N)}$. This result has been generalized to inequalities between the combined pseudorandom measures and correlation measures of even order by the authors of the present paper. Here the multidimensional case is studied, and this inequality is extended further to the case of binary lattices.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA71 Number theory / számelmélet |
| Depositing User: | Katalin Gyarmati |
| Date Deposited: | 05 Apr 2021 08:24 |
| Last Modified: | 03 Apr 2023 07:12 |
| URI: | http://real.mtak.hu/id/eprint/123442 |
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