Difference sets and positive exponential sums II: cubic residues in cyclic groups
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866912339386695680 |
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| author | Matolcsi, Mate Ruzsa, Imre Z. |
| author_facet | Matolcsi, Mate Ruzsa, Imre Z. |
| contents | By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set $B_q$ in cyclic groups $\ZZ_q$ such that the difference set $B_q-B_q$ avoids cubic residues modulo $q$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_00406 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Difference sets and positive exponential sums II: cubic residues in cyclic groups Matolcsi, Mate Ruzsa, Imre Z. Number Theory Combinatorics 11L03, 11B50 By constructing suitable nonnegative exponential sums we give upper bounds on the cardinality of any set $B_q$ in cyclic groups $\ZZ_q$ such that the difference set $B_q-B_q$ avoids cubic residues modulo $q$. |
| title | Difference sets and positive exponential sums II: cubic residues in cyclic groups |
| topic | Number Theory Combinatorics 11L03, 11B50 |
| url | https://arxiv.org/abs/2406.00406 |