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Note on the sum of cubic residues with even and odd index
Publication details: New Delhi Springer 2024Edition: Vol.55(1), MarDescription: 388-391pSubject(s): Online resources: In: Indian journal of pure and applied mathematicsSummary: Let p be an odd prime and . We prove that the sum of cubic residues of with even index equals the sum of cubic residues of with odd index if and only if . We also prove that for , is sufficient but not necessary for the two sums to be equal. We also present a closed-form expression for the sum and study some properties.| Item type | Current library | Status | Barcode | |
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School of Engineering & Technology Archieval Section | Not for loan | 2024-1574 |
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Let p be an odd prime and . We prove that the sum of cubic residues of with even index equals the sum of cubic residues of with odd index if and only if . We also prove that for ,
is sufficient but not necessary for the two sums to be equal. We also present a closed-form expression for the sum and study some properties.
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