TY  - GEN
AU  - Ramesh, V. P. 
AU  - Gowtham, R.
TI  - Note on the sum of cubic residues with even and odd index
PY  - 2024///
CY  - New Delhi
PB  - Springer
KW  - Humanities and Applied Sciences
N2  - 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.


UR  - https://link.springer.com/article/10.1007/s13226-023-00370-w
ER  -