On the number of solutions of the equation (x 1 +
. . + xn ) m = ax 1 . . . xn in a finite field
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| 024 | 7 | 0 | |a 10.1515/1569392042572177 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/1569392042572177 | ||
| 100 | 1 | |a Baulina |D Yu. N. | |
| 245 | 1 | 0 | |a On the number of solutions of the equation (x 1 + |h [Elektronische Daten] |b . . + xn ) m = ax 1 . . . xn in a finite field |c [Yu. N. Baulina] |
| 520 | 3 | |a We consider the equation (x 1 + . . . + xn ) m = ax 1 . . . xn, where a is a nonzero element of the finite field F q , n ≥ 2, and m is a positive integer. Explicit formulas for the number of solutions of this equation in under the condition d ∈ {1, 2, 3, 6}, where d = gcd(m - n, q - 1), are found. Moreover, we obtain formulas for the number of solutions for arbitrary d > 2 if there exists positive integer l such that d | (pl + 1), where p is the characteristic of F q . | |
| 540 | |a Copyright 2004, Walter de Gruyter | ||
| 773 | 0 | |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/5(2004-10-01), 501-508 |x 0924-9265 |q 14:5<501 |1 2004 |2 14 |o dma | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/1569392042572177 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/1569392042572177 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Baulina |D Yu. N. | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Discrete Mathematics and Applications |d Walter de Gruyter |g 14/5(2004-10-01), 501-508 |x 0924-9265 |q 14:5<501 |1 2004 |2 14 |o dma | ||
| 900 | 7 | |b CC0 |u http://creativecommons.org/publicdomain/zero/1.0 |2 nationallicence | |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||