A Note on the Classical Gauss Sums
The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums <inline-formula> <math display="inline"> <semantics> <mrow...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-12-01
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| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/6/12/313 |
| Summary: | The main purpose of this paper is to study the computational problem of one kind rational polynomials of the classical Gauss sums, and using the purely algebraic methods and the properties of the character sums <inline-formula> <math display="inline"> <semantics> <mrow> <mspace width="0.177778em"></mspace> <mi>mod</mi> <mspace width="0.177778em"></mspace> <mi>p</mi> </mrow> </semantics> </math> </inline-formula> (a prime with <inline-formula> <math display="inline"> <semantics> <mrow> <mi>p</mi> <mo>≡</mo> <mn>1</mn> <mspace width="0.177778em"></mspace> <mi>mod</mi> <mspace width="0.177778em"></mspace> <mn>12</mn> </mrow> </semantics> </math> </inline-formula>) to give an exact evaluation formula for it. |
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| ISSN: | 2227-7390 |