scholarly journals Some identities involving certain Hardy sum and Kloosterman sum

2016 ◽  
Vol 165 ◽  
pp. 355-362 ◽  
Author(s):  
Wen Peng ◽  
Tianping Zhang
Keyword(s):  
Kloosterman Sum

scholarly journals OPPOSITE‐SIGN KLOOSTERMAN SUM ZETA FUNCTION

Mathematika ◽  
2016 ◽  
Vol 62 (2) ◽  
pp. 406-429 ◽  
Author(s):  
Eren Mehmet Kıral
Keyword(s):  
Zeta Function ◽  
Opposite Sign ◽  
Kloosterman Sum

scholarly journals Kloosterman sum identities over F2m

2004 ◽  
Vol 279 (1-3) ◽  
pp. 277-286 ◽  
Author(s):  
Henk D.L. Hollmann ◽  
Qing Xiang
Keyword(s):  
Kloosterman Sum

Weighted Quadratic Partitions Over a Finite Field

1953 ◽  
Vol 5 ◽  
pp. 317-323 ◽  
Author(s):  
Leonard Carlitz
Keyword(s):  
Finite Field ◽  
Gauss Sums ◽  
Kloosterman Sum

Using some known results on Gauss sums in a finite field, it is shown that the sum (1.3) defined below can either be evaluated explicitly or expressed in terms of a Kloosterman sum. The same result applies to the more general sum S(α, λ, Q) defined in (5.1). The latter sum also satisfies the reciprocity formula (5.5). Some related sums are discussed in §§6, 7.

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