On the mean value of general Cochrane sum
Ren, Dongmei ; Yi, Yuan
Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, p. 1-5 / Harvested from Project Euclid
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In this paper, the general Cochrane sum is defined. The main purpose is to study the mean square value problem of general Cochrane sum by using the estimates for trigonometric sums and the properties of general Kloosterman sum, and finally give a sharp asymptotic formula.
Publié le : 2010-01-15
Classification:  Cochrane sum,  Legendre's symbol,  Kloosterman sum,  Gauss sum,  11F20,  11L03,  11L05 
@article{1262271515,
     author = {Ren, Dongmei and Yi, Yuan},
     title = {On the mean value of general Cochrane sum},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {86},
     number = {1},
     year = {2010},
     pages = { 1-5},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1262271515}
}

Ren, Dongmei; Yi, Yuan. On the mean value of general Cochrane sum. Proc. Japan Acad. Ser. A Math. Sci., Tome 86 (2010) no. 1, pp.  1-5. http://gdmltest.u-ga.fr/item/1262271515/