TY - JOUR ID - 1077 TI - A hybrid mean value involving a new Gauss sums and Dedekind sums JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Li, X.X. AU - Zhang, W.P. AD - School of Mathematics‎, ‎Northwest University‎, ‎Xi'an‎, ‎Shaanxi‎, ‎710127‎, ‎P‎.R‎. ‎China. AD - School of Mathematics‎, ‎Northwest University‎, ‎Xi'an‎, ‎Shaanxi‎, ‎710127‎, ‎P‎.‎R‎. ‎China. Y1 - 2017 PY - 2017 VL - 43 IS - 6 SP - 1957 EP - 1968 KW - A new Gauss sums‎ KW - ‎Dedekind sums‎ KW - ‎hybrid mean value‎ KW - ‎identity‎ KW - ‎analytic method‎ DO - N2 - ‎In this paper‎, ‎we introduce a new sum‎ ‎analogous to Gauss sum‎, ‎then we use the properties of the‎ ‎classical Gauss sums and analytic method to study the hybrid mean‎ ‎value problem involving this new sums and Dedekind sums‎, ‎and‎ ‎give an interesting identity for it. UR - http://bims.iranjournals.ir/article_1077.html L1 - http://bims.iranjournals.ir/article_1077_2158a37858112c93483a006a0f583088.pdf ER -