It is difficult to study the mean value properties of the higher-Kloosterman sums S（m,n,q;k） for any positive integer k.In this paper,the fourth power mean of this exponential sums is studied by combining congruence...It is difficult to study the mean value properties of the higher-Kloosterman sums S（m,n,q;k） for any positive integer k.In this paper,the fourth power mean of this exponential sums is studied by combining congruence theorey with the analytic method,and an interesting asymptotic formula for it is obtained.The new result is an important generalization and improvement of the previous.展开更多
基金Project supported by the Special Foundation for Excellent Young Teacher to Scientific Research (Grant No.2007GQS0142)the Innovation Foundation of Shanghai University
文摘It is difficult to study the mean value properties of the higher-Kloosterman sums S（m,n,q;k） for any positive integer k.In this paper,the fourth power mean of this exponential sums is studied by combining congruence theorey with the analytic method,and an interesting asymptotic formula for it is obtained.The new result is an important generalization and improvement of the previous.
