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期刊论文

ON A PROBLEM OF D.H.LEHMER AND KLOOSTERMAN SUMS*

张文鹏ZHANG WENPENG

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摘要/描述

Let q≥3 is an odd number, a is any fixed positlvc integer with (a, q)=1. For each integer b with 1≤b<q and (b, q)=1, it is clear that there exists one and only one c with 0<c<q such that bc≡a (rood q). Lct N (a, q) denotcs thc numbcr of all solutions of the congruent equation bc≡a (mod q) for 1≤b, c<q in which b and c arc of opposite parity, and lct E(a, q)=N(a, q)-Ф(q). The main purpose of this paper is to study the distribution properties of E(a,q), and give a sharper hybrid mean value formula involving E (a, q) and Kloostcrman sums.

版权说明:以下全部内容由张文鹏上传于   2005年03月08日 19时13分00秒,版权归本人所有。

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