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欧拉商的同余式及其应用(III)

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欧拉商的同余式及其应用(III) 蔡天新1, 钟豪1, 陈小航21. 浙江大学数学科学学院 杭州 310027;
2. 宾夕法尼亚州立大学数学系 PA 16802 A Congruence Involving the Quotients of Euler and Its Applications (Ⅲ) Tian Xin CAI1, Hao ZHONG1, Shane CHERN21. School of Mathematical Sciences, Zhejiang University, Hangzhou 310027, P. R. China;
2. Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
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摘要在2002，2007的文章中，蔡天新等人介绍了一系列关于二项式系数模平方数的同余式.本文将这些同余式进行改进并推广到了模为立方数的情形，得到了许多新的同余式.如对任意正整数k和正奇数n，当e=2，3，4和6时，Πd|n（└d/e┘kd-1）μ(n/d)模n3的同余式，以及下面这类有趣的同余式
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收稿日期: 2017-08-24
MR (2010):O156.1
基金资助:国家自然科学基金资助项目（11501052，11571303）
作者简介: 蔡天新,E-mail:txcai@zju.edu.cn;钟豪,E-mail:11435011@zju.edu.cn;陈小航,E-mail:shanechern@psu.edu
引用本文:
蔡天新, 钟豪, 陈小航. 欧拉商的同余式及其应用(III)[J]. 数学学报, 2019, 62(4): 529-540. Tian Xin CAI, Hao ZHONG, Shane CHERN. A Congruence Involving the Quotients of Euler and Its Applications (Ⅲ). Acta Mathematica Sinica, Chinese Series, 2019, 62(4): 529-540.
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http://www.actamath.com/Jwk_sxxb_cn/CN/或 http://www.actamath.com/Jwk_sxxb_cn/CN/Y2019/V62/I4/529


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