|
|
- 2017
一个求和公式中的几个常数
|
Abstract:
摘要： 对于三整数平方和的除数个数的均值问题,给出了该均值估计的渐近公式中的两个奇异级数 和一个 奇异积分的值,并给出了另一个奇异积分的分析表达式。
Abstract: Some constants are given in an asymptotic formula. The constants are about the mean value estimates of the divisor function of a quadratic form. We have evaluated two singular series and one singular integral. We also have given the analytic formula of the other singular integral
| [1] | CALDERóN C, DE VELASCO M J. On divisors of a quadratic form[J]. Bol Soc Bras Mat, 2000, 31(1): 81-91. |
| [2] | GUO Ruting, ZHAI Wenguang. Some problems about the ternary quadratic form <i>m<sup></sup></i>2<i><sub></sub></i>1<i>+m<sup></sup></i>2<i><sub></sub></i>2<i>+m<sup></sup></i>2<i><sub></sub></i>3<i></i>[J]. Acta Arithmetica, 2012,156(2): 101-121. |
| [3] | HU L Q. An asymptotic formula related to the divisors of the quaternary quadratic form[J]. Acta Arithmetica, 2014, 166(2):129-140. |
| [4] | 华罗庚. 数论导引[M]. 北京:科学出版社, 1957. HUA Luogeng. Introduction to number theory[M]. Beijing: Science Press, 1957. |
| [5] | ZHAO L L. The sum of divisors of a quadratic form[J]. Acta Arithmetica, 2014, 163(2):161-177. |
