Duality between prime factors and an application to the prime number theorem for arithmetic progressions |
| |
| Authors: | Krishnaswami Alladi |
| |
| Institution: | Department of Mathematics, University of California, Los Angeles, California 90024 USA |
| |
| Abstract: | We study in this paper a new duality identity between large and small prime factors of integers and its relationship with the prime number theorem for arithmetic progressions. The asymptotic behavior of large prime factors of integers leads to interesting relations involving the Möbius function. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
