Standard Forms and Derivatives of Arithmetic Functions

ผู้แต่ง

  • Vichian Laohakosol Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.
  • Kannika Kongsakorn Department of Mathematics, Faculty of Science, Kasetsart University, Bangkok 10900, Thailand.

คำสำคัญ:

arithmetic function, Dirichlet multiplication, divisors, standard form, derivative

บทคัดย่อ

The set of arithmetic functions with respect to addition and Dirichlet multiplication is a unique factorization domain but not an Euclidean domain. To find divisors in this domain is not easy. The concepts of functions in standard form and derivative-like operator due to Rearick are neither clear nor appropriate. A modification of these concepts are carried out.

เผยแพร่แล้ว

1992-09-30

รูปแบบการอ้างอิง

Vichian Laohakosol, และ Kannika Kongsakorn. 1992. “Standard Forms and Derivatives of Arithmetic Functions”. Agriculture and Natural Resources 26 (3). Bangkok, Thailand:307-9. https://li01.tci-thaijo.org/index.php/anres/article/view/241789.

ฉบับ

ประเภทบทความ

Research Article