Exploring Certain Generalization of Arithmetical Functions

Authors

  • Nand Kishor Kumar Trichandra Campus, TU
  • Dipendra Prasad Yadav Thakur Ram Multiple Campus
  • Chudamani Pokhrel Dhawalagiri Multiple Campus

DOI:

https://doi.org/10.3126/ppj.v3i2.66162

Keywords:

Arithmetical function, prime number, Additive lattice, Maximum and minimum exponents

Abstract

This article introduces a few generalized arithmetical functions and focuses on a few specific instances of these arithmetic functions. This study of certain generalizations of arithmetical functions supplements our understanding of number theory and its applications. By spreading the domain, range, or definition of traditional arithmetical functions, mathematicians unexposed new insights into the structure of integers and their relationships with other mathematical objects. Moreover, the applications of these generalizations span across various fields of mathematics, highlighting their significance and relevance in modern mathematical research. Continued exploration of these generalizations promises further discoveries and advancements in the field of number theory and beyond.

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Author Biography

Nand Kishor Kumar, Trichandra Campus, TU

Lecturer

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Published

2023-12-31

How to Cite

Kumar, N. K., Yadav, D. P., & Pokhrel, C. (2023). Exploring Certain Generalization of Arithmetical Functions. Patan Prospective Journal, 3(2), 82–87. https://doi.org/10.3126/ppj.v3i2.66162

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Section

Articles