Zobrazeno 1 - 10
of 108
pro vyhledávání: '"Vichian Laohakosol"'
Autor:
Vichian Laohakosol, Nittiya Pabhapote
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2005, Iss 24, Pp 3997-4017 (2005)
Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied. Fir
Externí odkaz:
https://doaj.org/article/ef56e607d6124db99b9d9a3a5315caef
Autor:
Vichian Laohakosol, Nittiya Pabhapote
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2004, Iss 9, Pp 431-441 (2004)
Given two multiplicative arithmetic functions, various conditions for their convolution, powers, and logarithms to be completely multiplicative, based on values at the primes, are derived together with their applications.
Externí odkaz:
https://doaj.org/article/1f38b9bc533442199e6cb1e84c7b0098
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 29, Iss 11, Pp 633-639 (2002)
Using the generalized Möbius functions, μα, first introduced by Hsu (1995), two characterizations of completely multiplicative functions are given; save a minor condition they read (μαf)−1=μ−αf and fα=μ−αf.
Externí odkaz:
https://doaj.org/article/c139b55ba9dc4d579f5591fa000d0efb
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
Externí odkaz:
https://doaj.org/article/966c7e1edb0a4935874d9bdf0fafead9
Publikováno v:
Journal of Function Spaces and Applications, Vol 2013 (2013)
Externí odkaz:
https://doaj.org/article/0d1299d4d6f047f584330758b7b827cd
Autor:
Nittiya Pabhapote, Vichian Laohakosol
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2010 (2010)
A generalized Euler's totient is defined as a Dirichlet convolution of a power function and a product of the Souriau-Hsu-Möbius function with a completely multiplicative function. Two combinatorial aspects of the generalized Euler's totient, namely,
Externí odkaz:
https://doaj.org/article/9df8a579cb764e96a873ed270894a507
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2009 (2009)
Two kinds of series representations, referred to as the Engel series and the Cohen-Egyptian fraction expansions, of elements in two different fields, namely, the real number and the discrete-valued non-archimedean fields are constructed. Both represe
Externí odkaz:
https://doaj.org/article/ff733100f84046f3be6d8c6c1d2e41dd
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
A generalized Ramanujan sum (GRS) is defined by replacing the usual Möbius function in the classical Ramanujan sum with the Souriau-Hsu-Möbius function. After collecting basic properties of a GRS, mostly containing existing ones, seven aspects of a
Externí odkaz:
https://doaj.org/article/b15d868e37c8460a83e04044ce6e17bd
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 2006 (2006)
Using a method modified from that used by Pisot and Schoenberg in 1964-1965, a Cauchy's functional equation with restricted domains in the complex field is solved for uniformly continuous solutions.
Externí odkaz:
https://doaj.org/article/a74b79d9a02c404ea2444cbb601a8af0
Publikováno v:
Turkish Journal of Mathematics. 47:1073-1086
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8c0ee4d815780fd11645dc0dedefe7f
https://doi.org/10.55730/1300-0098.3413
https://doi.org/10.55730/1300-0098.3413