Some properties of specially multiplicative functions

Some Characterizations of Specially Multiplicative Functions

A multiplicative function f is said to be specially multiplicative if there is a completelymultiplicative function fA such that f(m)f(n)= ∑ d|(m,n) f (mn/d)fA(d) for allm andn. For example, the divisor functions and Ramanujan’s τ-function are specially multiplicative functions. Some characterizations of specially multiplicative functions are given in the literature. In this paper, we provide so...

some properties of fuzzy hilbert spaces and norm of operators

in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...

determination of some physical and mechanical properties red bean

چکیده: در این تحقیق، برخی خواص فیزیکی و مکانیکی لوبیا قرمز به-صورت تابعی از محتوی رطوبت بررسی شد. نتایج نشان داد که رطوبت بر خواص فیزیکی لوبیا قرمز شامل طول، عرض، ضخامت، قطر متوسط هندسی، قطر متوسط حسابی، سطح تصویر شده، حجم، چگالی توده، تخلخل، وزن هزار دانه و زاویه ی استقرار استاتیکی در سطح احتمال 1 درصد اثر معنی داری دارد. به طوری که با افزایش رطوبت از 54/7 به 12 درصد بر پایه خشک طول، عرض، ضخام...

Some Remarks about Additive and Multiplicative Functions

The present paper contains some results about the classical multiplicative functions (n), a(n) and also about general additive and multiplicative functions. (1) It is well known that n/{n) ^x.) It is known that both fi(x) and fï(x) are strictly inc...

Some Asymptotic Formulas for Multiplicative Functions