On the usual product of rational arithmetic functions

Properties of rational arithmetic functions

Rational arithmetic functions are arithmetic functions of the form g1 ∗···∗ gr ∗ h−1 1 ∗ ···∗h−1 s , where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied. First, some characterizations of such functions are established; second, possible Busche-Ramanujan-type identities are investigated; third, binomial-type ide...

A Note on Rational Arithmetic Functions

On characterizations of the fully rational fuzzy choice functions

In the present paper, we introduce the fuzzy Nehring axiom, fuzzy Sen axiom and weaker form of the weak fuzzycongruence axiom. We establish interrelations between these axioms and their relation with fuzzy Chernoff axiom. Weexpress full rationality of a fuzzy choice function using these axioms along with the fuzzy Chernoff axiom.

Rational Functions, Diagonals, Automata and Arithmetic

1.1 By R we denote an integral domain; then R[[x]] is the ring of formal power series over R in the variables x = (x1, . . . , xn). We write a series f(x) ∈ R[[x]] as f(x) = ∑ ai1···inx i1 1 · · ·xin n = ∑ aνx ν where ν = (ν1, . . . , νn) is a multi-index and x = x1 1 · · ·xνn n . In the sequel R is usually the finite field Fp of p elements or the ring of p-adic integers Zp. One says that f(x) ...

study of hash functions based on chaotic maps

توابع درهم نقش بسیار مهم در سیستم های رمزنگاری و پروتکل های امنیتی دارند. در سیستم های رمزنگاری برای دستیابی به احراز درستی و اصالت داده دو روش مورد استفاده قرار می گیرند که عبارتند از توابع رمزنگاری کلیددار و توابع درهم ساز. توابع درهم ساز، توابعی هستند که هر متن با طول دلخواه را به دنباله ای با طول ثابت تبدیل می کنند. از جمله پرکاربردترین و معروف ترین توابع درهم می توان توابع درهم ساز md4, md...