Squares in .
Stability aspects of arithmetic functions
Stability aspects of arithmetic functions, II
Statistiques sur
Still another proof of Parseval's equation for almost-even arithmetical functions.
Subconvexity for the Riemann zeta-function and the divisor problem
Subgroups of finite index in nilpotent groups.
Sum of higher divisor function with prime summands
Let be an integer. Recently, Hu and Lü offered the asymptotic formula for the sum of the higher divisor function where represents the th divisor function. We give the Goldbach-type analogy of their result. That is to say, we investigate the asymptotic behavior of the sum where are prime variables.
Summation operators and "explicit formulas"
Summatory function of the Möbius function. I: Experimental upper bounds. (Fonction sommatoire de la fonction de Möbius. I: Majorations expérimentales.)
Summatory function of the Möbius function. II: Elementary asymptotic upper bounds. (Fonction sommatoire de la fonction de Möbius. II: Majorations asymptotiques élémentaires.)
Sums and differences of additive arithmetic functions in mean square.
Sums and differences of power-free numbers
We employ a generalised version of Heath-Brown's square sieve in order to establish an asymptotic estimate of the number of solutions a, b ∈ ℕ to the equations a + b = n and a - b = n, where a is k-free and b is l-free. This is the first time that this problem has been studied with distinct powers k and l.
Sums involving the largest prime divisor of an integer
Sums of additive functions on arithmetical semigroups
Sums of arithmetic functions over values of binary forms
Sums of multiplicative function in special arithmetic progressions
We find, via the Selberg-Delange method, an asymptotic formula for the mean of arithmetic functions on certain APs. It generalizes a result due to Cui and Wu (2014).
Sums of nonnegative multiplicative functions over integers without large prime factors II
Sums of nonnegative multiplicative functions over integers without large prime factors I
Sums of Periodicals of Certain Additive Functions.