On the average growth of random Fibonacci sequences.
On the average length of finite continued fractions
On the Average Number of Direct Factors of a Finite Abelian Group.
On the average number of direct factors of a finite abelian group
On the average number of direct factors of a finite Abelian group
On the average number of direct factors of a finite abelian group (“sur les variété abéliennes”)
On the average number of direct factors of finite abelian groups
On the average number of direct factors of finite abelian groups (II)
On the average number of unitary factors of finite abelian groups
On the average number of unitary factors of finite abelian groups
On the average of character sums for a group of characters
On the average of inversion of Dirichlet’s -functions
On the average of the sum-of-a-divisors function
We prove an Ω result on the average of the sum of the divisors of n which are relatively coprime to any given integer a. This generalizes the earlier result for a prime proved by Adhikari, Coppola and Mukhopadhyay.
On the average of the sum-of-p-prime-divisors function
On the Average Order of an Arithmetical Function
On the average order of the lattice rest of a convex body
On the average orders of a class of divisor functions.
On the average value of the canonical height in higher dimensional families of elliptic curves
Given an elliptic curve E over a function field K = ℚ(T₁,...,Tₙ), we study the behavior of the canonical height of the specialized elliptic curve with respect to the height of ω ∈ ℚⁿ. We prove that there exists a uniform nonzero lower bound for the average of the quotient over all nontorsion P ∈ E(K).
On the -ary expansion of an algebraic number
On the almost periodic behaviour of certain arithmetical convolutions