We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2 + 1, . . . , n2 + 1. Using a result of Homma [4] on the distribution of roots of quadratic polynomials modulo primes we calculate the error term for the asymptotics obtained by Cilleruel
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for t...
Abstract For any positive integer n, the F.Smarandache LCM function SL(n) is defined as the smallest...
Abstract For any positive integer n, the famous F.Smarandache LCM function SL(n) is defined as the s...
We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2...
Abstract. We obtain, for any irreducible quadratic polynomial f(x) in Z[x], the estimate log l.c.m. ...
Let $k$ be any given positive integer. We define the arithmetic function $g_{k}$ for any positive ...
AbstractWe present here a method which allows to derive a nontrivial lower bounds for the least comm...
For an irreducible polynomial f∈ℤ[x] of degree d≥2, Cilleruelo conjectured that the least common mul...
We collect some results and problems about the quantity Lf(n) := lcm(f(1), f(2),..., f(n)), where ...
Abstract For any positive integer n, let SL(n) denotes the least positive integer k such that L(k) ...
We consider a generalization of the lcm-sum function, and we give two kinds of asymptotic formulas f...
We give estimates for the error term of the Mertens product over primes in arithmetic progressions...
The number L(a, b) = a−b ln a−ln b for a 6 = b and L(a, a) = a, is said to be the logarithmic mean...
ABSTRACT. In this article we prove a general theorem which establishes the existence of limiting dis...
to appear in Proceedings of the AMSGiven a sequence of complex numbers ρ_n, we study the asymptotic ...
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for t...
Abstract For any positive integer n, the F.Smarandache LCM function SL(n) is defined as the smallest...
Abstract For any positive integer n, the famous F.Smarandache LCM function SL(n) is defined as the s...
We study the logarithm of the least common multiple of the sequence of integers given by 12 + 1, 2 2...
Abstract. We obtain, for any irreducible quadratic polynomial f(x) in Z[x], the estimate log l.c.m. ...
Let $k$ be any given positive integer. We define the arithmetic function $g_{k}$ for any positive ...
AbstractWe present here a method which allows to derive a nontrivial lower bounds for the least comm...
For an irreducible polynomial f∈ℤ[x] of degree d≥2, Cilleruelo conjectured that the least common mul...
We collect some results and problems about the quantity Lf(n) := lcm(f(1), f(2),..., f(n)), where ...
Abstract For any positive integer n, let SL(n) denotes the least positive integer k such that L(k) ...
We consider a generalization of the lcm-sum function, and we give two kinds of asymptotic formulas f...
We give estimates for the error term of the Mertens product over primes in arithmetic progressions...
The number L(a, b) = a−b ln a−ln b for a 6 = b and L(a, a) = a, is said to be the logarithmic mean...
ABSTRACT. In this article we prove a general theorem which establishes the existence of limiting dis...
to appear in Proceedings of the AMSGiven a sequence of complex numbers ρ_n, we study the asymptotic ...
Brizolis asked the question: does every prime p have a pair (g,h) such that h is a fixed point for t...
Abstract For any positive integer n, the F.Smarandache LCM function SL(n) is defined as the smallest...
Abstract For any positive integer n, the famous F.Smarandache LCM function SL(n) is defined as the s...