On an error term related to the Jordan totient function \(J_ k(n)\)

DOI10.1016/0022-314X(90)90148-KzbMath0694.10041MaRDI QIDQ908957

Sukumar Das Adhikari, Ayyadurai Sankaranarayanan

Publication date: 1990

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

mean value estimatesasymptotic formulaerror termJordan totient functionaverage orders

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items

On the means of Jordan's totient function, Subgroups of cyclic groups and values of the Riemann zeta function, Completely positive factorizations associated with Euclidean distance matrices corresponding to an arithmetic progression, Oscillations d'un terme d'erreur lié à la fonction totient de Jordan, Ratio sets of random sets, Simultaneous visibility in the integer lattice, The mean-value of a product of shifted multiplicative functions and the average number of points of elliptic curves

Cites Work

• An \(\Omega\)-theorem for an error term related to the sum-of-divisors functions
• On an error term related to the greatest divisor of \(n\), which is prime to \(k\)
• On the Changes of Sign of a Certain Error Function
• Unnamed Item