S. Dimitrov

most citedInequalities involving arithmetic functions

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2026

Lower bounds on expressions depending on the functions {\boldmath $φ (n)$ }, {\boldmath $ψ (n)$ } and {\boldmath $σ (n)$ }, III

S. I. Dimitrov

This work is concerned with the study of lower bounds for various expressions related to the arithmetic functions $φ (n)$ , $ψ (n)$ and $σ (n)$ . Several explicit estimates are establis…

math.NT2024

Barban-Davenport-Halberstam type theorems for exponential sums and Piatetski-Shapiro primes

S. I. Dimitrov

In this paper we establish three Barban-Davenport-Halberstam type theorems. Namely for exponential sums over primes, for Piatetski-Shapiro primes and for exponential sums over Piat…

math.NT2024★ 2 cited

Inequalities involving arithmetic functions

S. I. Dimitrov

This paper presents a brief survey of the most important and the most remarkable inequalities involving the basic arithmetic functions.

Lower bounds on expressions depending on the functions {\boldmathφ(n)}, {\boldmathψ(n)} and {\boldmathσ(n)}, III

Barban-Davenport-Halberstam type theorems for exponential sums and Piatetski-Shapiro primes

Inequalities involving arithmetic functions

Lower bounds on expressions depending on the functions {\boldmath $φ (n)$ }, {\boldmath $ψ (n)$ } and {\boldmath $σ (n)$ }, III