S. Dimitrov

collaborators

2 papers

math.NT2026

Lower bounds on expressions depending on the functions {\boldmath $I ¨ (n)$ }, {\boldmath $I ¨ (n)$ } and {\boldmath $I ¨ (n)$ }, III

S. I. Dimitrov

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

math.NT2024

The Bombieri-Vinogradov theorem for primes of the form $p = x^{2} + y^{2} + 1$

S. I. Dimitrov

In this paper, we establish a Bombieri-Vinogradov type result for prime numbers of the form $p = x^{2} + y^{2} + 1$ . The proof is based on the enveloping sieve.

Lower bounds on expressions depending on the functions {\boldmathI¨(n)}, {\boldmathI¨(n)} and {\boldmathI¨(n)}, III

The Bombieri-Vinogradov theorem for primes of the form p=x2+y2+1

Lower bounds on expressions depending on the functions {\boldmath $I ¨ (n)$ }, {\boldmath $I ¨ (n)$ } and {\boldmath $I ¨ (n)$ }, III

The Bombieri-Vinogradov theorem for primes of the form $p = x^{2} + y^{2} + 1$