Add to ORKGA numerical study on the distributions of primes in short intervals of length $h$ over the natural numbers $N$ is presented. Based on Cram\'er's model in Number Theory, we obtain a heuristic expression applicable when $h \gg \log{N}$ but $h \ll N$, providing support to the Montgomery and Soundararajan conjecture on the variance of the prime distribution at this scale
In this paper we will study the distribution of Hardy-Littlewood numbers in short intervals both ...
We prove the analog of Cramer's short intervals theorem for primes in arithmetic progressions and pr...
Knowledge about number theory and prime numbersEuclid proved that the number of prime numbers is inf...
Senior Project submitted to The Division of Science, Mathematics and Computing of Bard College
This work is divided into two parts. In the first one, the combinatorics of a new class of randomly ...
We present the main results, conjectures and ideas concerning the distribution of primes. We recount...
In this thesis, we focus on the problem of primes in short intervals. We will explore the main ingre...
In this paper we study the mean square distribution of primes in short segments of arithmetic progre...
Abstract. A “theoretical ” distribution of prime number gaps is proposed and compared with the actua...
The irregular distribution of prime numbers amongst the integers has found multiple uses, from engin...
In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, conce...
In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, conce...
The empirical formula giving the nth prime number p(n) is p(n) = n.ln(n) (from ROSSER (2)). Other st...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
The irregular distribution of prime numbers amongst the integers has found multiple uses, from engin...
In this paper we will study the distribution of Hardy-Littlewood numbers in short intervals both ...
We prove the analog of Cramer's short intervals theorem for primes in arithmetic progressions and pr...
Knowledge about number theory and prime numbersEuclid proved that the number of prime numbers is inf...
Senior Project submitted to The Division of Science, Mathematics and Computing of Bard College
This work is divided into two parts. In the first one, the combinatorics of a new class of randomly ...
We present the main results, conjectures and ideas concerning the distribution of primes. We recount...
In this thesis, we focus on the problem of primes in short intervals. We will explore the main ingre...
In this paper we study the mean square distribution of primes in short segments of arithmetic progre...
Abstract. A “theoretical ” distribution of prime number gaps is proposed and compared with the actua...
The irregular distribution of prime numbers amongst the integers has found multiple uses, from engin...
In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, conce...
In this paper we extend the well-known investigations of Montgomery and Goldston & Montgomery, conce...
The empirical formula giving the nth prime number p(n) is p(n) = n.ln(n) (from ROSSER (2)). Other st...
We prove a short intervals version of the well known Montgomery-Hooley asymptotic formula for the me...
The irregular distribution of prime numbers amongst the integers has found multiple uses, from engin...
In this paper we will study the distribution of Hardy-Littlewood numbers in short intervals both ...
We prove the analog of Cramer's short intervals theorem for primes in arithmetic progressions and pr...
Knowledge about number theory and prime numbersEuclid proved that the number of prime numbers is inf...