Primes in short arithmetic progressions

DOI10.1142/S1793042115400035zbMath1346.11048arXiv1405.6592MaRDI QIDQ2942523

Dimitris Koukoulopoulos

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1405.6592

zbMATH Keywords

primes in progressionsprimes in short intervalsBombieri-Vinogradov theoremzero-density estimates

Mathematics Subject Classification ID

Primes in congruence classes (11N13) Distribution of primes (11N05)

Related Items

Frobenius distributions of elliptic curves in short intervals on average ⋮ Sums of Euler products and statistics of elliptic curves ⋮ An average asymptotic for the number of extremal primes of elliptic curves ⋮ Limitations to equidistribution in arithmetic progressions ⋮ An asymptotic for the average number of amicable pairs for elliptic curves ⋮ POLYNOMIAL PATTERNS IN THE PRIMES ⋮ Primes in prime number races ⋮ Correlations of almost primes

Cites Work

• Bombieri's theorem in short intervals. II
• Limitations to the equi-distribution of primes. I
• On Group Structures Realized by Elliptic Curves over Arbitrary Finite Fields
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• Bombieri's theorem in short intervals
• Primes in short intervals
• The difference between consecutive primes in an arithmetic progression
• On a mean value theorem for the remainder term in the prime number theorem for short arithmetic progressions
• On the difference between consecutive primes