Prime values of reducible polynomials, I
Prime values of reducible polynomials, II
Primes and power-primes
Primes and zeros in short intervals.
Primes in almost all short intervals
Primes in almost all short intervals. II
In questo lavoro vengono migliorati i risultati ottenuti in «Primes in Almost All Short Intervals» riguardo la distribuzione dei primi in quasi tutti gli intervalli corti della forma , con funzione reale appartenente ad una ampia classe di funzioni. Il problema viene trattato mettendo in relazione l'insieme eccezionale per la distribuzione dei primi in intervalli nella forma con l'insieme eccezionale per la formula asintotica I risultati presentati vengono quindi ottenuti grazie allo studio...
Primes in Arithmetic Progressions.
Primes in arithmetic progressions
Primes in Arithmetic Progressions to Large Moduli. II.
Primes in arithmetic progressions to spaced moduli
Primes in intervals
Primes in Progressions to Prime-Power Modulus.
Primes in Shart Intervals.
Primes in short arithmetic progressions
Primes in Short Intervals.
Primes in tuples IV: Density of small gaps between consecutive primes
We prove that given any small but fixed η > 0, a positive proportion of all gaps between consecutive primes are smaller than η times the average gap. We show some unconditional and conditional quantitative results in this vein. In the results the dependence on η is given explicitly, providing a new quantitative way, in addition to that of the first paper in this series, of measuring the effect of the knowledge on the level of distribution of primes.
Primes of the form [cP].
Primes represented by quadratic polynomials in two variables
Primes with preassigned digits
Primes with preassigned digits