scientific article

zbMath0579.10019MaRDI QIDQ3701501

János Pintz, Alberto Perelli, Saverio Salerno

Publication date: 1984

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1984_4_11_4_529_0

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zbMATH Keywords

short intervalsBombieri's mean value theoremHeath-Brown's identity

Mathematics Subject Classification ID

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

Related Items (13)

Bombieri's theorem in short intervals ⋮ A (5,5)-Colouring of K_n with Few Colours ⋮ Goldbach's problem with primes in arithmetic progressions and in short intervals ⋮ REPRESENTING AN INTEGER AS THE SUM OF A PRIME AND THE PRODUCT OF TWO SMALL FACTORS ⋮ Limitations to equidistribution in arithmetic progressions ⋮ A variant of the Bombieri–Vinogradov theorem in short intervals and some questions of Serre ⋮ Cyclicity and exponents of CM elliptic curves modulo $p$ in short intervals ⋮ Bombieri-type theorems for exponential sums over primes in short intervals and its application ⋮ Bombieri-type theorems of nonlinear Weyl sums over primes in short intervals ⋮ Bounded gaps between primes in short intervals ⋮ Distribution of \({\mathcal B}\)-free numbers in short intervals ⋮ Bombieri's theorem in short intervals. II ⋮ On the largest prime factors of consecutive integers in short intervals

Cites Work

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• Topics in multiplicative number theory
• An elementary method in prime number theory
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• Mean Value Theorems in Prime Number Theory
• Bombieri's theorem in short intervals
• Mean-Value Theorems for Primes in Short Intervals
• Bombieri's mean value theorem
• A statistical density theorem for L-functions with applications
• On a mean value theorem for the remainder term in the prime number theorem for short arithmetic progressions

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