Data di Pubblicazione:
2017
Citazione:
Primes and prime ideals in short intervals / L. Grenié, G. Molteni, A. Perelli. - In: MATHEMATIKA. - ISSN 0025-5793. - 63:2(2017 Jan), pp. 364-371. [10.1112/S0025579316000310]
Abstract:
We prove the analog of Cramér's short intervals theorem for primes in arithmetic progressions and prime ideals, under the relevant Riemann hypothesis. Both results are uniform in the data of the underlying structure. Our approach is based mainly on the inertia property of the counting functions of primes and prime ideals.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
pair-correlation; zeta-functions; number; zeros
Elenco autori:
L. Grenié, G. Molteni, A. Perelli
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