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.
(2017). Primes and prime ideals in short intervals [journal article - articolo]. In MATHEMATIKA. Retrieved from http://hdl.handle.net/10446/85911
Primes and prime ideals in short intervals
Grenié, Loic Andre Henri;
2017-01-01
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.File allegato/i alla scheda:
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PrimeIdealsShortIntervals.pdf
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85911 Grenie.pdf
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Descrizione: "This is the peer reviewed version of the following article: Primes and prime ideals in short intervals, which has been published in final form at http://dx.doi.org/10.1112/S0025579316000310
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