PRIMES AND PRIME IDEALS IN SHORT INTERVALS

被引：3

作者：

Grenie, Loic ^{[1
]}

Molteni, Giuseppe ^{[2
]}

Perelli, Alberto ^{[3
]}

机构：

[1] Univ Bergamo, Dipartimento Ingn Gest Informaz & Prod, Viale Marconi 5, I-24044 Dalmine, BG, Italy

[2] Univ Milan, Dipartimento Matemat, Via Saldini 50, I-20133 Milan, Italy

[3] Univ Genoa, Dipartimento Matemat, Via Dodecaneso 35, I-16146 Genoa, Italy

来源：

MATHEMATIKA | 2017年 / 63卷 / 02期

关键词：

PAIR-CORRELATION; ZETA-FUNCTIONS; NUMBER; ZEROS;

D O I：

10.1112/S0025579316000310

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the analog of Cramer'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.

引用

页码：364 / 371

页数：8

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