On the distribution of integral and prime divisors with equal norms

Baruch Z. Moroz

Annales de l'institut Fourier (1984)

  • Volume: 34, Issue: 4, page 1-17
  • ISSN: 0373-0956

Abstract

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In finite Galois extensions k 1 , ... , k r of Q with pairwise coprime discriminants the integral and the prime divisors subject to the condition N k 1 / Q 𝔞 r = ⋯ = N k r / Q 𝔞 r are equidistributed in the sense of E. Hecke.

How to cite

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Moroz, Baruch Z.. "On the distribution of integral and prime divisors with equal norms." Annales de l'institut Fourier 34.4 (1984): 1-17. <http://eudml.org/doc/74655>.

@article{Moroz1984,
abstract = {In finite Galois extensions $k_1,\ldots ,k_r$ of $\{\bf Q\}$ with pairwise coprime discriminants the integral and the prime divisors subject to the condition $N_\{k_1/\{\bf Q\}\} \{\frak a\}_r = \cdots = N_\{k_r/\{\bf Q\}\}\{\frak a\}_r$ are equidistributed in the sense of E. Hecke.},
author = {Moroz, Baruch Z.},
journal = {Annales de l'institut Fourier},
keywords = {estimates of character sums; equidistribution; ideals with equal norms},
language = {eng},
number = {4},
pages = {1-17},
publisher = {Association des Annales de l'Institut Fourier},
title = {On the distribution of integral and prime divisors with equal norms},
url = {http://eudml.org/doc/74655},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Moroz, Baruch Z.
TI - On the distribution of integral and prime divisors with equal norms
JO - Annales de l'institut Fourier
PY - 1984
PB - Association des Annales de l'Institut Fourier
VL - 34
IS - 4
SP - 1
EP - 17
AB - In finite Galois extensions $k_1,\ldots ,k_r$ of ${\bf Q}$ with pairwise coprime discriminants the integral and the prime divisors subject to the condition $N_{k_1/{\bf Q}} {\frak a}_r = \cdots = N_{k_r/{\bf Q}}{\frak a}_r$ are equidistributed in the sense of E. Hecke.
LA - eng
KW - estimates of character sums; equidistribution; ideals with equal norms
UR - http://eudml.org/doc/74655
ER -

References

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