An estimator for the regulator of an algebraic field

I. Sh. Slavutsky

Mathematica Slovaca (1991)

  • Volume: 41, Issue: 3, page 311-314
  • ISSN: 0232-0525

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Slavutsky, I. Sh.. "К оценке регулятора алгебраического поля." Mathematica Slovaca 41.3 (1991): 311-314. <http://eudml.org/doc/34322>.

@article{Slavutsky1991,
author = {Slavutsky, I. Sh.},
journal = {Mathematica Slovaca},
keywords = {regulator; number of roots of unity},
language = {rus},
number = {3},
pages = {311-314},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {К оценке регулятора алгебраического поля},
url = {http://eudml.org/doc/34322},
volume = {41},
year = {1991},
}

TY - JOUR
AU - Slavutsky, I. Sh.
TI - К оценке регулятора алгебраического поля
JO - Mathematica Slovaca
PY - 1991
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 41
IS - 3
SP - 311
EP - 314
LA - rus
KW - regulator; number of roots of unity
UR - http://eudml.org/doc/34322
ER -

References

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  1. EVERTSE J. H., Upper Bounds for the Numbers of Solutions of Diophantine Equations, Math. Centre Tracts, Amsterdam, 1983. (1983) Zbl0517.10016MR0726562
  2. СЛАВУТСКИЙ И. Ш., Среднее значение L-функций и число классов кругового поля, Аналитическая теория чисел и теория функций. 7. Зап. научн. семин. ЛОМИ т. 154 (1986), 136-143. (1986) Zbl1238.01043MR0868748
  3. QUÉME R., Majorations du nombre de classes, C. R. Acad. Sci. Paris 307 (1988), No. 6, 199-202. (1988) Zbl0648.12005MR0956805
  4. СЛАВУТСКИЙ И. Ш., L-функции и число классов круговых полей, Успехи Мат. Наук т. 43 (1988), вып. 5, 215-216. (1988) Zbl1238.01071
  5. ZIMMERT R., Ideale kleiner Norm in Idealklassen und Regulatoraschätzung, Invent. Math. 62 (1981), 367-390. (1981) MR0604833
  6. TATUZAWA T., On the product of L(1|x), Nagoya Math. J. 5 (1953), 105-111. (1953) Zbl0053.21903MR0058634
  7. LEPISTO T., Two remaгks conceгning Dirichleťs L-functions and the class numbeг of the cyclotomic field, Ann. Acad. Sci. Fennicae, Seг. IA (1968), No. 433. (1968) 
  8. ЛAJЗPИK A. Ф., EДГOPOB, 17., O пpoизвeдeнии чиcлa клaccoв дивизopoв нa peгyлятop пoлeй aлгeбpaичecкиx чиceл, Извecтия AH УзCCP (1975), № 2, 77-79. (1975) 

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