The product of N linear forms in a field of series and the Riemann hypothesis for curves

J. V. Armitage

Mémoires de la Société Mathématique de France (1971)

  • Volume: 25, page 17-27
  • ISSN: 0249-633X

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Armitage, J. V.. "The product of $N$ linear forms in a field of series and the Riemann hypothesis for curves." Mémoires de la Société Mathématique de France 25 (1971): 17-27. <http://eudml.org/doc/94579>.

@article{Armitage1971,
author = {Armitage, J. V.},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {17-27},
publisher = {Société mathématique de France},
title = {The product of $N$ linear forms in a field of series and the Riemann hypothesis for curves},
url = {http://eudml.org/doc/94579},
volume = {25},
year = {1971},
}

TY - JOUR
AU - Armitage, J. V.
TI - The product of $N$ linear forms in a field of series and the Riemann hypothesis for curves
JO - Mémoires de la Société Mathématique de France
PY - 1971
PB - Société mathématique de France
VL - 25
SP - 17
EP - 27
LA - eng
UR - http://eudml.org/doc/94579
ER -

References

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  1. [1] J.V. ARMITAGE. On a method of Mordell in the geometry of numbers, Mathematika 2 (1955), 132-140. Zbl0066.03602MR17,1060a
  2. [2] J.V. ARMITAGE. The product of n linear forms in a field of series, Mathematika 4 (1957), 132-137. Zbl0079.27303MR20 #38
  3. [3] J.V. ARMITAGE. Algebraic functions and an analogue of the geometry of numbers : the Riemann-Roch Theorem, Archiv der Mathematik 18 (1967), 383-393. Zbl0156.41102MR37 #192
  4. [4] C. CHEVALLEY. L'hypothèse de Riemann pour les corps de fonctions algébriques de caractéristique p, Séminaire Bourbaki 1 (1948/1949), n° 3 and n° 9. Zbl0116.03001
  5. [5] H. HASSE. Zur Theorie der abstrakten elliptischen Funktionenkörper, J. reine u. angew. Math. 175 (1936), 69-88 and 193-208. Zbl0014.24901
  6. [6] K. MAHLER. An analogue to Minkowski's geometry of numbers in a field of series, Ann. Math., II Ser. 42 (1941), 481-522. Zbl0027.16001MR2,350cJFM67.0140.01
  7. [7] A. WEIL. Sur les courbes algébriques et les variétés qui s'en déduisent, Actualités scientifiques et industrielles, n° 1041, Paris, (1948). Zbl0036.16001MR10,262c
  8. [8] A. WEIL. Numbers of solutions of equations in finite fields, Bull. Amer. Math. Soc. 55 (1949), 497-508. Zbl0032.39402MR10,592e

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