On the Poincaré series for diagonal forms over algebraic number fields

Jun Wang

Acta Arithmetica (1993)

  • Volume: 63, Issue: 2, page 97-101
  • ISSN: 0065-1036

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Jun Wang. "On the Poincaré series for diagonal forms over algebraic number fields." Acta Arithmetica 63.2 (1993): 97-101. <http://eudml.org/doc/206514>.

@article{JunWang1993,
author = {Jun Wang},
journal = {Acta Arithmetica},
keywords = {diagonal forms; algebraic number field; congruence; Poincaré series; explicit formula},
language = {eng},
number = {2},
pages = {97-101},
title = {On the Poincaré series for diagonal forms over algebraic number fields},
url = {http://eudml.org/doc/206514},
volume = {63},
year = {1993},
}

TY - JOUR
AU - Jun Wang
TI - On the Poincaré series for diagonal forms over algebraic number fields
JO - Acta Arithmetica
PY - 1993
VL - 63
IS - 2
SP - 97
EP - 101
LA - eng
KW - diagonal forms; algebraic number field; congruence; Poincaré series; explicit formula
UR - http://eudml.org/doc/206514
ER -

References

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  1. [1] Z. I. Borevich and I. R. Shafarevich, Number Theory, Academic Press, New York 1966. 
  2. [2] J. R. Goldman, Numbers of solutions of congruences: Poincaré series for strongly nondegenerate forms, Proc. Amer. Math. Soc. 87 (1983), 586-590. Zbl0511.12014
  3. [3] J. R. Goldman, Numbers of solutions of congruences: Poincaré series for algebraic curves, Adv. in Math. 62 (1986), 68-83. Zbl0606.12012
  4. [4] E. Hecke, Lectures on the Theory of Algebraic Numbers, Springer, New York 1981. 
  5. [5] J. Igusa, Complex powers and asymptotic expansions, II, J. Reine Angew. Math. 278/279 (1979), 307-321. 
  6. [6] J. Igusa, Some observations on higher degree characters, Amer. J. Math. 99 (1977), 393-417. Zbl0373.12008
  7. [7] E. Stevenson, The rationality of the Poincaré series of a diagonal form, Thesis, Princeton University, 1978. 
  8. [8] J. Wang, On the Poincaré series for diagonal forms, Proc. Amer. Math. Soc., to appear. Zbl0770.11056

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