# On the Poincaré series for diagonal forms over algebraic number fields

Acta Arithmetica (1993)

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

## Access Full Article

top## How to cite

topJun 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

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

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.