On the Poincaré series for diagonal forms over algebraic number fields

• Autorzy: Jun Wang
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1993
• Tom: 63
• Numer: 2
• Strony: 97-101

Daty

wydano

1993

otrzymano

1991-07-04

Twórcy

autor

Jun Wang

• Institute of Mathematical Sciences, Dalian University of Technology, Dalian 116024, People's Republic of China

Bibliografia

• [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.
• [3] J. R. Goldman, Numbers of solutions of congruences: Poincaré series for algebraic curves, Adv. in Math. 62 (1986), 68-83.
• [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.
• [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.