Continuous functions on compact subsets of local fields

• Autorzy: Manjul Bhargava , Kiran S. Kedlaya
• Języki publikacji: EN

Kategorie tematyczne

• 11S80: Other analytic theory (analogues of beta and gamma functions, p -adic integration, etc.)
• 11S05: Polynomials

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1999
• Tom: 91
• Numer: 3
• Strony: 191-198

Daty

wydano

1999

otrzymano

1997-08-15

poprawiono

1999-01-04

Twórcy

autor

Manjul Bhargava

• Department of Mathematics, Princeton University, Princeton, NJ 08544, U.S.A.

autor

Kiran S. Kedlaya

• Department of Mathematics, Princeton University, Princeton, NJ 08544, U.S.A.

Bibliografia

• [1] Y. Amice, Interpolation p-adique, Bull. Soc. Math. France 92 (1964), 117-180.
• [2] M. Bhargava, P-orderings and polynomial functions on arbitrary subsets of Dedekind rings, J. Reine Angew. Math. 490 (1997), 101-127.
• [3] J. Dieudonné, Sur les fonctions continues p-adiques, Bull. Sci. Math. 68 (1944), 79-95.
• [4] K. Mahler, An interpolation series for a continuous function of a p-adic variable, J. Reine Angew. Math. 199 (1958), 23-34.
• [5] G. Pólya, Über ganzwertige ganze Funktionen, Rend. Circ. Mat. Palermo 40 (1915), 1-16.
• [6] C. Wagner, Interpolation series for continuous functions on π-adic completions of GF(q,x), Acta Arith. 17 (1971), 389-406.