Structures related to Pascal's triangle modulo $2$ and their elementary theories
Mathematica slovaca, Tome 44 (1994) no. 5, pp. 531-554
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11B65, 11U05
@article{MASLO_1994_44_5_a5,
     author = {Korec, Ivan},
     title = {Structures related to {Pascal's} triangle modulo $2$ and their elementary theories},
     journal = {Mathematica slovaca},
     pages = {531--554},
     year = {1994},
     volume = {44},
     number = {5},
     mrnumber = {1338427},
     zbl = {0824.11008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1994_44_5_a5/}
}
TY  - JOUR
AU  - Korec, Ivan
TI  - Structures related to Pascal's triangle modulo $2$ and their elementary theories
JO  - Mathematica slovaca
PY  - 1994
SP  - 531
EP  - 554
VL  - 44
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_1994_44_5_a5/
LA  - en
ID  - MASLO_1994_44_5_a5
ER  - 
%0 Journal Article
%A Korec, Ivan
%T Structures related to Pascal's triangle modulo $2$ and their elementary theories
%J Mathematica slovaca
%D 1994
%P 531-554
%V 44
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_1994_44_5_a5/
%G en
%F MASLO_1994_44_5_a5
Korec, Ivan. Structures related to Pascal's triangle modulo $2$ and their elementary theories. Mathematica slovaca, Tome 44 (1994) no. 5, pp. 531-554. http://geodesic.mathdoc.fr/item/MASLO_1994_44_5_a5/

[Bo] BONDARENKO B. A.: Generalized Pascal Triangles and Pyramids, Their Fractals. Graphs and Applications (Russian), Fan, Tashkent, 1990. | MR | Zbl

[K1] KOREC I.: Generalized Pascal triangles. Decidability results. Acta Math. Univ. Comenian. 46-47 (1985), 93-130. | MR | Zbl

[K2] KOREC I.: Generalized Pascal triangles. In: Proceedings of the V. Universal Algebra Symposium, Turawa, Poland, May 1988 (K. Halkowska and S. Stawski, eds.), World Scientific, Singapore, 1989, pp. 198-218. | MR

[K3] KOREC I.: Definability of arithmetic operations in Pascal triangle modulo an integer divisible by two primes. Grazer Math. Ber. 318 (1993), 53-61. | MR | Zbl

[Le] LE M.: On the number of solutions of the generalized Ramanjuan-Nagell equation $x^2 - D = 2^{n+2}$. Acta Arith. 60 (1991), 149-167. | MR

[Mo] MONK J. D.: Mathematical Logic. Springer Verlag, New York, 1976. | MR | Zbl

[Ri] RICHARD D.: Answer to a problem raised by J. Robinson: the arithmetic of positive or negative integers is definable from successor and divisibility. J. Symbolic Logic 50 (1985), 927-935. | MR | Zbl

[Ro] ROBINSON J.: Definability and decision problems in arithmetic. J. Symbolic Logic 14 (1949), 98-114. | MR | Zbl

[Se] SEMENOV A. L.: On definability of arithmetic in their fragments. (Russian), Dokl. Akad. Nauk SSSR 263 (1982), 44-47. | MR

[Sh] SHOENFIELD J. R.: Mathematical Logic. Addison -Wesley, Reading, 1967. | MR | Zbl

[Si] SINGMASTER D.: Notes on binomial coefficients III - Any integer divides almost all binomial coefficients. J. London Math. Soc. (2) 8 (1974), 555-560. | MR | Zbl

[Wo] WOODS A.: Some Problems in Logic and Number Theory, and Their Connection. Ph.D. Thesis, University of Manchester, Manchester, 1981.

[Ye] YERSHOW, JU. L.: Decidability Problems and Constructive Models. (Russian), Nauka, Moscow, 1980.