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Ten problems on quadratic forms
Communications in Mathematics, Tome 10 (2002) no. 1, pp. 133-143

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Classification : 11E04, 11E12, 11E81 
Szymiczek, Kazimierz. Ten problems on quadratic forms. Communications in Mathematics, Tome 10 (2002) no. 1, pp. 133-143. http://geodesic.mathdoc.fr/item/COMIM_2002_10_1_a14/
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[1] P. E. Conner R. Perlis, and K. Szymiczek: Wild sets and 2-ranks of class groups. Acta Arith. 79 (1997), 83-91. | MR

[2] A. Czogala: On reciprocity equivalence of quadratic number fields. Acta Arith. 58 (1991), 27-46. | MR | Zbl

[3] A. Czogala: Witt rings of Hasse domains of global fields. J. Algebra 244 (2001), 604-630. | DOI | MR | Zbl

[4] E. Hecke: Vorlesungen über die Theorie der algebraischen Zahlen. Akademische Verlagsgesellschaft, Leipzig 1923.

[5] S. Jakubec F. Marko, and K. Szymiczek: Parity of class numbers and Witt equivalence of quartic fields. Math. Comput. 64 (1995), 1711-1715. Corrigendum, ibid. 66 (1997), 927. | DOI | MR

[6] K. Koziol: On a decomposition of the Witt group into direct sum of cyclic groups. Ann. Math. Siles. 6 (1992), 7-8. | MR | Zbl

[7] R. Kučera, K. Szymiczek: Witt equivalence of cyclotomic fields. Math. Siovaca 42 (1992), 663-676. | MR

[8] T. Y. Lam: The algebraic theory of quadratic forms. Second printing. Benjamin, Reading, Mass. 1980. | MR | Zbl

[9] J. Milnor D. Husemoller: Symmetric Bilinear Forms. Springer Verlag, Berlin - Heidelberg - New York 1973. | MR

[10] S. Nakano: On ideal class groups of algebraic number fields. J. Reine Angew. Math. 358 (1985), 61-75. | MR | Zbl

[11] W. Narkiewicz: Elementary and Analytic Theory of Algebraic Numbers. Second ed. PWN and Springer-Verlag, Warszawa and Berlin Heidelberg New York 1990. | MR | Zbl

[12] R. Parimala: Witt groups of conies, elliptic, and hyperelliptic curves. J. Number Theory 28 (1988), 69-93. | DOI | MR

[13] R. Perlis K. Szymiczek P. E. Conner, and R. Litherland: Matching Witts with global fields. Contemp. Math. 155 (1994), 365-387. | DOI | MR

[14] A. Pfister: Quadratic lattices in function fields of genus 0. Proc. London Math. Soc. (3) 66 (1993), 257-278. | MR | Zbl

[15] W. Scharlau: Quadratic and Hermitian Forms. Springer Verlag, Berlin-Heidelberg-New York - Tokyo, 1985. | MR | Zbl

[16] K. Szymiczek: Quadratic forms over fields. Dissert. Math. 52 (1977), 1-63. | MR | Zbl

[17] K. Szymiczek: Witt equivalence of global fields. Commun. Algebra 19 (4) (1991), 1125-1149. | DOI | MR | Zbl

[18] K. Szymiczek: 2-ranks of class groups of Witt equivalent number fields. Ann. Math. Siles. 12 (1998), 53-64. | MR | Zbl

[19] K. Szymiczek: p-ranks of class groups of Witt equivalent number fields. J. Number Theory 78 (1999), 99-106. | DOI | MR | Zbl

[20] K. Szymiczek: Conner's level condition. In: Algebraic Number Theory and Diophantine Analysis, Eds. Franz Halter-Koch, Robert F. Tichy. Walter de Gruyter, Berlin - New York 2000, 445-452. | MR | Zbl