Artigo Acesso aberto Revisado por pares

Binary quadratic forms and sums of triangular numbers

2010; Polish Academy of Sciences; Volume: 146; Issue: 3 Linguagem: Inglês

10.4064/aa146-3-5

ISSN

1730-6264

Autores

Zhi-Hong Sun,

Tópico(s)

Analytic Number Theory Research

Resumo

Notation: Z the set of integers, N the set of positive integers, [x] the greatest integer not exceeding x, ( a m) the Legendre-JacobiKronecker symbol, ordpm the nonnegative integer α such that pα | m but pα+1 m, (a, b) the greatest common divisor of a and b, (a, b, c) the form ax2 + bxy + cy2, [a, b, c] the equivalence class containing the form (a, b, c), H(d) the form class group of discriminant d, h(d) the class number of discriminant d, R(K, n) the number of representations of n by the class K.

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