Diophantine inequality involving binary forms

doi:10.1007/s11464-013-0334-6

Front. Math. China

2014, Vol. 9

Issue (3) : 641-657 https://doi.org/10.1007/s11464-013-0334-6

RESEARCH ARTICLE

Diophantine inequality involving binary forms

Boqing XUE(

)

Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China

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Abstract

Let r= 2^d-1 + 1. We investigate the diophantine inequality|∑i=1rλiΦi(xi,yi)+η||<(max?1≤i≤r{|xi|,|yi|})-σwhere Φ_i(x, y) ∈Z[x, y] (1≤i≤r) are nondegenerate forms of degree d= 3 or 4.

Keywords Diophantine inequality binary form

Corresponding Author(s): Boqing XUE

Issue Date: 24 June 2014

Cite this article:

Boqing XUE. Diophantine inequality involving binary forms[J]. Front. Math. China, 2014, 9(3): 641-657.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0334-6
https://academic.hep.com.cn/fmc/EN/Y2014/V9/I3/641

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