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Small zeros of additive forms in several variables

โœ Scribed by J. S. Hwang


Book ID
110557340
Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
1998
Tongue
English
Weight
377 KB
Volume
14
Category
Article
ISSN
1439-7617

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Onp-Adic Zeros of Additive Forms of Even
โœ Hemar Godinho ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 427 KB

In this paper it is proved that the pair f =a 1 x k 1 + } } } +a n x k n , g=b 1 x k 1 + } } } + b n x k n , with k= p { ( p&1) k 0 and (k 0 , p)=1, has a common p-adic zero provided n 2k 2+w( p, {) , where w( p, {)=1ร‚(log p+(1ร‚{) log( p&1)). It is also proved that if n 2k 2 , then the pair f, g has