Abstract
Michael Knapp, in a previous work, conjectured that every additive sextic form over Q2(√−1) and Q2(√−5)(Formula Presented)in seven variables has a nontrivial zero. In this paper, we show that this conjecture is true, establishing that Γ*(6,Q2(√−1)) = Γ*(6,Q2(√−5)) = 7.
Original language | English |
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Pages (from-to) | 431-446 |
Number of pages | 16 |
Journal | Publicationes Mathematicae Debrecen |
Volume | 99 |
Issue number | 3-4 |
DOIs | |
State | Published - 2021 |
Bibliographical note
Publisher Copyright:© 2021 University of Debrecen, Institute of Mathematics. All rights reserved.
Keywords
- Diophantine equations
- forms in many variables
ASJC Scopus subject areas
- General Mathematics