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词条 Loeschian number
释义

  1. References

{{Infobox integer sequence
| image =
| image_size =
| alt =
| caption =
| named_after = August Lösch
| publication_year =
| author =
| terms_number =
| con_number =
| number =
| parentsequence = [https://oeis.org/A032766 A032766]
| formula = x2 + xy + y2 for integer x, y
| first_terms = 0, 1, 3, 4, 7, 9, 12, 13, 16
| largest_known_term =
| OEIS = A003136
| OEIS_name = Loeschian numbers
}}

In number theory, the numbers of the form x2 + xy + y2 (for integer x, y) are called the

Loeschian numbers. These numbers are named after August Lösch. They are the norms of the Eisenstein integers.

References

  • {{cite journal|first=J. U.|last=Marshall|title=The Loeschian numbers as a problem in number theory|journal=Geographical Analysis|volume=7|year=1975|pages=421–426}}
  • {{cite web|url=https://oeis.org/A003136|title=A003136|publisher=On-Line Encyclopedia of Integer Sequences|access-date=19 July 2018}}
{{Series (mathematics)}}{{Classes of natural numbers}}{{numtheory-stub}}

1 : Integer sequences

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