OFFSET
1,2
COMMENTS
The 290-theorem, conjectured by Conway and Schneeberger and proved by Bhargava and Hanke, asserts that a positive definite quadratic form represents all numbers iff it represents the numbers in this sequence. - T. D. Noe, Mar 30 2006
REFERENCES
J. H. Conway and W. A. Schneeberger, personal communication.
LINKS
Manjul Bhargava and Jonathan Hanke, Universal quadratic forms and the 290-Theorem Inventiones Math., 2005
Jangwon Ju and Byeong-Kweon Oh, Universal mixed sums of generalized 4- and 8-gonal numbers, arXiv:1809.03673 [math.NT], 2018. See p. 1.
Alexander J. Hahn, Quadratic Forms over Z from Diophantus to the 290 Theorem, Adv. Appl. Clifford Alg. 18 (2008), 665-676.
Jangwon Ju, Almost universal sums of triangular numbers with one exception, arXiv:2201.04355 [math.NT], 2022.
Yong Suk Moon, Universal Quadratic Forms and the 15-Theorem and 290-Theorem
K. Ono, Honoring a gift from Kumbakonam, Notices Amer. Math. Soc., 53 (2006), 640-651.
Ivars Peterson, All Square: Science News Online
Ivars Peterson, MathTrek, All Square
CROSSREFS
KEYWORD
nonn,fini,full,nice
AUTHOR
STATUS
approved