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math.NT2024
Jacobi forms of weight one on
Jialin Li, Haowu Wang
Let be the vector space of Jacobi forms of weight one and index on . In 1985, Skoruppa proved that for all . In 2007, Ibukiyama and Skoru…
math.NT2024
Sums of four polygonal numbers: precise formulas
Jialin Li, Haowu Wang
In this paper we give unified formulas for the numbers of representations of positive integers as sums of four generalized -gonal numbers, and as restricted sums of four squares…
math-ph2024
On Intermediate Exceptional Series
Kimyeong Lee, Kaiwen Sun, Haowu Wang
The Freudenthal--Tits magic square for of semi-simple Lie algebras can be extende…