1 citations · 1 across the 3 of their papers we have counts for
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Most totally real fields do not have universal forms or Northcott property
Nicolas Daans, Vitezslav Kala, Siu Hang Man +2
We show that, in the space of all totally real fields equipped with the constructible topology, the set of fields that admit a universal quadratic form, or have the Northcott prope…
Universal quadratic forms and Northcott property of infinite number fields
Nicolas Daans, Vítězslav Kala, Siu Hang Man
We show that if a universal quadratic form exists over an infinite degree, totally real extension of the field of rationals , then the set of totally positive integers…
Minimal rank of universal lattices and number of indecomposable elements in real multiquadratic fields
Siu Hang Man
We establish an upper bound on the number of real multiquadratic fields that admit a universal quadratic lattice of a given rank, or contain a given amount of indecomposable elemen…
Unimodality of ranks and a proof of Stanton's conjecture
Kathrin Bringmann, Siu Hang Man, Larry Rolen
Recently, much attention has been given to various inequalities among partition functions. For example, Nicolas, {and later DeSavlvo--Pak,} proved that is eventually log-con…
Almost Universal Weighted Ternary Sums of Polygonal Numbers
Siu Hang Man, Archie Mehta
For a natural number , generalized -gonal numbers are defined by the formula with . In this paper, we determine a criterion…
The Bruinier--Funke pairing and the orthogonal complement of unary theta functions
Ben Kane, Siu Hang Man
We describe an algorithm for computing the inner product between a holomorphic modular form and a unary theta function, in order to determine whether the form is orthogonal to unar…