8 citations · 18 across the 12 of their papers we have counts for
12 papers
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…
Distributions of parity differences and biases in partitions into distinct parts
Siu Hang Man
For a partition , we let , the parity difference of , be the number of odd parts of minus the number of even parts of . We prove for $c_0…
Asymptotics of parity biases for partitions into distinct parts via Nahm sums
Kathrin Bringmann, Siu Hang Man, Larry Rolen +1
For a random partition, one of the most basic questions is: what can one expect about the parts which arise? For example, what is the distribution of the parts of random partitions…
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…
A Density Theorem for
Siu Hang Man
Strong bounds are obtained for the number of automorphic forms for the group violating the Ramanujan conjecture at any given unra…
Symplectic Kloosterman Sums and Poincaré Series
Siu Hang Man
We prove power-saving bounds for general Kloosterman sums on associated to all Weyl elements via a stratification argument coupled with -adic stationary p…
Fourier coefficients of Eisenstein Series
Siu Hang Man
We compute explicit formulae for the constant terms and Fourier coefficients for Eisenstein series on , in terms of zeta functions and Whittaker fu…
Interesting identities involving weighted representations of integers as sums of arbitrarily many squares
Min-Joo Jang, Ben Kane, Winfried Kohnen +1
In this paper, we obtain formulas for the number of representations of positive integers as sums of arbitrarily many squares (and other polygonal numbers) with a certain natural we…
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…