10 citations · 11 across the 11 of their papers we have counts for
6 papers · 1 filter
On the power mean of a sum analogous to the Kloosterman sum
Shane Chern
In this paper, we study the power mean of a sum analogous to the Kloosterman sum by using analytic methods for character sums.
On partitions with even parts below odd parts
Shane Chern
Recently, Andrews gave a detailed study of partitions with even parts below odd parts in which only the largest even part appears an odd number of times. In this paper, we provide…
Congruences for partition functions related to mock theta functions
Shane Chern, Li-Jun Hao
Partitions associated with mock theta functions have received a great deal of attention in the literature. Recently, Choi and Kim derived several partition identities from the thir…
On certain weighted 7-colored partitions
Shane Chern, Dazhao Tang
Inspired by Andrews' 2-colored generalized Frobenius partitions, we consider certain weighted 7-colored partition functions and establish some interesting Ramanujan-type identities…
Pricing VIX Derivatives With Free Stochastic Volatility Model
Wei Lin, Shenghong Li, Shane Chern
In this paper, we relax the power parameter of instantaneous variance and develop a new stochastic volatility plus jumps model that generalize the Heston model and 3/2 model as spe…
Some congruences modulo 5 and 25 for overpartition
Shane Chern, Manosij Ghosh Dastidar
We present two new Ramanujan-type congruences modulo 5 for overpartition. We also give an affirmative answer to a conjecture of Dou and Lin, which includes four congruences modulo…