2 papers
math.NT2018
Proofs for two Lambert series identities of Gosper
Bing He
Applying the theory of modular forms and Lambert series manipulations we establish an Eisenstein series identity. From this formula we confirm a Lambert series identity conjectured…
math.NT2016
An Appell series over finite fields
Bing He, Long Li, Ruiming Zhang
In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.