Ruiming Zhang

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math.CA2006

On The Chaotic Asymptotics of Ramanujan's Entire Function $A_{q} (z)$

Ruiming Zhang

We will use a discrete analogue of the classical \emph{Laplace} method to show that for infinitely many positive integers $n$ , the main term of the asymptotic expansions of scaled…

math.CA2006

On A Relation Between $q$ -Exponential And $θ$ -Function

Ruiming Zhang

We will use a discrete analogue of the classical Laplace method to show that for infinitely many positive integers $n$ , the main term of the asymptotic expansion of the scaled $q$ -…

math.CA2006

On A Limiting Relation Between Ramanujan's Entire Function $A_{q} (z)$ And $θ$ -Function

Ruiming Zhang

We will use a discrete analogue of the classical Laplace method to show that the main term of the asymptotic expansions of certain entire functions, including Ramanujan's entire fu…

On The Chaotic Asymptotics of Ramanujan's Entire Function Aq​(z)

On A Relation Between q-Exponential And θ-Function

On A Limiting Relation Between Ramanujan's Entire Function Aq​(z) And θ-Function

On The Chaotic Asymptotics of Ramanujan's Entire Function $A_{q} (z)$

On A Relation Between $q$ -Exponential And $θ$ -Function

On A Limiting Relation Between Ramanujan's Entire Function $A_{q} (z)$ And $θ$ -Function