17 citations · 36 across the 8 of their papers we have counts for
8 papers
L-functions of certain exponential sums over finite fields II
Xin Lin, Chao Chen
In this paper, we compute the -adic slopes of the L-functions of an important class of exponential sums arising from analytic number theory. Our main tools include Adolphson-Spe…
Several combinatorial identities derived from series expansions of powers of arcsine
Feng Qi, Chao-Ping Chen, Dongkyu Lim
In the paper, with the aid of the series expansions of the square or cubic of the arcsine function, the authors establish several possibly new combinatorial identities containing t…
Hasse Polynomials of L-functions of Certain Exponential Sums
Chao Chen
In this paper, we focus on computing the higher slope Hasse polynomials of L-functions of certain exponential sums associated to the following family of Laurent polynomials $f(x_1,…
L-functions of Certain Exponential Sums over Finite Fields
Chao Chen, Xin Lin
In this paper, we completely determine the slopes and weights of the L-functions of an important class of exponential sums arising from analytic number theory. Our main tools inclu…
On the Wilker and Huygens-type inequalities
C. P Chen, R B Paris
Chen and Cheung [C.-P. Chen, W.-S. Cheung, Sharpness of Wilker and Huygens type inequalities, J. Inequal. Appl. 2012 (2012) 72, \url{http://dx.doi.org/10.1186/1029-242X-2012-72}] e…
Series representations of the remainders in the expansion for certain trigonometric and hyperbolic functions with applications
C. -P. Chen, R. B. Paris
In this paper, we present series representations of the remainders in the expansions for certain trigonometric and hyperbolic functions. By using the obtained results, we establish…
On the asymptotic expansions of products related to the Wallis, Weierstrass and Wilf formulas
C. -P. Chen, R. B. Paris
For all integers , let \begin{align*} W_n(p,q)=\prod_{j=1}^{n}\left\{e^{-p/j}\left(1+\frac{p}{j}+\frac{q}{j^2}\right)\right\} \end{align*} and \begin{align*} R_n(p, q)=\pro…
The best bounds of harmonic sequence
Chao-Ping Chen, Feng Qi
For any natural number , where denotes Euler's const…