4 citations · 11 across the 9 of their papers we have counts for
9 papers
Higher Hickerson formula
Jungyun Lee, Byungheup Jun, Hi-joon Chae
Hickerson made an explicit formula for Dedekind sums in terms of the continued fraction of . We develop analogous formula for generalized Dedekind sums …
An analogue of the Rademacher function for generalized Dedekind sums in higher dimension
Hi-Joon Chae, Byungheup Jun, Jungyun Lee
We consider generalized Dedekind sums in dimension , for fixed -tuple of natural numbers, defined as sum of products of values of periodic Bernoulli functions. This includes…
Equidistribution of generalized Dedekind sums and exponential sums
Byungheup Jun, Jungyun Lee
For the generalized Dedekind sums s_{ij}(p,q) defined in association with the x^{i}y^{j}-coefficient of the Todd power series of the lattice cone in R^2 generated by (1,0) and (q,p…
Special values of partial zeta functions of real quadratic fields at nonpositive integers and Euler-Maclaurin formula
Byungheup Jun, Jungyun Lee
We compute the special values at nonpositive integers of the partial zeta function of an ideal of a real quadratic field applying an asymptotic version of Euler-Maclaurin formula t…
Caliber numbers of real quadratic fields
Byungheup Jun, Jungyun Lee
We obtain lower bound of caliber number of real quadratic field $K=\FQ(\sqrt{d})$ using splitting primes in . We find all real quadratic fields of caliber number 1 and find all…
Polynomial behavior of special values of partial zeta function of real quadratic fields at s=0
Byugheup Jun, Jungyun Lee
We compute the special values of partial zeta function at for family of real quadratic fields and ray class ideals $\fb_n$ such that $\fb_n^{-1} = [1,δ(n)]$ where the c…
The behavior of Hecke's L-function of real quadratic fields at s=0
Byungheup Jun, Jungyun Lee
For a family of real quadratic fields $\{K_n=\FQ(\sqrt{f(n)})\}_{n\in \FN}$, a Dirichlet character modulo and prescribed ideals $\{\fb_n\subset K_n\}$, we investigate the l…
Period determinant of an irregular connection over an elliptic curve
Byungheup Jun
In this article, we calculate the period determinant of an irrgular singular connection d+dy on the legendre curve U: y^2 =x(x-1)(x- lambda). We calculate its de Rham cohomology an…
Monodromies of Algebraic Connections on the Trivial Bundle
B. Jun
In this note, we study monodromies of algebraic connections on the trivial vector bundle. We prove that on a smooth complex affine curve, any monodromy arises as the underlying loc…