137 citations
- University of KaiserslauternDE20 papers
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- Korea Advanced Institute of Science and TechnologyKR6 papers
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15 papers · 1 filter
Appell-Carlitz numbers
Su Hu, Min-Soo Kim
In this paper, we introduce the concept of the (higher order) Appell-Carlitz numbers which unifies the definitions of several special numbers in positive characteristic, such as th…
Infinite order linear differential equation satisfied by -adic Hurwitz-type Euler zeta functions
Su Hu, Min-Soo Kim
In 1900, at the international congress of mathematicians, Hilbert claimed that the Riemann zeta function is not the solution of any algebraic ordinary differential equations…
Irregular primes with respect to Genocchi numbers and Artin's primitive root conjecture
Su Hu, Min-Soo Kim, Pieter Moree +1
In this paper, we introduce and study a variant of Kummer's notion of (ir)regularity of primes which we call G-irregularity. It is based on Genocchi numbers , rather than Bern…
On Dirichlet's lambda functions
Su Hu, Min-Soo Kim
Let and be the Dirichlet lambda fu…
Asymptotics of generalized partial theta functions with a Dirichlet character
Su Hu, Min-Soo Kim
In this paper, we prove asymptotic expansions of generalized partial theta functions with a nonprincipal Dirichlet character and relate these expansions to certain -series.
Multiplicative functions commutable with sums of squares
Poo-Sung Park
Let be an integer greater than or equal . We show that if a multiplicative function satisfies \[ f(x_1^2 + x_2^2 + \dots + x_k^2) = f(x_1)^2 + f(x_2)^2 + \dots + f(x_k)^…