Hokkaido Mathematical Journal

Truncated Euler-Carlitz numbers

Takao KOMATSU, Vichian LAOHAKOSOL, and Pinthira TANGSUPPHATHAWAT

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

In this paper, we introduce the truncated Euler-Carlitz numbers as analogues of hypergeometric Euler numbers. In a special case, Euler-Carlitz numbers are defined, which is an analogue of the classical Euler numbers. We give several interesting properties for these numbers. We also show some determinant expressions of Euler-Carlitz numbers.

Article information

Source
Hokkaido Math. J., Volume 48, Number 3 (2019), 569-588.

Dates
First available in Project Euclid: 14 November 2019

Permanent link to this document
https://projecteuclid.org/euclid.hokmj/1573722018

Digital Object Identifier
doi:10.14492/hokmj/1573722018

Mathematical Reviews number (MathSciNet)
MR4031252

Subjects
Primary: 11R58: Arithmetic theory of algebraic function fields [See also 14-XX]
Secondary: 11T55: Arithmetic theory of polynomial rings over finite fields 11B68: Bernoulli and Euler numbers and polynomials 11B37: Recurrences {For applications to special functions, see 33-XX} 11B75: Other combinatorial number theory 05A15: Exact enumeration problems, generating functions [See also 33Cxx, 33Dxx] 05A19: Combinatorial identities, bijective combinatorics

Keywords
Euler-Carlitz numbers Bernoulli-Carlitz numbers function fields determinants recurrence relations

Citation

KOMATSU, Takao; LAOHAKOSOL, Vichian; TANGSUPPHATHAWAT, Pinthira. Truncated Euler-Carlitz numbers. Hokkaido Math. J. 48 (2019), no. 3, 569--588. doi:10.14492/hokmj/1573722018. https://projecteuclid.org/euclid.hokmj/1573722018


Export citation