**Volume 30** ▶ Number 1 ▷ Number 2 (Online First)

- Volume opened: 4 May 2024
- Status: In progress

**MIN-turns and MAX-turns in k-Dyck paths: A pure generating function approach**

*Original research paper. Pages 213–222*

Helmut Prodinger

Full paper (PDF, 188 Kb) | Abstract

**Some new results on the negative polynomial Pell’s equation**

*Original research paper. Pages 223–235*

K. Anitha, I. Mumtaj Fathima, and A. R. Vijayalakshmi

Full paper (PDF, 259 Kb) | Abstract

**Sequences in finite fields yielding divisors of Mersenne, Fermat and Lehmer numbers, II**

*Original research paper. Pages 236–252*

A. M. S. Ramasamy

Full paper (PDF, 284 Kb) | Abstract

**On some identities for the DGC Leonardo sequence**

*Original research paper. Pages 253–270*

Çiğdem Zeynep Yılmaz and Gülsüm Yeliz Saçlı

Full paper (PDF, 261 Kb) | Abstract

**The generalized order ( k,t)-Mersenne sequences in groups**

*Original research paper. Pages 271–282*

E. Mehraban, Ö. Deveci, E. Hincal

Full paper (PDF, 302 Kb) | Abstract

**Some infinite series summations involving linear recurrence relations of order 2 and 3**

*Original research paper. Pages 283–310*

Anthony G. Shannon, Peter J.-S. Shiue, Shen C. Huang, Ali Balooch, Yu-Chung Liu

Full paper (PDF, 319 Kb) | Abstract

**The error term of the sum of digital sum functions in arbitrary bases**

*Original research paper. Pages 311–318*

Erdenebileg Erdenebat and Ka Lun Wong

Full paper (PDF, 219 Kb) | Abstract

**On some series involving the binomial coefficients **

*Original research paper. Pages 319–334*

Kunle Adegoke, Robert Frontczak and Taras Goy

Full paper (PDF, 280 Kb) | Abstract

**Infinite multisets: Basic properties and cardinality**

*Original research paper. Pages 335–356*

Milen V. Velev

Full paper (PDF, 1.8 Mb) | Abstract

_{0}(the cardinality of the countably infinite set). It has been established that between finite numbers and ℵ

_{0}there exist hierarchies of transfinite m-cardinals, corresponding to infinite msets. Furthermore, there are examples of infinite msets with negative multiplicity that have a cardinality less than zero. We prove that there is a decreasing sequence of transfinite m-cardinal numbers, corresponding to infinite msets with negative multiplicity, and in this sequence, there is not a smallest transfinite m-cardinal number.

**A generalization of arithmetic derivative to p-adic fields and number fields**

*Original research paper. Pages 357–382*

Brad Emmons and Xiao Xiao

Full paper (PDF, 315 Kb) | Abstract

**Melham’s sums for some Lucas polynomial sequences**

*Original research paper. Pages 383–409*

Chan-Liang Chung and Chunmei Zhong

Full paper (PDF, 295 Kb) | Abstract

**On certain bounds for the divisor function**

*Original research paper. Pages 410–417*

József Sándor

Full paper (PDF, 222 Kb) | Abstract

**On certain relations among the generating functions for certain quadratic forms**

*Original research paper. Pages 418–426*

K. R. Vasuki and P. Nagendra

Full paper (PDF, 213 Kb) | Abstract

**On the distribution of powerful and -free lattice points**

*Original research paper. Pages 427–435*

Sunanta Srisopha and Teerapat Srichan

Full paper (PDF, 246 Kb) | Abstract