**Volume 23** ▶ Number 1

**A note on the quartic Diophantine equation A^{4} + hB^{4} = C^{4} + hD^{4}**

*Original research paper. Pages 1—3*

Ajai Choudhry

Full paper (PDF, 113 Kb) | Abstract

**Refinements of the Mitrinović–Adamović inequality, with application**

*Original research paper. Pages 4—6*

József Sándor

Full paper (PDF, 139 Kb) | Abstract

**New theorems on explicit evaluation of a parameter of Ramanujan’s χ(q) function**

*Original research paper. Pages 7—18*

Nipen Saikia and Jubaraj Chetry

Full paper (PDF, 184 Kb) | Abstract

**Inequalities for φ and ψ functions (III)**

*Original research paper. Pages 19—23*

Krassimir T. Atanassov

Full paper (PDF, 148 Kb) | Abstract

**Ascending sequences with neighboring elements add up to perfect square numbers**

*Original research paper. Pages 24—27*

Kai Jin

Full paper (PDF, 128 Kb) | Abstract

**Some enumerations of non-trivial composition of the differential operations and the directional derivative**

*Original research paper. Pages 28—38*

Ivana Jovović and Branko Malešević

Full paper (PDF, 179 Kb) | Abstract

**Further results on arctangent sums with applications to generalized Fibonacci numbers**

*Original research paper. Pages 39—53*

Robert Frontczak

Full paper (PDF, 206 Kb) | Abstract

**Primitive Pythagorean triples and generalized Fibonacci sequences**

*Original research paper. Pages 54—62*

J. V. Leyendekkers and A. G. Shannon

Full paper (PDF, 206 Kb) | Abstract

**Some combinatorial formulas for the partial r-Bell polynomials**

*Original research paper. Pages 63—76*

Mark Shattuck

Full paper (PDF, 208 Kb) | Abstract

**An elementary alternative proof for Chan’s analogue of Ramanujan’s most beautiful identity and some inequality of the cubic partition**

*Original research paper. Pages 77—87*

Koustav Banerjee and Prabir Das Adhikary

Full paper (PDF, 193 Kb) | Abstract

**A Fibonacci integral lattice approach to Pythagoras’ Theorem**

*Original research paper. Pages 88—90*

Anthony G. Shannon and John N. Crothers

Full paper (PDF, 55 Kb) | Abstract

**On the bounds for the norms of circulant matrices with the Jacobsthal and Jacobsthal–Lucas numbers**

*Original research paper. Pages 91—98*

Ş. Uygun and S. Yaşamalı

Full paper (PDF, 175 Kb) | Abstract

**A note on the density of quotients of primes in arithmetic progressions**

*Original research paper. Pages 99—100*

Brian D. Sittinger

Full paper (PDF, 133 Kb) | Abstract

**On some cancellation algorithms**

*Original research paper. Pages 101—114*

Andrzej Tomski and Maciej Zakarczemny

Full paper (PDF, 224 Kb) | Abstract

**Volume 23** ▶ Number 1