Volume 18, 2012
Number 1 Number 2 Number 3 Number 4
 
Volume 18, 2012, Number 1

Order

Title

Author(s)

Pages

1

On certain bounds and limits for prime numbers
Download: PDF, 165 Kb

József Sándor

1-5

2

A note on the area and volume of right-angled triangles with integer sides
Download: PDF, 117 Kb

Winston Buckley

6-8

3

On sums of multiple squares
Download: PDF, 165 Kb

J. V. Leyendekkers and A. G. Shannon

9-15

4

Conductors for sets of large integer squares
Download: PDF, 134 Kb

Ken Dutch and Christy Rickett

16-21

5

Double inequalities on means via quadrature formula
Download: PDF, 195 Kb

K. M. Nagaraja and P. Siva Kota Reddy

22-28

6

Patterns related to the Smarandache circular sequence primality problem
Download: PDF, 736 Kb

Marco Ripŕ and Emanuele Dalmasso

29-48

7

The number of primitive Pythagorean triples in a given interval
Download: PDF, 184 Kb

J. V. Leyendekkers and A. G. Shannon

49-57

8

Note on ϕ, ψ and σ-functions. Part 5
Download: PDF, 142 Kb

Krassimir Atanassov

58-62

9

A short note on the Inclusion-Exclusion principle: A modification with applications
Download: PDF, 205 Kb

Acquaah Peter

63-71

10

Elliptic Tales: Curves, Counting and Number Theory by Avner Ash and Robert Gross
Download: PDF, 101 Kb

— Book review by A. Shannon —

72

 
Volume 18, 2012, Number 2

Order

Title

Author(s)

Pages

1

Row-wise representation of arbitrary rhotrix
Download: PDF, 662 Kb

Chinedu M. Peter

1-27

2

The modular ring Z5
Download: PDF, 46 Kb

J. V. Leyendekkers and A. G. Shannon

28-33

3

On the solutions of the equation x2 + 19m = yn
Download: PDF, 208 Kb

Bilge Peker and Selin (İnağ) Çenberci

34-41

4

On Tate-Shafarevich groups of families of elliptic curves
Download: PDF, 228 Kb

Jerome T. Dimabayao and Fidel R. Nemenzo

42-55

5

Quotients of primes in arithmetic progressions
Download: PDF, 64 Kb

Ace Micholson

56-57

6

Pellian sequence relationships among π, e, √2
Download: PDF, 143 Kb

J. V. Leyendekkers and A. G. Shannon

58-62

7

Short remarks on Jacobsthal numbers
Download: PDF, 104 Kb
      
Erratum in NNTDM, Vol. 19, No. 1, p. 84
        Download: PDF, 74 Kb

Krassimir Atanassov

63-64

 
Volume 18, 2012, Number 3

Order

Title

Author(s)

Pages

1

In Memoriam: Prof. Antal Bege
(1962–2012)
Download: PDF, 107 Kb

— Editorial by J. Sándor —

1-4

2

A modification of an elementary numerical inequality
Download: PDF, 109 Kb

Krassimir Atanassov

5-7

3

Odd-powered triples and Pellian sequences
Download: PDF, 123 Kb

J. V. Leyendekkers and A. G. Shannon

8-12

4

Fibonacci numbers at most one away from a product of factorials
Download: PDF, 166 Kb

Diego Marques

13-19

5

Isomorphism testings for graph CG(ab)
Download: PDF, 234 Kb

Worrawate Leela-Apiradee and Yotsanan Meemark

20-34

6

A new elementary proof of the inequality ϕ(n) > π (n)
Download: PDF, 131 Kb

Carlo Sanna

35-37

7

Generalized differential operators
Download: PDF, 44 Kb

A. G. Shannon

38-44

8

A note on sumsets and difference sets in Z/nZ
Download: PDF, 168 Kb

Christopher J. Richardson and Craig V. Spencer

45-47

9

The Irrationals: A Story of the Numbers You Can't Count On by Julian Havil
Download: PDF, 107 Kb

— Book review by A. Shannon —

48

 
Volume 18, 2012, Number 4

Order

Title

Author(s)

Pages

1

A new proof of Lucas’ Theorem
Download: PDF, 171 Kb

Alexandre Laugier and Manjil P. Saikia

1-6

2

Pellian sequences and squares
Download: PDF, 33 Kb

J. V. Leyendekkers and A. G. Shannon

7-10

3

On the polynomial and maximal solutions to a functional equation arising from multiplication of quantum integers
Download: PDF, 257 Kb

Lan Nguyen

11-39

4

The common minimal equitable dominating signed graphs
Download: PDF, 150 Kb

P. Siva Kota Reddy and U. K. Misra

40-46

5

On Zagier’s conjecture for L(E, 2): A number field example
Download: PDF, 164 Kb

Jeffrey Stopple

47-53

6

Solving algebraic equations with Integer Structure Analysis
Download: PDF, 100 Kb

J. V. Leyendekkers and A. G. Shannon

54-60

7

Generalized Hurwitz series
Download: PDF, 97 Kb

A. G. Shannon

61-68

8

Remark on the hollow triangular and quadratic numbers
Download: PDF, 99 Kb

Krassimir Atanassov

69-70

9

A comment on a result of Virgolici
Download: PDF, 103 Kb

Mickey Polasub

71-72

 
About NNTDM

Editorial Board

Journal Contents

    Volume 19, 2013
    Volume 18, 2012
    Volume 17, 2011
    Volume 16, 2010
    Volume 15, 2009
    Volume 14, 2008
    Volume 13, 2007
    Volume 12, 2006
    Volume 11, 2005
    Volume 10, 2004
    Volume 9, 2003
    Volume 8, 2002
    Volume 7, 2001
    Volume 6, 2000
    Volume 5, 1999
    Volume 4, 1998
    Volume 3, 1997
    Volume 2, 1996
    Volume 1, 1995

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