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LIST OF
PUBLICATIONS
I. Research Papers
1. MR2390439, On a
Class of Integral Operators, Integral Equations and Operator Theory, Vol.
60, No.4, April, 2008, pdf
2. MR2433620, On a class of lacunary
series in BMOA, J. Math. Anal. Appl. 342, Issue 2, 2008, 773-779, pdf
3. MR2431106, Norm Calculations of
Composition Operators on Fock Spaces, Acta Sci. Math. (Szeged), 74 (2008),
281-288, pdf
4. The Fock Space and Related Bergman Type Integral Operators, Ph.D Thesis, April, 20, 2007.
5. From Lalescu's Sequence to a Gamma
function limit, Gazette of the Aust. Math. Soc., Vol. 35, No. 5, November
2008, pdf
6. A convergence criteria for multiple
harmonic series, To appear in Creative Math and Informatics.
7. Norm Calculations of a Class of
Integral Operators, Submitted.
8. A note on a conjectured Nesbitt type inequality, with S. Wu,
Submitted.
Notes
1. A note on an olympiad problem, Submitted.
2. A note on an integral identity of
Ramanujan.
Papers on
elementary mathematics
1.The non-existence of integer
solutions
to py^2=x^4+x, with K. Zelator, To appear in The Mathematical Gazette, July 2010
II. Problems of mine that have
been published in mathematics magazines
1. MR1543948, Problem
10904, The American Mathematical Monthly, Vol.108, No.9, Nov. 2001, (pdf)
2. Problem 10950, The American Mathematical Monthly, Vol.109, No6, June-July 2002, (pdf)
3. Problem 11015, The American Mathematical Monthly,Vol.110, No5, May 2003, (pdf)
4. Problem 767, The College Mathematics
Journal, Vol.35, No1, January 2004
5. Problem 773, The College Mathematics
Journal, Vol.35, No2, March 2004
6. Problem B-926, The Fibonacci
Quarterly, Vol.39, No5, November 2001
2002
7. Problem B-931, The Fibonacci
Quarterly, Vol.40, No1, February 2002
8. Problem B-932, The Fibonacci
Quarterly, Vol.40, No1, February 2002
9. Problem B-933, The Fibonacci Quarterly,
Vol.40, No1, February 2002
10. Problem B-935, The Fibonacci
Quarterly, Vol.40, No2, May 2002
2003
11. Problem B-955, The Fibonacci
Quarterly, Vol.41, No1,February 2003
12. Problem B-956, The Fibonacci
Quarterly, Vol.41, No2, May 2003
13. Problem B-963, The
Fibonacci Quarterly, Vol. 41. No4, August 2003
14. Problem B-979, The
Fibonacci Quarterly, Vol.42, No2, May 2004
15. Problem H-602, The
Fibonacci Quarterly, Vol.41, No4, August 2003
16. Problem 144, MJMS,
Vol.15, No3, Fall 2003
17. Problem 150, MJMS, Spring
2004
18. Problem 1070, The
Journal, Fall 2003
2004
19. Problem 1075, The
Journal, Spring 2004
20. Problem 1085, The
Journal, Fall 2004, PME JOURNAL
21. Problem 2979, Crux
with Mayhem, Vol.30, No7, November 2004
22. Problem 2985, Crux
with Mayhem, Vol.30, No7, November 2004
23. Problem 4784,
School Science and Mathematics, Vol.103, May 2003
24. Problem 570, The
Pentagon, Vol.63, Fall 2003
25. Problem 154, MJMS,
Vol.17, No1, Winter 2005, MJMS
26. Problem 156, MJMS,
Vol.17, No1, Winter 2005
27. Problem 4819,
School Science and Mathematics, Vol.103, No3, March 2004
2005
28. Problem 3041, Crux
with Mayhem, Vol.31, No 4, May 2005
29. Problem 3043, Crux
with Mayhem, Vol.31, No 4, May 2005
30. Problem Q 951.
Mathematics Magazine, Vol. 78, No 3, June 2005
31. Problem H-624, The
Fibonacci Quarterly, Vol. 43, May 2005, No2
32. Problem B-999, The
Fibonacci Quarterly, Vol. 43, May 2005, No2
33. Problem 809, The
College Mathematics Journal Vol.36, No.4, September 2005
34. Problem 158, MJMS,
Vol.17, No 2, Spring 2005, MJMS
35. Problema 43, La
GACETA DE LA RSME, Vol. 8. 3. 2005, LA GACETA DE LA RSME
36. Problem 812, The
College Mathematics Journal, Vol.36, No5, November 2005
37. Problem 1733,
Mathematics Magazine, Vol. 78, December 2005
38. Problem H-634,The
Fibonacci Quarterly, Vol. 43, No. 4, November 2005
2006
39. Problem 816, The
College Mathematics Journal, Vol.37, No.1, January 2006
40. Problema 50, LA
GACETA DE LA RSME, Vol.9. No.1, 2006, LA GACETA DE LA RSME
41. Problem H-637, The
Fibonacci Quarterly, Vol. 44, February 2006, Number 1
42. Problem U14,
Mathematical Reflections, Issue 3, 2006, MATHEMATICAL REFLECTIONS
43. Problem U16,
Mathematical Reflections, Issue 3, 2006, MATHEMATICAL REFLECTIONS
44. Problem 11229, The American
Mathematical Monthly, Vol. 113, No.6, June-July 2006, (pdf), (pdf)
45. Problema 57, LA
GACETA DE LA RSME, Vol. 9. No.2, 2006, LA GACETA DE LA RSME
46.
Problem 06-007, A ‘Harmonic‘ Series, 2006, SIAM PROBLEMS AND
SOLUTIONS
47. Problem 164, MJMS,
2006, Vol. 2
48. Problem 73, Univ.
Beograd. Publ. Elektrotehn. Fak. Vol. 17, 2006, PUBL.ELEKTROTEHN.FAK.
49. Problem U21,
Mathematical Reflections, Issue 4, 2006, MATHEMATICAL REFLECTIONS
50. Problem U27,
Mathematical Reflections, Issue 5, 2006, MATHEMATICAL REFLECTIONS
51.
Problema 65, LA GACETA DE LA RSME, Vol. 9. No.3, 2006, LA GACETA DE LA RSME
52. Problema 136,
REOIM, No. 28, 2006
2007
53. Problem 844, The College
Mathematics Journal, Vol. 38, January, 2007 pdf , Solution
54. Problem 1764, Mathematics Magazine,
Vol. 79, February, 2007
55. Problem 1151, PME, Vol. 12, No. 6, Spring 2007, PME
56. Problema 143, REOIM, No. 29, 2007, Escolar
57. Problem 3226, Crux with Mayhem, Vol.
33, No.3, April 2007
58. Problem 3227, Crux with Mayhem, Vol.
33, No.3, April 2007
59. Problem Q 969, Mathematics Magazine, Vol. 80, No. 2, April 2007, pdf
60. Problem 79, AADM, Vol. 18, 2007,
AADM
61. Problem 854, The College Mathematics Journal, Vol. 38, May 2007, pdf
Note: This result has been mentioned here
pdf
62. Problem 4983, SSM, Vol. 107, No.
6, October 2007, pdf
63. Problem 166, MJMS, Vol. 19, 2007, pdf
64. Problema 82, La Gaceta de la RSME,
Vol. 10, Mayo-Agosto, 2007, pdf
65. Problem 07-002, A Multiple Fractional Integral, SIAM, pdf
66. Problem 91.H, The Mathematical
Gazette, Vol. 91, Number 521, July 2007, pdf
67. Problem H-648, The Fibonacci
Quarterly, Vol. 44, Number 4, November 2006, pdf
68. Problem 11308, The American Mathematical Monthly, Vol. 114, No7, (pdf), (pdf)
69. Problem 3261, Crux with Mayhem, Vol.
33, No5, September, 2007, pdf
70. Problem 3262, Crux
with Mayhem, Vol. 33, No5, September, 2007, pdf
71. Problema 149, Revista Escolar, Numero
30, Marzo-April, 2007, pdf
72. Problema 150, Revista Escolar, Numero
30, Marzo-April, 2007, pdf
73. Problem 3277, Crux
with Mayhem, Vol. 33, November, 2007, pdf
74. Problem 3288, Crux
with Mayhem, Vol. 33, November, 2007, pdf
75. Problem 11316, The American Mathematical Monthly, Vol. 114, No.8, October 2007, pdf
76. Problem F07-4, The Harvard College Mathematics
Review, Vol. 1, No.2, Fall
2007, pdf
77. Problema 94, LA
GACETA DE LA RSME, Vol. 10.3 2007, pdf
78. Problem H-653, The Fibonacci Quarterly , No.1, February 2007, pdf
79. Problem 1784,
Mathematics Magazine, Vol.80, December 2007, pdf
2008
80. Problem 5001, School Science
and Mathematics, Vol. 108, No.1, January 2008, pdf
81. Problem 11338, The American Mathematical Monthly, Vol. 115, No.1, January 2008, pdf
82. Problem 5006, SSM,
Vol. 108, No.1, February 2008, pdf
83. Problem 3301, Crux with Mayhem , Vol. 34, No.1, February 2008, pdf
84. Problema 99, La Gaceta de la RSME, Vol. 11, No.1, 2008, pdf
85. Problem 5013, SSM,
Vol. 108, March, 2008, pdf
86. Problem 1172, PME,
Spring, 2008.
87. Problem 873, The
College Mathematics Journal, Vol. 39, No2, March, 2008 pdf
88. Problem 33, Open Problem, European Mathematical Society, Newsletter, March
2008, pdf
89. Problem A, Nieuw Archief voor
Wiskunde, 5/9, Maart, 2008, pdf
90. Problema 155, Revista
Escolar, Numero 31, 2008, pdf
91. Problem S08-3, The
Harvard College Mathematics Review, Vol.2, No.1, Spring 2008, pdf
92. Problem 877, The
College Mathematics Journal, Vol.39, No.3, May 2008, pdf
93. Problema 103, La
Gaceta de la RSME, Vol.11, No.2, 2008, pdf
94. Problem U90,
Mathematical Reflections, Issue 3, 2008, pdf
95. Problem 885, The
College Mathematics Journal, Vol. 39, No.4, September 2008, pdf
96. Problem 1797,
Mathematics Magazine, Vol. 81, No. 3, June 2008, pdf
97. Problem 11371, The
American Mathematical Monthly, Vol. 115, No. 6, June-July 2008, pdf
98. Problem U 95,
Mathematical Reflections, 2008, Issue 4, pdf
99. Problema 113 , La
Gaceta de la RSME, Vol. 11, No 3, 2008, pdf
100. Problem 08-001, A Cosine Integral Series, SIAM, 2008, pdf
101. Problem 5031, SSM,
Vol. 108(6), October 2008, pdf
102. Problema 156,
Revista Escolar, Numero 32, Mayo-Junio de 2008, pdf
103. Problema 157,
Revista Escolar, Numero 32, Mayo-Junio de 2008, pdf
104. Problem 3357, Crux
with Mayhem, Vol. 34, No. 5, September 2008, pdf
105. Problem 2005,
Mathematics Magazine, Vol. 81, No. 4, October 2008, pdf
106. Problem 3057, SSM,
Vol. 108, No. 7, November 2008, pdf
107. Problem 3366, Crux
with Mayhem, Vol. 34, No. 6, October 2008, pdf
108. Problem 3375, Crux
with Mayhem, Vol. 34, No. 6, October 2008, pdf
109. Problem 5043, SSM,
Vol. 108, No. 8, December 2008, pdf
110. Open Problem 7, Problem Corner of
RGMIA, 2008, pdf
111. Problem 3386, Crux with
Mayhem, Vol. 34, No7, November 2008, pdf
112. Problem 3387, Crux
with Mayhem, Vol. 34, No7, November 2008, pdf
113. Problem 92K, The Mathematical Gazette, November 2008
2009
114. Problem 11405, The American Mathematical Monthly, Vol.116, January 2009
115. Problem 893, The College Mathematics Journal, Vol.40, January 2009
116. Problem 895, The College Mathematics Journal, Vol.40, January 2009
117. Problem U114, Mathematical Reflections, Issue 1, 2009
118. Problem 5055, SSM, Issue 2, February, 2009
119. Problem 172, MJMS, Issue 1, 2009
120. Problem 2002, PME, Fall 2009
121. Problem 899, The College Mathematics Journal, Vol.40, No.2, 2009
122. Problem U119, Mathematical Reflections, Issue 2, 2009
Quickies
1.
Problem Q969, Mathematics Magazine, Vol.80, April 2007, pdf
2. Problem Q976,
Mathematics Magazine, Vol.80, December 2007, pdf
3. Problem Q980,
Mathematics Magazine, Vol.81, April 2008, pdf
4. Problem Q984,
Mathematics Magazine, Vol.81, No.4, October, 2008 pdf
5. Problem Q985,
Mathematics Magazine, Vol.81, No.5, December, 2008 pdf
6. Problem Q988,
Mathematics Magazine, To appear, February, 2009, pdf
TO APPEAR
Problem ***, The
Mathematical Gazette, 2008
Problem ***, The
Mathematical Gazette, 2008
Solutions of
mine that have been published in mathematics magazines
1. Problem 986, The
Journal, Spring 2001
2. Problem 995, The
Journal, Fall 2001
3. Problem 1000, The
Journal, Fall 2001
4. Problem 1031, The
Journal, Fall 2002
5. Problem 537, The
Pentagon, Vol.61, No1
6. Problem 544, The
Pentagon, Vol.61, No1
7. Problem 545, The
Pentagon, Vol.61, No2
8. Problem 547, The
Pentagon, Vol.61, No2
9. Problem 556, The
Pentagon, Spring 2003
10. Problem 559, The
Pentagon, Spring, 2003
11. Problem 560, The Pentagon,
Vol. 63, No1, Fall 2003
12. Problem 566, The
Pentagon, Vol.63, No2, Spring 2004
13. Problem 133, MJMS,
Vol.14, Fall 2002
14. Problem 136, MJMS,
Vol.14, Fall 2002
15. Problem 138, MJMS,
Fall 2003
16. Problem 143, MJMS,
Vol.16, No3, Fall 2004
17. Problem 4750, School
Science and Mathematics, Vol.102, May 2003
18. Problem 4774, School
Science and Mathematics, Vol.104, January 2004
19. Problem B-969, The
Fibonacci Quarterly, Vol.42, August 2004, No3
20. Problem B-971, The
Fibonacci Quarterly, Vol.42, November 2004, No4
21. Problem 2797, Crux
with Mayhem, Vol.29, No8, December 2003
22. Problem 2810, Crux
with Mayhem, Vol.30, No1, February 2004
23. Problem 2840, Crux
with Mayhem, Vol.30, No4, May 2004
24. Problem 2871, Crux
with Mayhem, Vol.30, No6, October 2004
25. Problem 146, MJMS,
Vol.17, No1, Winter 2005
26. Problem 147, MJMS,
Vol.17, No1, Winter 2005
27. Problem 4812, School
Science and Mathematics, Vol. 104 No 8 December 2004
28. Problem H-610, The
Fibonacci Quarterly, Vol. 43, May 2005, No2
29. Problem 570, The
Pentagon, Vol. 42, No2, Spring 2005
30. Problem 1097, The
Journal, Volume 12, Fall 2005
31. Problem 4861,
School Science and Mathematics, Vol. 105, No 8 December 2005
32. Problem 4867,
School Science and Mathematics, Vol. 106, No 1, January 2006
33. Problem 2984, Crux
with Mayhem, Volume 32, No.1, February 2006
34. Problem 4873, SSM,
Vol. 102, No.2, February 2006
35. Problem B-1000, The
Fibonacci Quarterly, Vol. 44, February 2006, Number 1
36. Problem U14,
Mathematical Reflections, Issue 4, 2006, MATHEMATICAL REFLECTIONS
37. Problem U18,
Mathematical Reflections, Issue 4, 2006, MATHEMATICAL REFLECTIONS
38. Problem
43, La Gaceta de la RSME, Vol. 9, No. 3, 2006, LA GACETA DE LA RSME
39. Problem
155, Vol. 18, Issue #2, Spring 2006, MJMS
40. Problem 159, MJMS, Vol. 19, Issue #1,
Winter 2007, MJMS
41. Problem 826, The College Mathematics
Journal, Vol. 38, May 2007, pdf
42. Problem B-1013, The Fibonacci
Quarterly, Vol. 44, Number 4, November 2006
43. Problema 141, Revista Escolar, Numero
30, Marzo-April, 2007, pdf
44. Problema 143, Revista
Escolar, Numero 30, Marzo-April, 2007, pdf
45. Problem 164, MJMS, Vol.19, No. 2,
Spring 2007, pdf
46. Problem 18, EMS, Newsletter, March
2008, (with K. Zelator), pdf
47. Problem 22, EMS, Newsletter, March
2008, pdf
48. Problem 23, EMS, Newsletter, March
2008, pdf
49. Problem J85, Math. Reflections, 2008,
Issue 3, pdf
50. Problem J87, Math. Reflections, 2008,
Issue 3, pdf
51. Problem U88, Math. Reflections, 2008,
Issue 3, pdf
52. Problem 1, RGMIA, 2008, pdf
Problems
for which I have submitted solutions
The American
Mathematical Monthly
10824, 10874, 10884,
10880, 10904, 10895, 10919, 10886, 10941, 10950, 10944, 10934, 10954,
10955, 10959, 10962,
10970, 10973, 10987, 10996, 11011, 11015, 11016, 11030, 11101, 11046,
11159, 11172, 11177,
11197, 11206, 11196
Mathematics
Magazine
1617, 1618, 1619, 1624,
1625, 1626, 1630, 1635, 1637, 1639, 1640, 1641, 1648, 1649, 1651, 1652,
1653, 1655, 1657, 1659,
1660, 1662, 1663, 1665, 1666, 1667, 1668, 1670, 1674, 1679, 1704, 1709,
1723 1724,
The College
Mathematics Journal
705, 707, 709, 710, 718,
719, 720, 721, 722, 725, 726, 727, 730, 741, 742, 744, 747, 748, 756,
757, 759, 766, 767, 768,
769, 770, 792, 805, 819
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