Articles

Postscript Format

C. Cooper, "Application of a Generalized Fibonacci Sequence", The College Mathematics Journal, Vol. 15, No. 2 (Mar. 1984), 145-146.
R. E. Kennedy and C. Cooper, "On the Natural Density of the Niven Numbers", The College Mathematics Journal, Vol. 15, No. 4 (Sep. 1984), 309-312.
C. Cooper, "Trees and Tennis Rankings", The College Mathematics Journal, Vol. 17, No. 1 (Jan. 1986), 76-78.
C. Cooper, "Geometric Series and a Probability Problem", The American Mathematical Monthly, Vol. 93, No. 2 (Feb. 1986), 126-127.
R. E. Kennedy and C. Cooper, "Bach, 5465, and Upside-Down Numbers", The College Mathematics Journal, Vol. 18, No. 2 (Mar. 1987), 111-115.
C. Cooper and R. E. Kennedy, Chebyshev's Inequality and Natural Density", The American Mathematical Monthly, Vol. 96, No. 2 (Feb. 1989), 118-124.
R. E. Kennedy, C. Cooper, V. Drobot, and F. Hickling, "On the Natural Density of the Range of the Terminating Nines Function", International Journal of Mathematics and Mathematical Sciences, 12 (1989), 805-808.
C. Cooper and R. E. Kennedy, "A Generating Function for the Distribution of the Scores of all Possible Bowling Games", Mathematics Magazine, Vol. 63, No. 4 (Oct. 1990), 239-243.
R. E. Kennedy and C. Cooper, "Tau Numbers, Natural Density, and Hardy and Wright's Theorem 437", International Journal of Mathematics and Mathematical Sciences, 13 (1990), 383-386.
R. E. Kennedy and C. Cooper, "The Statistics of the Smallest Space on a Lottery Ticket", The Fibonacci Quarterly, 29 (1991), 367-370.
C. Cooper and R. E. Kennedy, "Patterns, Automata, and Stirling Numbers of the Second Kind", Mathematics and Computer Education Journal, 26 (1992), 120-124.
M. Saadatmanesh, R. E. Kennedy, and C. Cooper, "Super Niven Numbers", Mathematics in College, Fall-Winter 1992, 21-30.
R. E. Kennedy and C. Cooper, "Variations on a Five-by-Five Seating Rearrangement Problem", Mathematics in College, Fall-Winter 1993, 59-67.
C. Cooper and R. E. Kennedy, "On the Number of Occurrences of the Digit 1 in the Sequence of Positive Integers Less Than n", Journal of Institute of Mathematics and Computer Science, 7 (1994), 121-127.
S. Orr and C. Cooper, "A Compact Strategy for Numerical Tic-Tac-Toe," Journal of Recreational Mathematics, 27 (1995), 161-171.
C. Cooper and R. E. Kennedy, "Proof of a Result by Jarden by Generalizing a Proof by Carlitz", The Fibonacci Quarterly, 33 (1995), 304-310.
T. Otake, R. E. Kennedy, and C. Cooper, "On a Seating Rearrangement Problem", Mathematics and Informatics Quarterly, 6 (1996), 63-71.
C. Cooper and R. E. Kennedy, "On the Set of Positive Integers Which are Relatively Prime to Their Digital Sum and its Complement", Journal of Institute of Mathematics & Computer Sciences, 10 (1997), 173-180.
C. Cooper, R. E. Kennedy, and M. Renberg, "On Certain Sums of Functions of Base b Expansions", The Fibonacci Quarterly, 36 (1998), 407-415.
C. Cooper and R. E. Kennedy, "An Explicit Expression for Large Digit Sums in Base B Expansions", Journal of Institute of Mathematics & Computer Sciences, 11 (1998), 25-32.
C. Cooper and R. E. Kennedy, "On Conway's RATS", Mathematics in College, (1998), 28-35.
C. Cooper and R. E. Kennedy, "A Generalization of a Result by Trollope on Digital Sums", Journal of Institute of Mathematics & Computer Sciences, 12 (1999), 17-22.
C. Cooper and R. E. Kennedy, "Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles", Applications of Fibonacci Numbers, Volume 8, 83-93.
R. S. Melham and C. Cooper, "The Eigenvectors of a Certain Matrix of Binomial Coefficients", The Fibonacci Quarterly, 38.2 (2000), 123-126.
S. Shattuck and C. Cooper, "Divergent RATS Sequences", The Fibonacci Quarterly, 39.2 (2001), 101-106.
C. Cooper and R. E. Kennedy, "Finding Moments of the Large Digit Function Using Delange's Method", Journal of Institute of Mathematics & Computer Sciences, 13 (2000), 35-41.
C. Cooper and R. E. Kennedy, "The First Moment of the Number of 1's Function in the Beta-Expansion of the Positive Integers", Journal of Institute of Mathematics & Computer Sciences, 14 (2001), 69-77.
R. E. Kennedy and C. Cooper, "A Generalization of a Result by Narkiewicz Concerning Large Digits of Powers", Univ. Beograd. Publ. Elektrotehn. Fak., 11 (2000), 36-40.
M. Wiemann and C. Cooper, "Divisibility of an F-L Type Convolution", Applications of Fibonacci Numbers, Volume 9, 267-287, 2004.
C. Cooper and M. Parihar, "On Primes in the Fibonacci and Lucas Sequences", Journal of the Institute of Mathematics & Computer Sciences, 15 (2002) 115-121.
C. Cooper, "Bounds on the Number of Large Digits in the Positive Integers Not Exceeding n", Journal of Institute of Mathematics & Computer Sciences, 16 (2003), 13-21.
C. Cooper, "Bounds on a Remainder Term Associated with the Number of Base q Digits >= d Function", Journal of Institute of Mathematics & Computer Sciences, 17 (2004), 233-242.
A. Tinsley and C. Cooper, "Missouri Collegiate Mathematics Competition", FOCUS, 25.6 (August/September 2005), 42-43.
A. Ray and C. Cooper, "On the Natural Density of the k-Zeckendorf Niven Numbers", Journal of Institute of Mathematics & Computer Sciences, 19 (2006), 83-98.
C. Cooper, "An Identity for Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 20 (2007), 1-8.
H. Chen and C. Cooper, "n-Card Tricks", College Mathematics Journal, 40 (2009), 196-201.
C. Cooper, "An Identity for Period k Second Order Linear Recurrence Systems", Congressus Numerantium, Proceedings of the 12th International Conference on Fibonacci Numbers and Their Applications, 200 (2010), 95-106.
C. Cooper and L. Somer, "Lucas (a_1, a_2, ... , a_k=1) Sequences and Pseudoprimes", Congressus Numerantium, Proceedings of the 13th International Conference on Fibonacci Numbers and Their Applications, 201 (2010), 55-76.
C. Cooper, "Two Identities Involving Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 23 (2010), 21-26.
L. Somer and C. Cooper, "Lucas (a_1, a_2, ... , a_k = +/-1) Pseudoprimes", The Fibonacci Quarterly, 48.2 (2010), 98-113.
H. Chen and C. Cooper, "To Your Hearts' Content", The Mathematical Gazette, 94.531 (Nov. 2010), 467-473.
C. Cooper, "The k-Zeckendorf Array", Aportaciones Matematicas, Proceedings of the 14th International Conference on Fibonacci Numbers and Their Applications, 20 (2011), 79-90.
F. T. Howard and C. Cooper, Some Identities for r-Fibonacci Numbers", The Fibonacci Quarterly, 49.3 (2011), 231-242.
P. G. Anderson and C. Cooper, Every Positive k-bonacci Sequence Eventually Agrees with a Row of the k-Zeckendorf Array", The Fibonacci Quarterly, 49.4 (2011), 303-309.
C. Cooper, Identities in the Spirit of Ramanujan's Amazing Identity, Annales Mathematicae et Informaticae, (to appear).

DVI Format

C. Cooper, "Application of a Generalized Fibonacci Sequence", The College Mathematics Journal, Vol. 15, No. 2 (Mar. 1984), 145-146.
R. E. Kennedy and C. Cooper, "On the Natural Density of the Niven Numbers", The College Mathematics Journal, Vol. 15, No. 4 (Sep. 1984), 309-312.
C. Cooper, "Trees and Tennis Rankings", The College Mathematics Journal, Vol. 17, No. 1 (Jan. 1986), 76-78.
C. Cooper, "Geometric Series and a Probability Problem", The American Mathematical Monthly, Vol. 93, No. 2 (Feb. 1986), 126-127.
R. E. Kennedy and C. Cooper, "Bach, 5465, and Upside-Down Numbers", The College Mathematics Journal, Vol. 18, No. 2 (Mar. 1987), 111-115.
C. Cooper and R. E. Kennedy, Chebyshev's Inequality and Natural Density", The American Mathematical Monthly, Vol. 96, No. 2 (Feb. 1989), 118-124.
R. E. Kennedy, C. Cooper, V. Drobot, and F. Hickling, "On the Natural Density of the Range of the Terminating Nines Function", International Journal of Mathematics and Mathematical Sciences, 12 (1989), 805-808.
C. Cooper and R. E. Kennedy, "A Generating Function for the Distribution of the Scores of all Possible Bowling Games", Mathematics Magazine, Vol. 63, No. 4 (Oct. 1990), 239-243.
R. E. Kennedy and C. Cooper, "Tau Numbers, Natural Density, and Hardy and Wright's Theorem 437", International Journal of Mathematics and Mathematical Sciences, 13 (1990), 383-386.
R. E. Kennedy and C. Cooper, "The Statistics of the Smallest Space on a Lottery Ticket", The Fibonacci Quarterly, 29 (1991), 367-370.
C. Cooper and R. E. Kennedy, "Patterns, Automata, and Stirling Numbers of the Second Kind", Mathematics and Computer Education Journal, 26 (1992), 120-124.
M. Saadatmanesh, R. E. Kennedy, and C. Cooper, "Super Niven Numbers", Mathematics in College, Fall-Winter 1992, 21-30.
R. E. Kennedy and C. Cooper, "Variations on a Five-by-Five Seating Rearrangement Problem", Mathematics in College, Fall-Winter 1993, 59-67.
C. Cooper and R. E. Kennedy, "On the Number of Occurrences of the Digit 1 in the Sequence of Positive Integers Less Than n", Journal of Institute of Mathematics and Computer Science, 7 (1994), 121-127.
S. Orr and C. Cooper, "A Compact Strategy for Numerical Tic-Tac-Toe," Journal of Recreational Mathematics, 27 (1995), 161-171.
C. Cooper and R. E. Kennedy, "Proof of a Result by Jarden by Generalizing a Proof by Carlitz", The Fibonacci Quarterly, 33 (1995), 304-310.
T. Otake, R. E. Kennedy, and C. Cooper, "On a Seating Rearrangement Problem", Mathematics and Informatics Quarterly, 6 (1996), 63-71.
C. Cooper and R. E. Kennedy, "On the Set of Positive Integers Which are Relatively Prime to Their Digital Sum and its Complement", Journal of Institute of Mathematics & Computer Sciences, 10 (1997), 173-180.
C. Cooper, R. E. Kennedy, and M. Renberg, "On Certain Sums of Functions of Base b Expansions", The Fibonacci Quarterly, 36 (1998), 407-415.
C. Cooper and R. E. Kennedy, "An Explicit Expression for Large Digit Sums in Base B Expansions", Journal of Institute of Mathematics & Computer Sciences, 11 (1998), 25-32.
C. Cooper and R. E. Kennedy, "On Conway's RATS", Mathematics in College, (1998), 28-35.
C. Cooper and R. E. Kennedy, "A Generalization of a Result by Trollope on Digital Sums", Journal of Institute of Mathematics & Computer Sciences, 12 (1999), 17-22.
C. Cooper and R. E. Kennedy, "Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles", Applications of Fibonacci Numbers, Volume 8, 83-93.
R. S. Melham and C. Cooper, "The Eigenvectors of a Certain Matrix of Binomial Coefficients", The Fibonacci Quarterly, 38.2 (2000), 123-126.
S. Shattuck and C. Cooper, "Divergent RATS Sequences", The Fibonacci Quarterly, 39.2 (2001), 101-106.
C. Cooper and R. E. Kennedy, "Finding Moments of the Large Digit Function Using Delange's Method", Journal of Institute of Mathematics & Computer Sciences, 13 (2000), 35-41.
C. Cooper and R. E. Kennedy, "The First Moment of the Number of 1's Function in the Beta-Expansion of the Positive Integers", Journal of Institute of Mathematics & Computer Sciences, 14 (2001), 69-77.
R. E. Kennedy and C. Cooper, "A Generalization of a Result by Narkiewicz Concerning Large Digits of Powers", Univ. Beograd. Publ. Elektrotehn. Fak., 11 (2000), 36-40.
M. Wiemann and C. Cooper, "Divisibility of an F-L Type Convolution", Applications of Fibonacci Numbers, Volume 9, 267-287, 2004.
C. Cooper and M. Parihar, "On Primes in the Fibonacci and Lucas Sequences", Journal of Institute of Mathematics & Computer Sciences, 15 (2002), 115-121.
C. Cooper, "Bounds on the Number of Large Digits in the Positive Integers Not Exceeding n", Journal of Institute of Mathematics & Computer Sciences, 16 (2003), 13-21.
C. Cooper, "Bounds on a Remainder Term Associated with the Number of Base q Digits >= d Function", Journal of Institute of Mathematics & Computer Sciences, 17 (2004), 233-242.
A. Tinsley and C. Cooper, "Missouri Collegiate Mathematics Competition", FOCUS, 25.6 (August/September 2005), 42-43.
A. Ray and C. Cooper, "On the Natural Density of the k-Zeckendorf Niven Numbers", Journal of Institute of Mathematics & Computer Sciences, 19 (2006), 83-98.
C. Cooper, "An Identity for Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 20 (2007), 1-8.
H. Chen and C. Cooper, "n-Card Tricks", College Mathematics Journal, 40 (2009), 196-201.
C. Cooper, "An Identity for Period k Second Order Linear Recurrence Systems", Congressus Numerantium, Proceedings of the 12th International Conference on Fibonacci Numbers and Their Applications, 200 (2010), 95-106.
C. Cooper and L. Somer, "Lucas (a_1, a_2, ... , a_k=1) Sequences and Pseudoprimes", Congressus Numerantium, Proceedings of the 13th International Conference on Fibonacci Numbers and Their Applications, 201 (2010), 55-76.
C. Cooper, "Two Identities Involving Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 23 (2010), 21-26.
L. Somer and C. Cooper, "Lucas (a_1, a_2, ... , a_k = +/-1) Pseudoprimes", The Fibonacci Quarterly, 48.2 (2010), 98-113.
H. Chen and C. Cooper, "To Your Hearts' Content", The Mathematical Gazette, 94.531 (Nov. 2010), 467-473.
C. Cooper, "The k-Zeckendorf Array", Aportaciones Matematicas, Proceedings of the 14th International Conference on Fibonacci Numbers and Their Applications, 20 (2011), 79-90.
F. T. Howard and C. Cooper, Some Identities for r-Fibonacci Numbers", The Fibonacci Quarterly, 49.3 (2011), 231-242.
P. G. Anderson and C. Cooper, Every Positive k-bonacci Sequence Eventually Agrees with a Row of the k-Zeckendorf Array", The Fibonacci Quarterly, 49.4 (2011), 303-309.
C. Cooper, Identities in the Spirit of Ramanujan's Amazing Identity, Annales Mathematicae et Informaticae, (to appear).

PDF Format

C. Cooper, "Application of a Generalized Fibonacci Sequence", The College Mathematics Journal, Vol. 15, No. 2 (Mar. 1984), 145-146.
R. E. Kennedy and C. Cooper, "On the Natural Density of the Niven Numbers", The College Mathematics Journal, Vol. 15, No. 4 (Sep. 1984), 309-312.
C. Cooper, "Trees and Tennis Rankings", The College Mathematics Journal, Vol. 17, No. 1 (Jan. 1986), 76-78.
C. Cooper, "Geometric Series and a Probability Problem", The American Mathematical Monthly, Vol. 93, No. 2 (Feb. 1986), 126-127.
R. E. Kennedy and C. Cooper, "Bach, 5465, and Upside-Down Numbers", The College Mathematics Journal, Vol. 18, No. 2 (Mar. 1987), 111-115.
C. Cooper and R. E. Kennedy, Chebyshev's Inequality and Natural Density", The American Mathematical Monthly, Vol. 96, No. 2 (Feb. 1989), 118-124.
R. E. Kennedy, C. Cooper, V. Drobot, and F. Hickling, "On the Natural Density of the Range of the Terminating Nines Function", International Journal of Mathematics and Mathematical Sciences, 12 (1989), 805-808.
C. Cooper and R. E. Kennedy, "A Generating Function for the Distribution of the Scores of all Possible Bowling Games", Mathematics Magazine, Vol. 63, No. 4 (Oct. 1990), 239-243.
R. E. Kennedy and C. Cooper, "Tau Numbers, Natural Density, and Hardy and Wright's Theorem 437", International Journal of Mathematics and Mathematical Sciences, 13 (1990), 383-386.
R. E. Kennedy and C. Cooper, "The Statistics of the Smallest Space on a Lottery Ticket", The Fibonacci Quarterly, 29 (1991), 367-370.
C. Cooper and R. E. Kennedy, "Patterns, Automata, and Stirling Numbers of the Second Kind", Mathematics and Computer Education Journal, 26 (1992), 120-124.
M. Saadatmanesh, R. E. Kennedy, and C. Cooper, "Super Niven Numbers", Mathematics in College, Fall-Winter 1992, 21-30.
R. E. Kennedy and C. Cooper, "Variations on a Five-by-Five Seating Rearrangement Problem", Mathematics in College, Fall-Winter 1993, 59-67.
C. Cooper and R. E. Kennedy, "On the Number of Occurrences of the Digit 1 in the Sequence of Positive Integers Less Than n", Journal of Institute of Mathematics and Computer Sciences, 7 (1994), 121-127.
S. Orr and C. Cooper, "A Compact Strategy for Numerical Tic-Tac-Toe", Journal of Recreational Mathematics, 27 (1995), 161-171.
C. Cooper and R. E. Kennedy, "Proof of a Result by Jarden by Generalizing a Proof by Carlitz", The Fibonacci Quarterly, 33 (1995), 304-310.
T. Otake, R. E. Kennedy, and C. Cooper, "On a Seating Rearrangement Problem", Mathematics and Informatics Quarterly, 6 (1996), 63-71.
C. Cooper and R. E. Kennedy, "On the Set of Positive Integers Which are Relatively Prime to Their Digital Sum and its Complement", Journal of Institute of Mathematics & Computer Sciences, 10 (1997), 173-180.
C. Cooper, R. E. Kennedy, and M. Renberg, "On Certain Sums of Functions of Base b Expansions", The Fibonacci Quarterly, 36 (1998), 407-415.
C. Cooper and R. E. Kennedy, "An Explicit Expression for Large Digit Sums in Base B Expansions", Journal of Institute of Mathematics & Computer Sciences, 11 (1998), 25-32.
C. Cooper and R. E. Kennedy, "On Conway's RATS", Mathematics in College, (1998), 28-35.
C. Cooper and R. E. Kennedy, "A Generalization of a Result by Trollope on Digital Sums", Journal of Institute of Mathematics & Computer Sciences, 12 (1999), 17-22.
C. Cooper and R. E. Kennedy, "Base 10 RATS Cycles and Arbitrarily Long Base 10 RATS Cycles", Applications of Fibonacci Numbers, Volume 8, 83-93.
R. S. Melham and C. Cooper, "The Eigenvectors of a Certain Matrix of Binomial Coefficients", The Fibonacci Quarterly, 38.2 (2000), 123-126.
S. Shattuck and C. Cooper, "Divergent RATS Sequences", The Fibonacci Quarterly, 39.2 (2001), 101-106.
C. Cooper and R. E. Kennedy, "Finding Moments of the Large Digit Function Using Delange's Method", Journal of Institute of Mathematics & Computer Sciences, 13 (2000), 35-41.
C. Cooper and R. E. Kennedy, The First Moment of the Numbers of 1's Function in the Beta-Expansion of the Positive Integers" , Journal of Institute of Mathematics & Computer Sciences, 14 (2001), 69-77.
R. E. Kennedy and C. Cooper, "A Generalization of a Result by Narkiewicz Concerning Large Digits of Powers", Univ. Beograd. Publ. Elektrotehn. Fak., 11 (2000), 36-40.
M. Wiemann and C. Cooper, "Divisibility of an F-L Type Convolution", Applications of Fibonacci Numbers, Volume 9, 267-287, 2004.
C. Cooper and M. Parihar, "On Primes in the Fibonacci and Lucas Sequences", Journal of Institute of Mathematics & Computer Sciences, 15 (2002) 115-121.
C. Cooper, "Bounds on the Number of Large Digits in the Positive Integers Not Exceeding n", Journal of Institute of Mathematics & Computer Sciences, 16 (2003), 13-21.
C. Cooper, "Bounds on a Remainder Term Associated with the Number of Base q Digits >= d Function", Journal of Institute of Mathematics & Computer Sciences, 17 (2004), 233-242.
A. Tinsley and C. Cooper, "Missouri Collegiate Mathematics Competition", FOCUS, 25.6 (August/September 2005), 42-43.
A. Ray and C. Cooper, "On the Natural Density of the k-Zeckendorf Niven Numbers", Journal of Institute of Mathematics & Computer Sciences, 19 (2006), 83-98.
C. Cooper, "An Identity for Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 20 (2007), 1-8.
H. Chen and C. Cooper, "n-Card Tricks", College Mathematics Journal, 40 (2009), 196-201.
C. Cooper, "An Identity for Period k Second Order Linear Recurrence Systems", Congressus Numerantium, Proceedings of the 12th International Conference on Fibonacci Numbers and Their Applications, 200 (2010), 95-106.
C. Cooper and L. Somer, "Lucas (a_1, a_2, ... , a_k=1) Sequences and Pseudoprimes", Congressus Numerantium, Proceedings of the 13th International Conference on Fibonacci Numbers and Their Applications, 201 (2010), 55-76.
C. Cooper, "Two Identities Involving Generalized Fibonacci Numbers", Journal of Institute of Mathematics & Computer Sciences, 23 (2010), 21-26.
L. Somer and C. Cooper, "Lucas (a_1, a_2, ... , a_k = +/-1) Pseudoprimes", The Fibonacci Quarterly, 48.2 (2010), 98-113.
H. Chen and C. Cooper, "To Your Hearts' Content", The Mathematical Gazette, 94.531 (Nov. 2010), 467-473.
C. Cooper, "The k-Zeckendorf Array", Aportaciones Matematicas, Proceedings of the 14th International Conference on Fibonacci Numbers and Their Applications, 20 (2011), 79-90.
F. T. Howard and C. Cooper, Some Identities for r-Fibonacci Numbers", The Fibonacci Quarterly, 49.3 (2011), 231-242..
P. G. Anderson and C. Cooper, Every Positive k-bonacci Sequence Eventually Agrees with a Row of the k-Zeckendorf Array", The Fibonacci Quarterly, 49.4 (2011), 303-309.
C. Cooper, Identities in the Spirit of Ramanujan's Amazing Identity, Annales Mathematicae et Informaticae, (to appear).

Other Material

Index to Hardy and Wright's Number Theory Book