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American Mathematical Monthly Problems

Here a list of my published solutions to problems in the American Mathematical Monthly.

Problem E3353 [1989, 838]. A Transcendental Sum, proposed by H. G. Diamond. AMM 98 No. 3 (March 1991), 271-272.
Problem E3360 [1989, 928]. An Extremely Rapidly Converging Sequence, proposed by Steven Ratering. AMM 98 No. 5 (May 1991), 442.
Problem E3381 [1990, 243]. How to Produce a “Harmonic Convergence”, proposed by David Gurarie. AMM 99 No. 2 (February 1992), 165-166.
Problem 6641 [1990, 857]. Large Abelian Subgroups, proposed by Theodore M. Alper. AMM 99 No. 2 (February 1992), 177.
Problem 10209 [1992, 266]. Just Below the Graph of 1/(1-x), proposed by Feng Hanqiao and Siu-Ah Ng. AMM 100 No. 10 (December 1993), 956-957.
Problem 10307 [1993, 498]. Canonical Examples of Groups, proposed by John Calvin Williams and I. Martin Isaacs. AMM 103 No. 5 (May 1996), 429-430.
Problem 10456 [1995, 464]. Anticommuting Matrices, proposed by Daniel B. Shapiro. AMM 105 No. 6 (June – July 98), 565.
Problem 10464 [1995, 554]. A Determinant of Derivatives, proposed by Hillel Gauchman and Lee A. Rubel. AMM 105 No. 6 (June – July 98), 566.
Problem 10545 [1996, 695]. Counting Couples, proposed by Joaquín Gómez Rey. AMM 105 No. 9 (November 1998), 866-867
Problem 10564 [1997, 68]. Set with Fixed Nim-Sum, proposed by Aviezri Fraenkel. AMM 106 No. 1 (January 1999), 71-72.
Problem 10566 [1997, 68]. A Teleskoping Constraint, proposed by Gerry Myerson. AMM 106 No. 3 (March 1999), 265-266.
Problem 10773 [1999, 964]. Continued Fractions for Some Quadratic Surds, proposed by Jean Anglesio. AMM 109 No. 2 (February 2002), 202-203.
Problem 10786 [2000, 177]. A Zeta Function Series, proposed by Leroy Quet. AMM 108 No. 1 (January 2001), 84.
Problem 10833 [2000, 863]. A Divisibility Property of Factorials, proposed by Charles Vanden Eynden. AMM 110 No. 2 (February 2003), 158.
Problem 10847 [2000, 77]. On the Number of Divisors of n in a Special Interval, proposed by Robin Chapman, Kimmo Ericksson, and Richard P. Stanley. AMM 109 No. 1 (January 2002), 80.
Problem 10859 [2001, 271]. A Determinant of Indeterminates, proposed by Roland Bacher. AMM 111 No. 3 (March 2004), 260–261.
Problem 10913 [2001, 977]. Products of Transpositions, proposed by Donald E. Knuth. AMM 110 No. 9 (November 2003), 845.
Problem 10916 [2002, 77]. The Jug Problem with a Source and a Sink, proposed by Gertrude Ehrlich. AMM 110 No. 8 (October 2003), 746.
Problem 10920 [2002, 77]. Maximal Paths in Bipartite Graphs, proposed by André Kündgen and Radhika Ramamurthi. AMM 110 No. 8 (October 2003), 747.
Problem 11238 [2006, 655]. Sequences Built from the Golden Ratio, proposed by Aviezri S. Fraenkel. AMM 115 No. 7 (August – September 2008), 668.
Problem 11243 (b) [2006, 759]. Perfect Parity Patterns, proposed by Donald E. Knuth. AMM 115 No. 7 (August – September 2008), 670.
Problem 11446 [2009, 647]. Matrices Whose Products Are All Different, proposed by Christopher Hillar and Lionel Levine. AMM 118 No. 7 (August – September 2011), 656.
Problem 11704 [2013, 366]. Cycles in Products of Involutions, proposed by Olivier Bernardi, Thaynara Arielly de Lima, and Richard Stanley. AMM 122 No. 4 (April 2015), 397.
Problem 11726 [2013, 754]. Jointly Discontinuous Only on a Cantor Set, proposed by Stephen Scheinberg. AMM 122 No. 8 (October 2015), 804.
Problem 11754 [2014, 170]. Runs of Equal Parity, proposed by David Beckwith. AMM 123 No.3 (March 2016), 298.
Problem 11781 [2014, 456]. An Application of Prime Density, proposed by Roberto Tauraso. AMM 123 No.6 (June – July 2016), 615.

Listed under “also solved”: …, 10641, 10720, 10744, 10760, 10761, 10774, 10808, 10812, 10817, 10844, 10846, 10848, 10849, 10852, 10890, 10891, 10893, 10898, 10901, 10902, 10903, 10911, 10912, 10921, 10922, 10923, 10936, 10954, 11174, 11179, 11181, 11248, 11249, 11253, 11372, 11373, 11376, 11378, 11388, 11395, 11402, 11424, 11426, 11453, 11456, 11485, 11487, 11530, 11594, 11598, 11609, 11659, 11672, 11685, 11688, 11699, 11705, 11712, 11729, 11739, 11747, 11748, 11753, 11755, 11761, 11766, 11767, 11772, 11773, 11782, 11968, 11971, 11978, 11982, 11999, 12004 and a few more.