Solutions to all the items below

Proposals

updated 16.05.2024


Problem  10890, Amer. Math. Monthly 108 (2001), 668.
solution: Amer. Math. Monthly  110 (2003), 62-63.
Problem  10991, Amer. Math. Monthly 110 (2003), 155. solution: Amer. Math. Monthly  111 (2004), 826-827.
Problem  11136, Amer. Math. Monthly 112 (2005), 181.
solution: Amer. Math. Monthly  113 (2006), 763-764.
Problem  11147, Amer. Math. Monthly 112 (2005), 366.
(with P. Gorkin)
solution: Amer. Math. Monthly  113 (2006), 854.
Problem  11185, Amer. Math. Monthly 112 (2005), 840.
(with R. Brueck)
solution: Amer. Math. Monthly  114 (2007), 552-554.
Problem  11456, Amer. Math. Monthly 116 (2009), 747.
solution: Amer. Math. Monthly  118 (2011), 185.
Aufgabe 1281,     Elemente der Mathematik 65  (2010), 127.
solution: Elemente der Mathematik  66 (2011), 133-134.
Problem  11584Amer. Math. Monthly 118 (2011), 558.
(with J. Noel)
solution: Amer. Math. Monthly  120 (2013), 661-662.
Problem  11684Amer. Math. Monthly  120 (2013),  76.
(with R. Rupp)
solution: Amer. Math. Monthly 122 (2015), 80-81.
Problem 1947,      Math. Magazine 87 (2014), 230.
(with. J. Noel)
solution: Math. Magazine 88 (2015), 288.
Aufgabe 1350,      Elemente der Mathematik 71 (2016), 84 solution:  Elemente der Mathematik 72 (2017), 84-85.
Quicky   1075        Math. Magazine 90 (2017), 384
solution:  Math. Magazine 90 (2017), 393
Aufgabe  1383      Elemente der Mathematik 74 (2019), 38
(with R. Rupp)
solution:  Elemente der Mathematik 75 (2020), 38-41.
Aufgabe  1431      Elemente der Mathematik 78 (2023), 44
(with R. Rupp)
solution:  Elemente der Mathematik 79 (2024),39-42
Problem  12406      Amer. Math. Monthly 130 (2023), 679
(with R. Rupp)
solution:  Amer. Math. Monthly ,
Aufgabe  1438      Elemente der Mathematik 78 (2023), 135
(with R. Rupp)
solution:  Elemente der Mathematik ,
Problem  2181      Math. Magazine 96 (2023), 566
(with P. Pflug and R. Rupp)
solution:  Math. Mag. ,
Aufgabe  1443      Elemente der Mathematik 79 (2024), 38
solution:  Elemente der Mathematik ,
Quicky  1140      Math. Magazine 97 (2024), 224
(with R. Rupp)
solution:  Math. Magazine 97 (2024), 233



Published solutions of Exercises




Aufgabe 901, Elemente Math. 38 (1983), 128.
solution: Elemente Math.  39 (1984), 130-132.
Problem E 3325, Amer. Math. Monthly  96 (1989), 445.
solution: Amer. Math. Monthly  97 (1990), 855-856.
Aufgabe  Q68, EMS Newsletter  23 (1997), 21.
solution: EMS Newsletter  25 (1997), 27.
Problem  11684  Amer. Math. Monthly  120 (2013),  76.
solution: Amer. Math. Monthly 122 (2015), 80-81 (with R. Rupp).
Problem  4816  Crux  49 (2023),  101.
solution: Crux 49 (2023), 392-393 (with R. Rupp).
Problem  12290  Amer. Math. Monthly  128 (2021),  946.
solution: Amer. Math. Monthly 130 (2023), 774 (with R. Rupp).
Problem 4835,  Crux Mathematicorum 49 (2023), 213.
solution: Crux Mathematicorum 49 (2023), 502-503 (with R. Rupp)
Problem  12308,  Amer. Math. Monthly  129 (2022), 285.
solution: Amer. Math. Monthly 131 (2024), 77-78    



submitted solutions



Problem E 3329, Amer. Math. Monthly   96 (1989), 446.
solution: Amer. Math. Monthly  98 (1991), 267-268.
Problem 6654, Amer. Math. Monthly   98 (1991), 273.
solution: Amer. Math. Monthly  99 (1992), 686.
Problem 6648, Amer. Math. Monthly   98 (1991), 63.
solution: Amer. Math. Monthly  99 (1992), 876.
Problem  10588/10595, Amer. Math. Monthly  104 (1997), 456.
solution: Amer. Math. Monthly 105 (1998), 376.
Problem  10605 , Amer. Math. Monthly 104 (1997), 567.
solution: Amer. Math. Monthly 106 (1999), 173-174.
Problem  10624, Amer. Math. Monthly  104 (1997), 871.
solution: Amer. Math. Monthly 106 (1999), 271.
Problem  10638, Amer. Math. Monthly  105 (1998), 69.
solution: Amer. Math. Monthly 106 (1999), 591-592.
Problem  10651, Amer. Math. Monthly  105, (1998),  271.
solution: Amer. Math. Monthly  106 (1999), 782.
Problem  10697, Amer. Math. Monthly  105, (1998), 955.
solution: Amer. Math. Monthly  107 (2000), 283-284.
Problem  10739, Amer. Math. Monthly  106, (1999), 586.
solution: Amer. Math. Monthly  107 (2000), 757.
Problem  10747, Amer. Math. Monthly  106, (1999), 685.
solution: Amer. Math. Monthly  107 (2000), 757-758.
Problem  10768, Amer. Math. Monthly  106, (1999), 963.
solution: Amer. Math. Monthly  108 (2001), 82.
Problem  10854, Amer. Math. Monthly  108 (2001), 171.
solution: Amer. Math. Monthly  111 (2004), 725-726.
Problem  10857a, Amer. Math. Monthly 108 (2001), 172.
solution: Amer. Math. Monthly  109 (2002), 573.
Problem  11070, Amer. Math. Monthly   111 (2004), 259.
solution: Amer. Math. Monthly   113 (2006), 83-84.
Problem  11202, Amer. Math. Monthly   113 (2006), 179. solution: Amer. Math. Monthly   114 (2007), 171.
Problem  11210, Amer. Math. Monthly   113 (2006), 267.
solution: Amer. Math. Monthly   114 (2007), 749.
Problem  11226, Amer. Math. Monthly   113 (2006), 460. solution: Amer. Math. Monthly   115 (2008), 76.
Problem  11333, Amer. Math. Monthly   114 (2007), 926.
solution: Amer. Math. Monthly   116 (2009), 847.
Problem  11402, Amer. Math. Monthly   115 (2008), 949.
solution: Amer. Math. Monthly   117 (2010), 563-564.
Problem  11548, Amer. Math. Monthly   118 (2011), 85.
(with J. Noel)

solution: Amer. Math. Monthly   119 (2012), 612-613.
Problem  11578, Amer. Math. Monthly   118 (2011), 464. solution: Amer. Math. Monthly    120 (2013), 177-178.
Problem  11639,  Amer. Math. Monthly  119 (2012), 345.
(with J. Noel)
solution: Amer. Math. Monthly    121 (2014), 173-174.
Problem  11935,  Amer. Math. Monthly  123 (2016), 832.
solution: Amer. Math. Monthly    125 (2018), 570.
Problem  12256,  Amer. Math. Monthly  128 (2021), 478.
(with R. Rupp)
solution: Amer. Math. Monthly    130 (2023), 289-290.
Problem  12288,  Amer. Math. Monthly  128 (2021), 946.
(with R. Rupp)
solution: Amer. Math. Monthly 130 (2023), 687-688   
Problem  12326,  Amer. Math. Monthly  129 (2022), 487.
(with P. Pflug, A. Sasane)
solution: Amer. Math. Monthly   
Problem  12312,  Amer. Math. Monthly  129 (2022), 286.
(with G. Herzog)
solution: Amer. Math. Monthly   
Problem  12338,  Amer. Math. Monthly  129 (2022), 686.
(with R.Rupp)
solution: Amer. Math. Monthly   
Problem  12340,  Amer. Math. Monthly  129 (2022), 686.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12347,  Amer. Math. Monthly  129 (2022), 786.

solution: Amer. Math. Monthly   
Problem  12362,  Amer. Math. Monthly  129 (2022), 986.

solution: Amer. Math. Monthly   
Problem  12375,  Amer. Math. Monthly  130 (2023) 188.

solution: Amer. Math. Monthly   
Problem  12372,  Amer. Math. Monthly  130 (2023), 187.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12380,  Amer. Math. Monthly  130 (2023), 285.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12388,  Amer. Math. Monthly  130 (2023), 385.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12389,  Amer. Math. Monthly  130 (2023), 386.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12398,  Amer. Math. Monthly  130 (2023), 587.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12407,  Amer. Math. Monthly  130 (2023), 679.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12415,  Amer. Math. Monthly  130 (2023), 765.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12422,  Amer. Math. Monthly  130 (2023), 862.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12433,  Amer. Math. Monthly  131 (2024), 76.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12436,  Amer. Math. Monthly  131 (2024), 76.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12451,  Amer. Math. Monthly  131 (2024), ??.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12459,  Amer. Math. Monthly  131 (2024), 384.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12460,  Amer. Math. Monthly  131 (2024), 384.
(with R. Rupp)
solution: Amer. Math. Monthly   
Problem  12470,  Amer. Math. Monthly  131 (2024), ??.
(with R. Rupp)
solution: Amer. Math. Monthly   





Problem 1860,   Math. Mag. 83 (2010), 392.
solution:  Math. Mag. 84 (2011),  392.
Problem 1863,   Math. Mag. 84 (2011), 64. solution:  Math. Mag. 85 (2012),  65-66.
Problem 1867,   Math. Mag. 84 (2011), 150.
solution:  Math. Mag. 85 (2012),  152-154.
Problem 1871,   Math. Mag. 84 (2011), 229.
solution:  Math. Mag. 85 (2012),  230-231.
Problem  2116,  Math. Mag.  94 (2021), 150.
(with R. Rupp)
solution: Math. Mag. 95 (2022),158-159    
Problem  2117,  Math. Mag.  94 (2021), 150.
(with R. Rupp and A.Sasane)
solution: Math. Mag. 95 (2022),160    
Problem  2118,  Math. Mag.  94 (2021), 150.
solution: Math. Mag. 95 (2022),160-161    
Problem  2128,  Math. Mag.  94 (2021), 308.
solution: Math. Mag 95 (2022), 409-410    
Problem  2141,  Math. Mag.  95 (2022), 157.
(with R. Rupp)
solution: Math. Mag 96 (2023), 192-193    
Problem  2147,  Math. Mag.  95 (2022), 242.
(with R. Rupp)
solution: Math. Mag 96 (2023), 363-365    
Problem  2167,  Math. Mag.  96 (2023), 190.
(with R. Rupp)
solution: Math. Mag    
Problem  2171,  Math. Mag.  96 (2023), 359.
(with R. Rupp)
solution: Math. Mag    
Problem  2176,  Math. Mag.  96 (2023), 468.
(with R. Rupp)
solution: Math. Mag    
Problem  2185,  Math. Mag.  96 (2023),567.
(with R. Rupp)
solution: Math. Mag    
Problem  2184,  Math. Mag.  96 (2023), 567.
(with P.Pflug and R. Rupp)
solution: Math. Mag    
Problem  2186,  Math. Mag.  97 (2024), 81.
(with R. Rupp)
solution: Math. Mag    
Problem  2187,  Math. Mag.  97 (2024), 81.
(with R. Rupp)
solution: Math. Mag    
Problem  2193,  Math. Mag.  97 (2024), 223.
(with R. Rupp)
solution: Math. Mag    





Problem 4615,  Crux Mathematicorum 47 (2021), 97.
(with R. Rupp)
solution: Crux Mathematicorum 47 (2021), 361.                             
Problem 4634,  Crux Mathematicorum 47 (2021), 200.
(with R. Rupp)
solution: Crux Mathematicorum 47 (2021), 460.
Problem 4636,  Crux Mathematicorum 47 (2021), 200.
(with R. Rupp)
solution: Crux Mathematicorum 47 (2021), 462.
Problem 4657,  Crux Mathematicorum 47 (2021), 301.
(with R. Rupp)
solution: Crux Mathematicorum 48 (2022), 51
Problem 4747,  Crux Mathematicorum 48 (2022), 282.
(with R. Rupp)
solution: Crux Mathematicorum 48 (2022), 646-647
Problem 4763*,  Crux Mathematicorum 48 (2022), 421.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 109.
Problem 4771,  Crux Mathematicorum 48 (2022), 483.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 161-162.
Problem 4772,  Crux Mathematicorum 48 (2022), 483.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 162.
Problem 4777*,  Crux Mathematicorum 48 (2022), 484.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 166-168.
Problem 4779*,  Crux Mathematicorum 48 (2022), 484.
solution: Crux Mathematicorum 49 (2023), 169-170.
Problem 4780,  Crux Mathematicorum 48 (2022), 484.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 170-172.
Problem 4801,  Crux Mathematicorum 49 (2023), 44.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 326-327.
Problem 4803*,  Crux Mathematicorum 49 (2023), 44.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 329
Problem 4805,  Crux Mathematicorum 49 (2023), 44.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 331.
Problem 4809,  Crux Mathematicorum 49 (2023), 45.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 334-335
Problem 4810,  Crux Mathematicorum 49 (2023), 45.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 325-326.
Problem 4811,  Crux Mathematicorum 49 (2023), 101.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 386
Problem 4817,  Crux Mathematicorum 49 (2023), 102.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 393-394.
Problem 4819,  Crux Mathematicorum 49 (2023), 102.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 395-396.
Problem 4822,  Crux Mathematicorum 49 (2023), 156.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 446-447.
Problem 4825,  Crux Mathematicorum 49 (2023), 157.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 449-451.
Problem 4826,  Crux Mathematicorum 49 (2023), 157.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 452.
Problem 4828,  Crux Mathematicorum 49 (2023), 157.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 454-455.
Problem 4830,  Crux Mathematicorum 49 (2023), 158.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 457-458.
Problem 4836,  Crux Mathematicorum 49 (2023), 214.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 503-505
Problem 4844,  Crux Mathematicorum 49 (2023), 273.
(with R. Rupp)
solution: Crux Mathematicorum 49 (2023), 547
Problem 4850 (old),  Crux Mathematicorum 49 (2023), 274.
(with R. Rupp)
solution: Crux Mathematicorum ----
Problem 4854,  Crux Mathematicorum 49 (2023), 323.
(with R. Rupp)
solution: Crux Mathematicorum 50 (2024) 46-48.
Problem 4855,  Crux Mathematicorum 49 (2023), 323.
(with R. Rupp)
solution: Crux Mathematicorum 50 (2024), 48-49.
Problem 4857,  Crux Mathematicorum 49 (2023), 323.
solution: Crux Mathematicorum 50 (2024), 50.
Problem 4862,  Crux Mathematicorum 49 (2023), 375.
(with R. Rupp)
solution: Crux Mathematicorum 50 (2024), 88-90
Problem 4866,  Crux Mathematicorum 49 (2023), 376.
(with R. Rupp)
solution: Crux Mathematicorum 50 (2024), 93-94
Problem 4870,  Crux Mathematicorum 49 (2023), 377.
(with R. Rupp)
solution: Crux Mathematicorum 50 (2024), 101
Problem 4889,  Crux Mathematicorum 49 (2023), 491.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4893,  Crux Mathematicorum 49 (2023), 539.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4894,  Crux Mathematicorum 49 (2023), 539.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4896,  Crux Mathematicorum 49 (2023), 540.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4900,  Crux Mathematicorum 49 (2023), 541.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4903,  Crux Mathematicorum 50 (2024), 37.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4904,  Crux Mathematicorum 50 (2024), 37.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4905,  Crux Mathematicorum 50 (2024), 37.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4909,  Crux Mathematicorum 50 (2024), 38.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4910,  Crux Mathematicorum 50 (2024), 38.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4913,  Crux Mathematicorum 50 (2024), 82.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4914,  Crux Mathematicorum 50 (2024), 82.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4915,  Crux Mathematicorum 50 (2024), 82.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4918,  Crux Mathematicorum 50 (2024), 83.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4920,  Crux Mathematicorum 50 (2024), 84.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4924,  Crux Mathematicorum 50 (2024), 148.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4925,  Crux Mathematicorum 50 (2024), 148.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4929,  Crux Mathematicorum 50 (2024), 149.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4930,  Crux Mathematicorum 50 (2024), 149.
(with R. Rupp)
solution: Crux Mathematicorum
Problem 4937,  Crux Mathematicorum 50 (2024), 200.
(with R. Rupp)
solution: Crux Mathematicorum





Aufgabe 1339,  Elem. Math.  70 (2015), 82.
solution: Elem. Math. 71 (2016), 85-86.
Aufgabe 1428,  Elem. Math.  77 (2022), 196.
(with R. Rupp)
solution: Elem. Math. 78 (2023), 181-182.
Aufgabe 1434,  Elem. Math.  78 (2023), 85.
(with R. Rupp)
solution: Elem. Math.
Aufgabe 1435,  Elem. Math.  78 (2023), 85.
(with R. Rupp)
solution: Elem. Math.
Aufgabe 1437,  Elem. Math.  78 (2023), 135.
(with R. Rupp)
solution: Elem. Math.
Aufgabe 1441,  Elem. Math.  78 (2023), 180.
(with R. Rupp)
solution: Elem. Math.
Aufgabe 1442,  Elem. Math.  78 (2023), 180.
(with R. Rupp)
solution: Elem. Math.
Aufgabe 1447,  Elem. Math.  79 (2023), 84.
(with R. Rupp)
solution: Elem. Math.









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