11![Solutions to the 64th William Lowell Putnam Mathematical Competition Saturday, December 6, 2003 Manjul Bhargava, Kiran Kedlaya, and Lenny Ng A–1 There are n such sums. More precisely, there is exactly one such sum with Solutions to the 64th William Lowell Putnam Mathematical Competition Saturday, December 6, 2003 Manjul Bhargava, Kiran Kedlaya, and Lenny Ng A–1 There are n such sums. More precisely, there is exactly one such sum with](https://www.pdfsearch.io/img/0ae6ae333373119f86c2935437eb03da.jpg) | Add to Reading ListSource URL: kskedlaya.orgLanguage: English - Date: 2014-01-16 17:23:05
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12![The 71st William Lowell Putnam Mathematical Competition Saturday, December 4, 2010 A–1 Given a positive integer n, what is the largest k such that the numbers 1, 2, . . . , n can be put into k boxes so that the sum of The 71st William Lowell Putnam Mathematical Competition Saturday, December 4, 2010 A–1 Given a positive integer n, what is the largest k such that the numbers 1, 2, . . . , n can be put into k boxes so that the sum of](https://www.pdfsearch.io/img/e037138b1655d4dac7ef651d73b9ba83.jpg) | Add to Reading ListSource URL: kskedlaya.orgLanguage: English - Date: 2014-01-16 17:23:44
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13![Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 Kiran Kedlaya and Lenny Ng A–1 By differentiating Pn (x)/(xk − 1)n+1 , we find that Pn+1 (x) = (xk − 1)Pn0 (x) − (n Solutions to the 63rd William Lowell Putnam Mathematical Competition Saturday, December 7, 2002 Kiran Kedlaya and Lenny Ng A–1 By differentiating Pn (x)/(xk − 1)n+1 , we find that Pn+1 (x) = (xk − 1)Pn0 (x) − (n](https://www.pdfsearch.io/img/630bc605bb86763d1bca076e767e80e6.jpg) | Add to Reading ListSource URL: kskedlaya.orgLanguage: English - Date: 2014-01-16 17:23:03
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14![Solutions to the 74th William Lowell Putnam Mathematical Competition Saturday, December 7, 2013 Kiran Kedlaya and Lenny Ng A1 Suppose otherwise. Then each vertex v is a vertex for five faces, all of which have different Solutions to the 74th William Lowell Putnam Mathematical Competition Saturday, December 7, 2013 Kiran Kedlaya and Lenny Ng A1 Suppose otherwise. Then each vertex v is a vertex for five faces, all of which have different](https://www.pdfsearch.io/img/c31eafe856aa025a0ecdb39e37ad135d.jpg) | Add to Reading ListSource URL: kskedlaya.orgLanguage: English - Date: 2014-03-11 20:45:36
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15![Stanford “Putnam Post Mortem” Polya Seminar The 68th William Lowell Putnam Mathematical Competition Saturday, December 1, 2007 This file is based on the transcribed problems prepared by Kiran Kedlaya, and available a Stanford “Putnam Post Mortem” Polya Seminar The 68th William Lowell Putnam Mathematical Competition Saturday, December 1, 2007 This file is based on the transcribed problems prepared by Kiran Kedlaya, and available a](https://www.pdfsearch.io/img/cb5d1bab5d9e4de5e7c98571d7044a18.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2008-01-21 15:58:30
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16![THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION The seventy-third annual William Lowell Putnam Mathematical Competition will take place on Saturday, December 7, from 8 to 11 and from 1 to 4. Around 4000 students will THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION The seventy-third annual William Lowell Putnam Mathematical Competition will take place on Saturday, December 7, from 8 to 11 and from 1 to 4. Around 4000 students will](https://www.pdfsearch.io/img/1f5ec7d3ef12da878f9730113ad6c497.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2013-09-19 12:32:10
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17![THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION RAVI VAKIL The sixty-sixth annual William Lowell Putnam Mathematical Competition will take place on Saturday, December 1, from 8 to 11 and from 1 to 4. Around 4000 stude THE WILLIAM LOWELL PUTNAM MATHEMATICAL COMPETITION RAVI VAKIL The sixty-sixth annual William Lowell Putnam Mathematical Competition will take place on Saturday, December 1, from 8 to 11 and from 1 to 4. Around 4000 stude](https://www.pdfsearch.io/img/3ea398cbdaf134aadfd8fdc6a11c946a.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2007-10-01 22:58:37
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18![The William Lowell Putnam Mathematical Competition takes place Saturday, December 1, 2007. In 2006, Stanford placed sixth. Sign-up and Introductory Meeting The William Lowell Putnam Mathematical Competition takes place Saturday, December 1, 2007. In 2006, Stanford placed sixth. Sign-up and Introductory Meeting](https://www.pdfsearch.io/img/68bd3ad26670cf0c459701cb5307259b.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2007-09-26 12:04:42
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19![The William Lowell Putnam Mathematical Competition takes place Saturday, December 7, 2013. In 2012, the Stanford team placed twelfth. Sign-up and Introductory Meeting The William Lowell Putnam Mathematical Competition takes place Saturday, December 7, 2013. In 2012, the Stanford team placed twelfth. Sign-up and Introductory Meeting](https://www.pdfsearch.io/img/2fec9f7e34f0d9fbb33eac0568ed8fd1.jpg) | Add to Reading ListSource URL: math.stanford.edu- Date: 2013-09-19 12:02:54
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20![SOME REFERENCES ON PROBLEM-SOLVING version of July[removed]incomplete) • G. L. Alexanderson, L. F. Klosinski, and L. C. Larson, The William Lowell Putnam Mathematical Competition, Problems and Solutions: 1965–1984, Mat SOME REFERENCES ON PROBLEM-SOLVING version of July[removed]incomplete) • G. L. Alexanderson, L. F. Klosinski, and L. C. Larson, The William Lowell Putnam Mathematical Competition, Problems and Solutions: 1965–1984, Mat](https://www.pdfsearch.io/img/f5f23ebd1ae28d1bf872063e3b33ba1b.jpg) | Add to Reading ListSource URL: math.mit.eduLanguage: English - Date: 2013-02-20 21:07:09
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