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− | + | [http://www.ams.org/notices/200801/tx080100018p.pdf Your hit parade: The top ten most fascinating formulas from Ramanujan's Lost Notebook] | |
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− | + | George E. Andrews and Bruce C. Berndt<br> Notices Amer. Math. Soc., 55 (No. 1, Jan. 2008), 18-30 | |
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+ | |||
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+ | * [http://www.jstor.org/stable/2321943 An Introduction to Ramanujan's "lost" Notebook]<br> | ||
+ | ** George E. Andrews | ||
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 86, No. 2 (Feb., 1979), pp. 89-108 | ||
+ | * <br> | ||
+ | * [http://www.jstor.org/stable/2974472 Simplicity and Surprise in Ramanujan's "Lost" Notebook]<br> | ||
+ | ** George E. Andrews | ||
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 104, No. 10 (Dec., 1997), pp. 918-925 | ||
* [http://www.jstor.org/stable/2689995 Ramanujan's Notebooks]<br> | * [http://www.jstor.org/stable/2689995 Ramanujan's Notebooks]<br> | ||
− | ** Bruce C. Berndt | + | ** Bruce C. Berndt<br> |
− | ** <cite>Mathematics Magazine</cite>, Vol. 51, No. 3 (May, 1978), pp. 147-164 | + | ** <cite>Mathematics Magazine</cite>, Vol. 51, No. 3 (May, 1978), pp. 147-164<br> |
* [http://www.jstor.org/stable/2974471 Ramanujan, Taxicabs, Birthdates, ZIP Codes, and Twists]<br> | * [http://www.jstor.org/stable/2974471 Ramanujan, Taxicabs, Birthdates, ZIP Codes, and Twists]<br> | ||
− | ** Ken Ono | + | ** Ken Ono<br> |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. 104, No. 10 (Dec., 1997), pp. 912-917 | + | ** <cite>The American Mathematical Monthly</cite>, Vol. 104, No. 10 (Dec., 1997), pp. 912-917<br> |
* [http://www.jstor.org/stable/2323885 Ramanujan--For Lowbrows]<br> | * [http://www.jstor.org/stable/2323885 Ramanujan--For Lowbrows]<br> | ||
− | ** Bruce C. Berndt and S. Bhargava | + | ** Bruce C. Berndt and S. Bhargava<br> |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. 100, No. 7 (Aug. - Sep., 1993), pp. 644-656 | + | ** <cite>The American Mathematical Monthly</cite>, Vol. 100, No. 7 (Aug. - Sep., 1993), pp. 644-656<br> |
* [http://www.jstor.org/stable/2301659 The Indian Mathematician Ramanujan]<br> | * [http://www.jstor.org/stable/2301659 The Indian Mathematician Ramanujan]<br> | ||
− | ** G. H. Hardy | + | ** G. H. Hardy<br> |
− | ** <cite>The American Mathematical Monthly</cite>, Vol. 44, No. 3 (Mar., 1937), pp. 137-155 | + | ** <cite>The American Mathematical Monthly</cite>, Vol. 44, No. 3 (Mar., 1937), pp. 137-155<br> |
− | * | + | * [http://www.jstor.org/stable/2325145 A Motivated Proof of the Rogers-Ramanujan Identities]<br> |
− | + | ** George E. Andrews and R. J. Baxter | |
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 96, No. 5 (May, 1989), pp. 401-409 | ||
+ | |||
+ | * [http://www.jstor.org/stable/2311980 The Nonvanishing of Ramanujan's τ-Function]<br> | ||
+ | ** J. M. Gandhi | ||
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 68, No. 8 (Oct., 1961), pp. 757-760 | ||
+ | |||
+ | * [http://www.jstor.org/stable/2299066 The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan]<br> | ||
+ | ** Aubrey J. Kempner | ||
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 30, No. 7 (Nov., 1923), pp. 354-369 | ||
− | * | + | * [http://www.jstor.org/stable/2298749 The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan]<br> |
− | * <cite>The American Mathematical Monthly</cite>, Vol. | + | ** Aubrey J. Kempner |
+ | ** <cite>The American Mathematical Monthly</cite>, Vol. 30, No. 8 (Dec., 1923), pp. 416-425 |
2008년 10월 22일 (수) 15:09 판
Your hit parade: The top ten most fascinating formulas from Ramanujan's Lost Notebook
George E. Andrews and Bruce C. Berndt
Notices Amer. Math. Soc., 55 (No. 1, Jan. 2008), 18-30
- An Introduction to Ramanujan's "lost" Notebook
- George E. Andrews
- The American Mathematical Monthly, Vol. 86, No. 2 (Feb., 1979), pp. 89-108
-
- Simplicity and Surprise in Ramanujan's "Lost" Notebook
- George E. Andrews
- The American Mathematical Monthly, Vol. 104, No. 10 (Dec., 1997), pp. 918-925
- Ramanujan's Notebooks
- Bruce C. Berndt
- Mathematics Magazine, Vol. 51, No. 3 (May, 1978), pp. 147-164
- Bruce C. Berndt
- Ramanujan, Taxicabs, Birthdates, ZIP Codes, and Twists
- Ken Ono
- The American Mathematical Monthly, Vol. 104, No. 10 (Dec., 1997), pp. 912-917
- Ken Ono
- Ramanujan--For Lowbrows
- Bruce C. Berndt and S. Bhargava
- The American Mathematical Monthly, Vol. 100, No. 7 (Aug. - Sep., 1993), pp. 644-656
- Bruce C. Berndt and S. Bhargava
- The Indian Mathematician Ramanujan
- G. H. Hardy
- The American Mathematical Monthly, Vol. 44, No. 3 (Mar., 1937), pp. 137-155
- G. H. Hardy
- A Motivated Proof of the Rogers-Ramanujan Identities
- George E. Andrews and R. J. Baxter
- The American Mathematical Monthly, Vol. 96, No. 5 (May, 1989), pp. 401-409
- The Nonvanishing of Ramanujan's τ-Function
- J. M. Gandhi
- The American Mathematical Monthly, Vol. 68, No. 8 (Oct., 1961), pp. 757-760
- The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan
- Aubrey J. Kempner
- The American Mathematical Monthly, Vol. 30, No. 7 (Nov., 1923), pp. 354-369
- The Development of "Partitio Numerorum," with Particular Reference to the Work of Messrs. Hardy, Littlewood and Ramanujan
- Aubrey J. Kempner
- The American Mathematical Monthly, Vol. 30, No. 8 (Dec., 1923), pp. 416-425