"Examples of mock modular forms"의 두 판 사이의 차이
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| 13번째 줄: | 13번째 줄: | ||
* [http://dx.doi.org/10.1016/0001-8708%2889%2990070-4 Ramanujan's “Lost” Notebook VI: The mock theta conjectures]<br> | * [http://dx.doi.org/10.1016/0001-8708%2889%2990070-4 Ramanujan's “Lost” Notebook VI: The mock theta conjectures]<br> | ||
** George E. Andrews and F. G. Garvan | ** George E. Andrews and F. G. Garvan | ||
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* <cite class="" id="CITEREFHickerson1988" style="font-style: normal;">Hickerson, Dean (1988), "A proof of the mock theta conjectures", <em>[http://en.wikipedia.org/wiki/Inventiones_Mathematicae Inventiones Mathematicae]</em>'''94''' (3): 639–660, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1007%2FBF01394279 10.1007/BF01394279], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=969247 969247], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0020-9910 0020-9910]</cite> | * <cite class="" id="CITEREFHickerson1988" style="font-style: normal;">Hickerson, Dean (1988), "A proof of the mock theta conjectures", <em>[http://en.wikipedia.org/wiki/Inventiones_Mathematicae Inventiones Mathematicae]</em>'''94''' (3): 639–660, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1007%2FBF01394279 10.1007/BF01394279], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=969247 969247], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0020-9910 0020-9910]</cite> | ||
| − | * <cite class="" id="CITEREFHickerson1988" style="font-style: normal;"> | + | * <cite class="" id="CITEREFHickerson1988" style="font-style: normal;"><br>[http://worldcat.org/issn/0020-9910 ]</cite> |
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| − | + | <h5>order 3</h5> | |
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| 29번째 줄: | 27번째 줄: | ||
* [http://www.springerlink.com/content/l5444w8085367833/?p=220d154603944b58b52d6566cbcbe9c3&pi=16 Modular Transformations of Ramanujan's Fifth and Seventh Order Mock Theta Functions]<br> | * [http://www.springerlink.com/content/l5444w8085367833/?p=220d154603944b58b52d6566cbcbe9c3&pi=16 Modular Transformations of Ramanujan's Fifth and Seventh Order Mock Theta Functions]<br> | ||
** Basil Gordon and Richard J. Mcintosh | ** Basil Gordon and Richard J. Mcintosh | ||
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| + | <h5>order 7</h5> | ||
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| + | * <cite class="" id="CITEREFHickerson1988" style="font-style: normal;">Hickerson, Dean (1988), "On the seventh order mock theta functions", <em>[http://en.wikipedia.org/wiki/Inventiones_Mathematicae Inventiones Mathematicae]</em>'''94''' (3): 661–677, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1007%2FBF01394280 10.1007/BF01394280], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=969247 969247], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0020-9910 0020-9910]</cite> | ||
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| + | <h5>order 10</h5> | ||
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| + | * <cite class="" id="CITEREFChoi1999" style="font-style: normal;">Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", <em>[http://en.wikipedia.org/wiki/Inventiones_Mathematicae Inventiones Mathematicae]</em>'''136''' (3): 497–569, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1007%2Fs002220050318 10.1007/s002220050318], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=1695205 1695205], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0020-9910 0020-9910]</cite> | ||
| + | * <cite class="" id="CITEREFChoi2000" style="font-style: normal;">Choi, Youn-Seo (2000), "Tenth order mock theta functions in Ramanujan's lost notebook. II", <em>Advances in Mathematics</em>'''156''' (2): 180–285, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1006%2Faima.2000.1948 10.1006/aima.2000.1948], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=1808245 1808245], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0001-8708 0001-8708]</cite> | ||
| + | * <cite class="" id="CITEREFChoi2002" style="font-style: normal;">Choi, Youn-Seo (2002), "[http://www.jstor.org/stable/2693766 Tenth order mock theta functions in Ramanujan's lost notebook. IV]", <em>[http://en.wikipedia.org/wiki/Transactions_of_the_American_Mathematical_Society Transactions of the American Mathematical Society]</em>'''354''' (2): 705–733, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1090%2FS0002-9947-01-02861-6 10.1090/S0002-9947-01-02861-6], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=1862564 1862564], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0002-9947 0002-9947], http://www.jstor.org/stable/2693766</cite> | ||
| + | * <cite class="" id="CITEREFChoi2007" style="font-style: normal;">Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", <em>Proceedings of the London Mathematical Society. Third Series</em>'''94''' (1): 26–52, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1112%2Fplms%2Fpdl006 10.1112/plms/pdl006], [http://en.wikipedia.org/wiki/Mathematical_Reviews MR][http://www.ams.org/mathscinet-getitem?mr=2293464 2293464], [http://en.wikipedia.org/wiki/International_Standard_Serial_Number ISSN][http://worldcat.org/issn/0024-6115 0024-6115]</cite> | ||
| 82번째 줄: | 97번째 줄: | ||
<h5>관련된 다른 주제들</h5> | <h5>관련된 다른 주제들</h5> | ||
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| 88번째 줄: | 103번째 줄: | ||
<h5>표준적인 도서 및 추천도서</h5> | <h5>표준적인 도서 및 추천도서</h5> | ||
| + | * [http://gigapedia.com/items:links?id=38285 Ramanujan's Lost Notebook: Part I] | ||
| + | * [http://gigapedia.com/items:links?id=294608 Ramanujan's Lost Notebook: Part II] | ||
* [[2009년 books and articles|찾아볼 수학책]] | * [[2009년 books and articles|찾아볼 수학책]] | ||
* http://gigapedia.info/1/Polyogarithms | * http://gigapedia.info/1/Polyogarithms | ||
2009년 5월 18일 (월) 14:38 판
Examples
classify which examples are of which use
mock theta conjectures
- Watson, G. N. (1936), "The Final Problem : An Account of the Mock Theta Functions", J. London Math. Soc.11: 55–80, doi:10.1112/jlms/s1-11.1.55
- Watson, G. N. (1937), "The Mock Theta Functions (2)", Proc. London Math. Soc.s2-42: 274–304, doi:10.1112/plms/s2-42.1.274
- Ramanujan's “Lost” Notebook VI: The mock theta conjectures
- George E. Andrews and F. G. Garvan
- Hickerson, Dean (1988), "A proof of the mock theta conjectures", Inventiones Mathematicae94 (3): 639–660, doi:10.1007/BF01394279, MR969247, ISSN0020-9910
[1]
order 3
order 5
- Andrews, George E. (1988), "Ramanujan's fifth order mock theta functions as constant terms", Ramanujan revisited (Urbana-Champaign, Ill., 1987),
- Modular Transformations of Ramanujan's Fifth and Seventh Order Mock Theta Functions
- Basil Gordon and Richard J. Mcintosh
order 7
- Hickerson, Dean (1988), "On the seventh order mock theta functions", Inventiones Mathematicae94 (3): 661–677, doi:10.1007/BF01394280, MR969247, ISSN0020-9910
order 10
- Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae136 (3): 497–569, doi:10.1007/s002220050318, MR1695205, ISSN0020-9910
- Choi, Youn-Seo (2000), "Tenth order mock theta functions in Ramanujan's lost notebook. II", Advances in Mathematics156 (2): 180–285, doi:10.1006/aima.2000.1948, MR1808245, ISSN0001-8708
- Choi, Youn-Seo (2002), "Tenth order mock theta functions in Ramanujan's lost notebook. IV", Transactions of the American Mathematical Society354 (2): 705–733, doi:10.1090/S0002-9947-01-02861-6, MR1862564, ISSN0002-9947, http://www.jstor.org/stable/2693766
- Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", Proceedings of the London Mathematical Society. Third Series94 (1): 26–52, doi:10.1112/plms/pdl006, MR2293464, ISSN0024-6115
간단한 소개
하위주제들
하위페이지
재미있는 사실
관련된 단원
많이 나오는 질문
관련된 고교수학 또는 대학수학
관련된 다른 주제들
표준적인 도서 및 추천도서
- Ramanujan's Lost Notebook: Part I
- Ramanujan's Lost Notebook: Part II
- 찾아볼 수학책
- http://gigapedia.info/1/Polyogarithms
- http://gigapedia.info/1/ramanujan
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
참고할만한 자료
- http://www.zentralblatt-math.org/zmath/en/
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Mock_modular_form
- http://viswiki.com/en/
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- 다음백과사전 http://enc.daum.net/dic100/search.do?q=
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