"Examples of mock modular forms"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
4번째 줄: | 4번째 줄: | ||
classify which examples are of which use | classify which examples are of which use | ||
+ | |||
+ | |||
+ | |||
+ | <h5>mock theta conjectures</h5> | ||
+ | |||
+ | * [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 | ||
+ | * <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), "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> | ||
+ | * <cite class="" id="CITEREFWatson1936" style="font-style: normal;">Watson, G. N. (1936), "The Final Problem : An Account of the Mock Theta Functions", <em>J. London Math. Soc.</em>'''11''': 55–80, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1112%2Fjlms%2Fs1-11.1.55 10.1112/jlms/s1-11.1.55]</cite> | ||
+ | * <cite class="" id="CITEREFWatson1937" style="font-style: normal;">Watson, G. N. (1937), "The Mock Theta Functions (2)", <em>Proc. London Math. Soc.</em>'''s2-42''': 274–304, [http://en.wikipedia.org/wiki/Digital_object_identifier doi]:[http://dx.doi.org/10.1112%2Fplms%2Fs2-42.1.274 10.1112/plms/s2-42.1.274]</cite> | ||
+ | |||
+ | * <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> | ||
+ | |||
+ | |||
+ | |||
+ | <h5>order 5</h5> | ||
+ | |||
+ | * <cite class="" id="CITEREFAndrews1988" style="font-style: normal;">Andrews, George E. (1988), "Ramanujan's fifth order mock theta functions as constant terms", <em>Ramanujan revisited (Urbana-Champaign, Ill., 1987)</em>,</cite> | ||
2009년 5월 18일 (월) 14:22 판
Examples
classify which examples are of which use
mock theta conjectures
- 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
- Hickerson, Dean (1988), "On the seventh order mock theta functions", Inventiones Mathematicae94 (3): 661–677, doi:10.1007/BF01394280, MR969247, ISSN0020-9910
- 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
- 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
order 5
- Andrews, George E. (1988), "Ramanujan's fifth order mock theta functions as constant terms", Ramanujan revisited (Urbana-Champaign, Ill., 1987),
간단한 소개
하위주제들
하위페이지
재미있는 사실
관련된 단원
많이 나오는 질문
관련된 고교수학 또는 대학수학
관련된 다른 주제들
표준적인 도서 및 추천도서
- 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=
이미지 검색
동영상
관련기사
네이버 뉴스 검색 (키워드 수정)
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
- http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
블로그
- 구글 블로그 검색 http://blogsearch.google.com/blogsearch?q=
- 트렌비 블로그 검색 http://www.trenb.com/search.qst?q=