{"title":"Analytic Number Theory and Algebraic Asymptotic Analysis","authors":"Elliott Jesse","doi":"10.1142/13521","DOIUrl":"https://doi.org/10.1142/13521","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"103 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121817759","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytic Methods in Number Theory","authors":"W. Zudilin","doi":"10.1142/13498","DOIUrl":"https://doi.org/10.1142/13498","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"163 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133844239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.1142/9789811246890_0002
{"title":"Cotangent Sums Related to the Estermann Zeta Function and to the Riemann Hypothesis","authors":"","doi":"10.1142/9789811246890_0002","DOIUrl":"https://doi.org/10.1142/9789811246890_0002","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114847022","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2022-01-01DOI: 10.1142/9789811246890_0001
{"title":"Ramanujan Sums: A Survey of Recent Results","authors":"","doi":"10.1142/9789811246890_0001","DOIUrl":"https://doi.org/10.1142/9789811246890_0001","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"116 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121476259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_0013
{"title":"Calabi–Yau Varieties","authors":"","doi":"10.1142/9789811238680_0013","DOIUrl":"https://doi.org/10.1142/9789811238680_0013","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130912554","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_fmatter
{"title":"FRONT MATTER","authors":"","doi":"10.1142/9789811238680_fmatter","DOIUrl":"https://doi.org/10.1142/9789811238680_fmatter","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"218 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131432223","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_0003
{"title":"Enhanced Schemes","authors":"","doi":"10.1142/9789811238680_0003","DOIUrl":"https://doi.org/10.1142/9789811238680_0003","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122790112","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_0011
Yifeng Huang
The first three chapters are written as a course project for MATH 632: Algebraic Geometry II, taught by Dr. Tyler Foster in Winter 2016 in University of Michigan. The fourth chapter is a course project for MATH 731: Abelian Varieties, taught by Prof. Bhargav Bhatt in Fall 2017 in Michigan.
{"title":"Abelian Varieties","authors":"Yifeng Huang","doi":"10.1142/9789811238680_0011","DOIUrl":"https://doi.org/10.1142/9789811238680_0011","url":null,"abstract":"The first three chapters are written as a course project for MATH 632: Algebraic Geometry II, taught by Dr. Tyler Foster in Winter 2016 in University of Michigan. The fourth chapter is a course project for MATH 731: Abelian Varieties, taught by Prof. Bhargav Bhatt in Fall 2017 in Michigan.","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"18 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134063192","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_0004
{"title":"Topology and Periods","authors":"","doi":"10.1142/9789811238680_0004","DOIUrl":"https://doi.org/10.1142/9789811238680_0004","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123250695","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2021-10-20DOI: 10.1142/9789811238680_0006
{"title":"Modular Foliations","authors":"","doi":"10.1142/9789811238680_0006","DOIUrl":"https://doi.org/10.1142/9789811238680_0006","url":null,"abstract":"","PeriodicalId":339674,"journal":{"name":"Monographs in Number Theory","volume":"41 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120979396","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}