04577nam a22005415i 4500 978-3-031-51677-1 DE-He213 20251030112332.0 cr nn 008mamaa 240626s2024 sz | s |||| 0|eng d 9783031516771 978-3-031-51677-1 10.1007/978-3-031-51677-1 doi QA241-247.5 PBH bicssc MAT022000 bisacsh PBH thema Research Directions in Number Theory [electronic resource] : Women in Numbers V / edited by Alina Bucur, Wei Ho, Renate Scheidler. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XI, 318 p. 23 illus., 8 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Association for Women in Mathematics Series, 2364-5741 ; 33 From Fontaine-Mazur Conjecture to Analytic Pro-p-Groups: A Survey (Abdellatif) -- Orientations and Cycles in Supersingular Isogeny Graphs (Stange) -- Generalized Ramanujan-Sato Series Arising from Modular Forms (Swisher) -- Mock Theta Functions and Related Combinatorics (Ballantine) -- Transcendental Lattices of Certain Singular K3 Surfaces (Bertin) -- Power-Saving Error Terms for the Number of D4-Quartic Extensions over a Number Field Ordered by Discriminant (Lopez) -- Dynamical Mahler Measure: a Survey and Some Recent Results (Lalin) -- Geometric Decomposition of Abelian Varieties of Order 1 (Kedlaya) -- On Marko Type Surfaces over Number Fields and the Arithmetic of Marko Numbers (Sivaraman) -- p-Adic Measures for Reciprocals of L-Functions of Totally Real Number Fields (Taha). This is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields. The volume contains research articles in the mathematical area of number theory, written by teams of scholars at all levels in the field. More information about the network, its goals and purpose, past and future conferences, and past proceedings volumes, can be found on the WIN website. This volume contains research outcomes and results produced by the collaborative research groups created under the Women in Numbers V workshop, the 5th in its series. The actual workshop was to take place in 2020 at the Banff International Research Station in Banff, Canada, but could not take place onsite due to COVID. The associated research groups, each consisting of 1-2 leaders and 2-4 junior researchers, were formed nevertheless and their collaborations went ahead in purely virtual form, as well as other papers by author teams for which at least 50% of the authors identify as women or gender minorities. These contributions include original research and survey articles in a wide variety of subareas within number theory. The former present new cutting-edge research that will be of interest to experts in the field, to the benefit of their own research. The survey articles serve as an accessible introduction for graduate students and other readers to areas of number theory that may be outside their area of expertise. Number theory. Algebraic geometry. Number Theory. Algebraic Geometry. Bucur, Alina. editor. edt http://id.loc.gov/vocabulary/relators/edt 79320 Ho, Wei. editor. edt http://id.loc.gov/vocabulary/relators/edt 79321 Scheidler, Renate. editor. edt http://id.loc.gov/vocabulary/relators/edt 79322 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031516764 Printed edition: 9783031516788 Printed edition: 9783031516795 Association for Women in Mathematics Series, 2364-5741 ; 33 79323 https://doi.org/10.1007/978-3-031-51677-1 ZDB-2-SMA ZDB-2-SXMS 61020 61020