LEADER 04135nam 22005415 450 001 9910869158003321 005 20240627102227.0 010 $a3-031-51677-X 024 7 $a10.1007/978-3-031-51677-1 035 $a(MiAaPQ)EBC31505424 035 $a(Au-PeEL)EBL31505424 035 $a(CKB)32575348000041 035 $a(DE-He213)978-3-031-51677-1 035 $a(EXLCZ)9932575348000041 100 $a20240626d2024 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aResearch Directions in Number Theory $eWomen in Numbers V /$fedited by Alina Bucur, Wei Ho, Renate Scheidler 205 $a1st ed. 2024. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2024. 215 $a1 online resource (325 pages) 225 1 $aAssociation for Women in Mathematics Series,$x2364-5741 ;$v33 311 $a3-031-51676-1 327 $aFrom 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). 330 $aThis is the fifth proceedings volume published under the Women in Numbers umbrella. The WIN workshops and their proceedings volumes are part of the WIN network, aimed at highlighting the research of women and gender minorities in number theory as well as increasing their participation and boosting their potential collaborations in number theory and related fields. The volume contains research articles in the mathematical area of number theory, written by teams of scholars at all levels in the field. More information about the network, its goals and purpose, past and future conferences, and past proceedings volumes, can be found on the WIN website. This volume contains research outcomes and results produced by the collaborative research groups created under the Women in Numbers V workshop, the 5th in its series. The actual workshop was to take place in 2020 at the Banff International Research Station in Banff, Canada, but could not take place onsite due to COVID. The associated research groups, each consisting of 1-2 leaders and 2-4 junior researchers, were formed nevertheless and their collaborations went ahead in purely virtual form, as well as other papers by author teams for which at least 50% of the authors identify as women or gender minorities. These contributions include original research and survey articles in a wide variety of subareas within number theory. The former present new cutting-edge research that will be of interest to experts in the field, to the benefit of their own research. The survey articles serve as an accessible introduction for graduate students and other readers to areas of number theory that may be outside their area of expertise. 410 0$aAssociation for Women in Mathematics Series,$x2364-5741 ;$v33 606 $aNumber theory 606 $aAlgebraic geometry 606 $aNumber Theory 606 $aAlgebraic Geometry 615 0$aNumber theory. 615 0$aAlgebraic geometry. 615 14$aNumber Theory. 615 24$aAlgebraic Geometry. 676 $a512.7 700 $aBucur$b Alina$01630725 701 $aHo$b Wei$0866296 701 $aScheidler$b Renate$01743664 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910869158003321 996 $aResearch Directions in Number Theory$94171912 997 $aUNINA