03680nam a22006255i 4500 978-3-031-52163-8 DE-He213 20251030112840.0 cr nn 008mamaa 240807s2024 sz | s |||| 0|eng d 9783031521638 978-3-031-52163-8 10.1007/978-3-031-52163-8 doi QA241-247.5 PBH bicssc MAT022000 bisacsh PBH thema Women in Numbers Europe IV [electronic resource] : Research Directions in Number Theory / edited by Ramla Abdellatif, Valentijn Karemaker, Lejla Smajlovic. 1st ed. 2024. Cham : Springer International Publishing : Imprint: Springer, 2024. XIV, 369 p. 18 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 ; 32 On homomorphic encryption using abelian groups: Classical security analysis -- A survey of local-global methods for Hilbert’s Tenth Problem -- Sums of proper divisors with missing digits -- Rational approximations, multidimensional continued fractions and lattice reduction -- Campana points on diagonal hypersurfaces -- Power values of power sums: A survey -- Transcendence measure of e^{1/n} -- Real quadratic singular moduli and p-adic families of modular forms -- Elliptic fibrations and involutions on K3 surfaces -- Mirror constructions for K3 surfaces from bimodal singularities -- Variants of the Li-type criteria for the Generalized Riemann hypothesis -- A note on the non-vanishing of Poincaré series. This volume contains research and expository content based on a wide variety of topics within modern number theory and arithmetic geometry. Research in this volume arises from or is connected with the Women in Numbers Europe (WiNE) IV conference held in Summer 2022 in Utrecht, The Netherlands. The contents of this volume are of interest to professional mathematicians, graduate students, and researchers working in number theory, arithmetic geometry, and related areas. Number theory. Algebraic geometry. Topological groups. 72299 Lie groups. 72300 Group theory. 70149 Computer science Mathematics. 64041 Number Theory. Algebraic Geometry. Topological Groups and Lie Groups. 72304 Group Theory and Generalizations. 70154 Mathematical Applications in Computer Science. 65518 Abdellatif, Ramla. editor. edt http://id.loc.gov/vocabulary/relators/edt 81996 Karemaker, Valentijn. editor. edt http://id.loc.gov/vocabulary/relators/edt 81997 Smajlovic, Lejla. editor. edt http://id.loc.gov/vocabulary/relators/edt 81998 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031521621 Printed edition: 9783031521645 Printed edition: 9783031521652 Association for Women in Mathematics Series, 2364-5741 ; 32 79323 https://doi.org/10.1007/978-3-031-52163-8 ZDB-2-SMA ZDB-2-SXMS 62284 62284