03288nam a22005415i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001600153072001600169072002300185072001500208245016300223250001800386264007500404300006400479336002600543337002600569338003600595347002400631490006600655505072000721520047601441650001901917650002401936650002401960650001601984650001802000650003502018650001902053650002402072650003902096650003802135650005102173700008002224700008302304700007902387710003402466773002602500776003602526776003602562776003602598830006602634856004602700978-3-031-52163-8DE-He21320251030112840.0cr nn 008mamaa240807s2024 sz | s |||| 0|eng d a97830315216387 a10.1007/978-3-031-52163-82doi 4aQA241-247.5 7aPBH2bicssc 7aMAT0220002bisacsh 7aPBH2thema10aWomen in Numbers Europe IVh[electronic resource] :bResearch Directions in Number Theory /cedited by Ramla Abdellatif, Valentijn Karemaker, Lejla Smajlovic. a1st ed. 2024. 1aCham :bSpringer International Publishing :bImprint: Springer,c2024. aXIV, 369 p. 18 illus., 8 illus. in color.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aAssociation for Women in Mathematics Series,x2364-5741 ;v320 aOn 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. aThis 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. 0aNumber theory. 0aAlgebraic geometry. 0aTopological groups. 0aLie groups. 0aGroup theory. 0aComputer sciencexMathematics.14aNumber Theory.24aAlgebraic Geometry.24aTopological Groups and Lie Groups.24aGroup Theory and Generalizations.24aMathematical Applications in Computer Science.1 aAbdellatif, Ramla.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aKaremaker, Valentijn.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aSmajlovic, Lejla.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303152162108iPrinted edition:z978303152164508iPrinted edition:z9783031521652 0aAssociation for Women in Mathematics Series,x2364-5741 ;v3240uhttps://doi.org/10.1007/978-3-031-52163-8