Covering topics in graph theory, L-functions, p-adic geometry, Galois representations, elliptic fibrations, genus 3 curves and bad reduction, harmonic analysis, symplectic groups and mould combinatorics, this volume presents a collection of papers covering a wide swath of number theory emerging from the third iteration of the international Women in Numbers conference, “Women in Numbers - Europe” (WINE), held on October 14–18, 2013 at the CIRM-Luminy mathematical conference center in France. While containing contributions covering a wide range of cutting-edge topics in number theory, the volume emphasizes those concrete approaches that make it possible for graduate students and postdocs to begin work immediately on research problems even in highly complex subjects.
Explicit Construction of Ramanujan Bigraphs
Cristina Ballantine, Brooke Feigon, Radhika Ganapathy, Janne Kool, Kathrin Maurischat, Amy Wooding
págs. 1-16
Classifications of Elliptic Fibrations of a Singular K3 Surface
Marie-José Bertin, Alice Garbagnati, Ruthi Hortsch, Odile Lecacheux, Makiko Mase, Cecília Salgado, Ursula Whitcher
págs. 17-49
págs. 51-85
págs. 87-107
Bad Reduction of Genus Three Curves with Complex Multiplication
Irene I. Bouw, Jenny Cooley, Kristin Lauter, Elisa Lorenzo García, Michelle Manes, Rachel Newton, Ekin Ozman
págs. 109-151
págs. 153-166
On τ-Li Coefficients for Rankin–Selberg L-Functions
Alina Bucur, Anne-Maria Ernvall-Hytönen, Almasa Odžak, Edva Roditty Gershon, Lejla Smajlovic
págs. 167-190
Galois Representations and Galois Groups Over ℚ
Sara Arias de Reyna, Cécile Armana, Valentijn Karemaker, Marusia Rebolledo, Lara Thomas, Núria Vila
págs. 191-205
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