Linear forms in logarithms and transcendence of L-values

• Grant number: 25/04155-6
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2025
• End date: May 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Tiago Jardim da Fonseca
• Grantee: Laura Torquato Rangel
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil
• Associated research grant: 20/15804-1 - Periods and algebraicity, AP.JP

Abstract

This project is an introduction to Baker's theorem on linear forms in logarithms of algebraic numbers and its applications in transcendental number theory. In particular, we shall study the work of Adhikari et al., which uses Baker's theorem to clarify the arithmetic nature of certain special values of Dirichilet L-series.