1 Table of Contents: “...'s theorem -- The abc-conjecture -- Nevalinna theory -- The Vojta conjectures...”

2 Table of Contents: “...Prime Numbers -- The abc Conjecture -- Global Integration of Locally Integrable Vector Fields...”

3 Table of Contents: “... and Quadratic Reciprocity -- Fourier Analysis on Finite Abelian Groups -- The abc Conjecture -- Divisors...”

4 “... in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function...”

5 “... generalized abc-conjecture. The book also presents the state of the art in the studies of the analogues...”

6 “... of arithmetic and geometry, such as the abc conjecture, complex multiplication and Beauville surfaces. Dessins...”

7 Table of Contents: “... -- Chapter 3. Discriminants, polytopes, and toric geometry -- Chapter 4. Lecture on the abc conjecture...”

8 Table of Contents: “... in Ramanujan’s Lost Notebook -- The abc-conjecture -- On Values of Linear and Quadratic Forms at Integral Points...”

9 Table of Contents: “... forms with integer coefficients / Peter Sarnak -- Modular forms, elliptic curves and the ABC-conjecture...”

10 “... are presented, including: the ABC-conjecture, Artins conjecture on primitive roots, the Brumer-Stark conjecture...”

11 Table of Contents: “... of meromorphic functions -- 2.3 Two main theorems -- 2.4 Notes on the second main theorem -- 2.5 ‘abc’ conjecture...”

12 Table of Contents: “... Voevodsky's Univalent Foundations of Mathematics to Mochizuki's IUT-Theoretic Proof of the ABC Conjecture...”