Seven Mathematical Innovations Of Ilyes Jeridi In One Book

Since antiquity, mathematics has fascinated humanity with its beauty, rigor, and power to reveal the universe's hidden order. This book presents original research on timeless enigmas, offering new formulas, structures, and conjectures. It begins with the Jeridien Cubic Pyramid, a novel geometric-arithmetic construction, then explores the Syracuse conjecture, simple and complex Collatz sequences, and a rigorous reformulation of Goldbach's conjecture using symmetric prime pairs. The pre-final chapter introduces the Equally Distributed Prime Numbers Conjecture (Ilyes Jeridi), while the final chapter presents a counterexample to the Toeplitz conjecture. Beyond solutions, the work encourages alternative thinking, inspiring researchers, students, and enthusiasts to pursue the adventure of mathematical discovery.

Autorentext

Ilyes Jeridi, born on January 28, 2010, is a Tunisian high school student with a profound passion for mathematics and science, distinguished by an outstanding record in academic competitions. He has been awarded numerous medals in Mathematics Olympiads, reflecting his excellence and sustained commitment to scientific pursuits.