Lamanukin speculated that when a special value is input, the modulus θ function may be described as follows: it is not similar to the modulus form, but has similar characteristics. This special value is called singularity, and when it approaches these points, the function value tends to infinity. If the function f(x)= 1/x, it has a singular point x=0. As x infinitely approaches 0, the function value f(x) gradually increases to infinity.

Lamanukin believes that for each such function, there is a module θ function, which makes them not only have the same singularity, but also approach infinity at almost the same rate. The center of a black hole is actually a singularity. At this singularity, the schwarzschild radius is almost zero, the curvature of spacetime and the density of matter tend to infinity, the space-time manifold reaches the end, and gravity bends into a "trap" and becomes a bottomless pit that devours matter infinitely.

Extended data:

1887, 1887 On February 22, 1987, Lamanukin was born into a declining Brahmin family in Rhodes County, Tamil Nadu, India. My father is a small shop assistant in a cloth shop with a monthly salary of only 20 rupees. A family of seven lives on this meager income. He spent most of his childhood at his grandmother's house. He likes thinking since he was a child. He once asked his teacher the distance between the shining constellations in the sky and the length of the earth's equator.

/kloc-When I was 0/2 years old, I became interested in mathematics. I once asked my senior classmates, "What is the highest truth of mathematics?" At that time, his classmates told him that he could take Pythagorean Theorem (called Pythagorean Theorem in China) as a representative, which aroused his interest in geometry. Around this time, he himself studied the properties of arithmetic progression and proportional sequence. His classmates at that time later recalled: "We, including teachers, seldom understood him and kept him at a respectful distance".

/kloc-when he was 0/5 years old, his friend lent him an outline of pure mathematics and applied mathematics written by British mathematician g carr. The book contains more than 5,000 equations in algebra, calculus, trigonometry and analytic geometry, but no detailed proof is given. This is exactly what Lamanukin wants. He took each equation as a research topic, trying to prove it uniquely and popularize some of them.

It took him about five years to leave hundreds of pages of math notes. He proved some of these equations, but the foundation of his later research benefited from this book. Ramanukin attended high school in Gombogonam and graduated with honors. He was described by the headmaster as "full marks are not enough to show that he is so excellent". However, after entering the famous local Gombogonam College, he devoted all his energy to mathematics research, which led to the failure of other disciplines. Not only did he lose his scholarship, but he was also expelled from school.

1905, 18 years old, left home for three months. A year later, Lamanukin was admitted to Paquet Yapa College in Madras, but this excellent student in mathematics could not escape the fate of being expelled. He failed five liberal arts courses twice. Since then, Lamanukin began to make a living as a tutor, borrowed math books from the library, and then wrote his research conclusions in a notebook.

According to Indian custom, his family arranged a marriage for him at 1909, and his wife was a 9-year-old girl, which was quite common in India at that time. With a family and his eldest son, he had to help his family with some living expenses and had to try his best to find a job. Later, his friend aiyar suggested that he go to R. Rao, an official of Madras Port Trust Company.

Rao is a rich man and a math lover. He appreciates Ramanujin's talent in math. He thinks Ramanujin is only suitable for mathematics and not for other jobs, so he would rather give him some money every month to stay away from his work in name only and concentrate on mathematics research at home.

Baidu Encyclopedia-Srinivasa Ramanujan