Astronomy/ Carl Siegel term paper 9990

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Carl Siegel

Carl Siegel was born on December 31 1896 in Berlin Germany. Siegel father worked at the post office. In 1915 Carl entered the University of Berlin. This is while World War I was going on.

First Siegel's intentions were to study astronomy, but Frobenius, which took him towards number theory, influenced him. This was the main research of his career.

In 1917 Siegel studies were interrupted due to military service he had to serve. He was discharged later as one of their failures. This was not a failure to him because now he could get back to his studies.

Siegel took the first idea noted by Liouville and pushed it by Thue who proved when, given a rational number q and any e*0. This means there are finitely many rational numbers p/q such that

q-p/q *1(q+1+e).

Siegel improved this by showing that there are only finitely many rational numbers p/q such if q is an algebraic number of degree n

q-p/q *1/q, where m=2 n.

In 1928 he was teaching 143 students in the differential and integral calculus course. He put in many extra hour grading and correcting student's paper.

On January 30 1933 Hitler came to power and on April 7 the Civil Services Law provided the means of removing Jewish teachers from universities. This did not affect Siegel because he was Aryan.

Some of his contributions to math were approximation of algebraic numbers by rationals and application thereof to Diophantine, Zeta functions including applications to class numbers, and Quadratic forms: analytic theory and modular forms.

In 1978 Siegel was awarded Wolf Prize, which is only one of his many awards. On April 4 1981 Carl Siegel died.

Word Count: 281

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