The son of peasant parents (both were illiterate), he developed a staggering. Gauss was born on Apin a small German city north of the Harz mountains named Braunschweig. Johann Carl Friedrich Gauss is one of the most influential mathematicians in history. In this sense, the Gamma function, or the Gauss sum, is the Mellin transform of an additive character of $K$ with respect to a multiplicative char of the group $K^*$ of non-zero elements. As you progress further into college math and physics, no matter where you turn, you will repeatedly run into the name Gauss. Here the integral, if interpreted as a functional on compactly supported functions on positive reals, makes sense. $$\int _$, and $\chi (x)= \mid x \mid ^s$then the above "integral" is the Gamma function. Suppose $\phi$ is a homomorphism of the additive group $K$ into $S^1$ and suppose $\chi $ is a homomorphism of the multiplicative group $K^*$ into $S^1$. Suppose $K$ is a locally compact second countable field, and $K^*$ the multiplicitative group of nonzero elements of $K$.
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