I'm confused zeta function was introduced in the first by the Swiss mathematician Leonhard Euler in 1737 and it were extend by Riemann to the complex plane , But Why the name " zeta function " refer to Riemann and not Euler however the first who is discovred it is Euler not Riemann ?
2026-03-26 03:00:52.1774494052
Why we say Riemann zeta function and not Euler zeta function?
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The term "Riemann zeta function" refers to a function whose domain is $\mathbb C$ (unless you want to say it's $\mathbb C\smallsetminus\{1\}$ so that its value is everywhere finite). If Euler only studied its restriction to the interval $(1,+\infty)$ and nobody before Riemann extended its domain like that, then the conventional name makes sense.