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Results tagged with riemann-zeta-function
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user 104002
The Riemann zeta function is the function of one complex variable $s$ defined by the series $\zeta(s) = \sum_{n \geq 1} \frac{1}{n^s}$ when $\operatorname{Re}(s)>1$. It admits a meromorphic continuation to $\mathbb{C}$ with only a simple pole at $1$. This function satisfies a functional equation relating the values at $s$ and $1-s$. This is the most simple example of an $L$-function and a central object of number theory.
1
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Accepted
Looking for a fine exposition of a result of Littlewood
The result you want is in article 9.12 of Titchmarsh. This is on page 191 of the first edition and page 224 of the new Heath_Brown edition. This result is unconditional,
whereas Littlewood's best resu …
- 112
1
vote
2
answers
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Zeroes of real and imaginary parts of $\zeta(1+it)$ separately (if any for $t>1$ say)
Is anything known about existence and/or location of such zeroes ?
- 112
3
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Why is the Simple Zeros Conjecture said to be stronger than the Riemann Hypothesis?
SZC is thought to be stronger than RH not because any proof exists that SZC implies RH
but because all existing hypotheses implying SZC are stronger than RH.
The most important of these involve the Me …
- 112