Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with riemann-zeta-function
Search options not deleted
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.
3
votes
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
1
vote
2
answers
314
views
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
1
vote
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