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Results tagged with l-functions
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user 5621
Questions about generalizations of the Riemann Zeta function of arithmetic interest whose definition relies on meromorphic continuation of special kinds of Dirichlet series, such as Dirichlet L-functions, Artin L-functions, elements of the Selberg class, automorphic L-functions, Shimizu L-functions, p-adic L-functions, etc.
13
votes
Accepted
Montgomery's pair correlation function without RH?
It's a nice question. There is indeed a way to formulate an unconditional analogue. The idea is to no longer interpret $\gamma$ as ordinates, but instead label the zeroes as $\tfrac{1}{2}+i\gamma$, wh …
- 2,151
7
votes
Shortest/Most elegant proof for $L(1,\chi)\neq 0$
I like a proof due to Ingham, found at http://jlms.oxfordjournals.org/cgi/reprint/s1-5/2/107 (may require a university subscription to access, the title of the article is "A Note on Reimann's $\zeta$ …
- 2,151