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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.
4
votes
2
answers
860
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A question on twisted L-function
Hi!
This is my first question here.
In studying automorphic form, I am wondering the relation of critical L-values of some representation and its twisted representation by a character.
For example, …
1
vote
0
answers
131
views
On the explicit formula of the height function occuring on the doubled Weil representation.
Hi! I am wondering the exact formula of height function of $GL(n)$ which occurs in the doubling Weil representation. To be more precise, let me introduce the basic setting for this.
Let $F$ be the lo …
1
vote
0
answers
129
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Non vanishing and cuspidality of the theta lift of trivial representation.
Hi!
Let E/F be a quadratic number field extension. Then we make some hermitian and skew hermition vector spaces and define unitary group on it.(namely U(1) and U(3))
Then, I am wondering whether the …