# Questions tagged [l-functions]

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.

**11**

**3**answers

### Are L-functions uniquely determined by their values at negative integers?

**-2**

**0**answers

### Does the strong multiplicity one theorem imply the isomorphy of these two automorphism groups?

**4**

**0**answers

### Change of variables for $p$-adic integral

**3**

**1**answer

### Explicit formula: explicit work with general smoothing?

**3**

**0**answers

### Similarity between two $L$-functions (Hasse-Weil $L$-function of twisted ellptic curve and Dirichlet $L$-function)

**2**

**1**answer

### Complex L-functions for Hermitian modular forms?

**4**

**0**answers

### Is there a converse to Vatsal's theorem on congruence of p-adic L-functions?

**2**

**0**answers

### Adelic Mellin transform with nontrivial character

**2**

**0**answers

### Well-known estimate for $L(s,\chi)$ for $\sigma=\text{Re}s\geq 1/2$

**10**

**1**answer

### Least quadratic residue under GRH: an explicit bound

**4**

**2**answers

### Real non trivial zeros of Dirichlet L-functions

**4**

**0**answers

### Second derivative at 1 of L function of elliptic curve

**5**

**2**answers

### Asymptotic's for Fourier coefficients of $GL(3)$ Maass forms

**7**

**0**answers

### A mysterious number related to Hasse-Weil L-function of elliptic curve

**3**

**2**answers