# Strong Multiplicity One for the Selberg Class

@article{Soundararajan2004StrongMO, title={Strong Multiplicity One for the Selberg Class}, author={Kannan Soundararajan}, journal={Canadian Mathematical Bulletin}, year={2004}, volume={47}, pages={468 - 474} }

Abstract We investigate the problem of determining elements in the Selberg class by means of their Dirichlet series coefficients at primes.

## 10 Citations

### Strong multiplicity one for the Selberg class

- MathematicsMathematika
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We study the problem of determining elements of the Selberg class by information on the coefficents of the Dirichlet series at the squares of primes, or information about the zeroes of the functions.

### Distinguishing L-functions by joint universality

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In this note, we present results for distinguishing L -functions by their multisets of zeros and unique factorizations in an axiomatic setting; our tools stem from universality theory.

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### A refinement of strong multiplicity one for spectra of hyperbolic manifolds

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- 2011

Let $\calM_1$ and $\calM_2$ denote two compact hyperbolic manifolds. Assume that the multiplicities of eigenvalues of the Laplacian acting on $L^2(\calM_1)$ and $L^2(\calM_2)$ (respectively,…

### Analytic monoids and factorization problems

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### N T ] 1 9 Ju l 2 02 1 lADIC IMAGES OF GALOIS FOR ELLIPTIC CURVES OVER Q

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- 2021

We discuss the l-adic case of Mazur’s “Program B” over Q, the problem of classifying the possible images of l-adic Galois representations attached to elliptic curves E over Q, equivalently,…

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$\ell $
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$\mathbb {Q}$
: the problem of classifying the possible images of
$\ell $
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### A database of genus-2 curves over the rational numbers

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<jats:p>We describe the construction of a database of genus-<jats:inline-formula><jats:alternatives><jats:inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" mime-subtype="gif"…

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