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The family of symmetric powers of an L-function associated with an elliptic curve with complex multiplication has received much attention from algebraic, automorphic and p-adic points of view. Here we examine one explicit such family from the perspectives of classical analytic number theory and random matrix theory, especially focusing on evidence for the symmetry type of the family. In particular, we investigate the values at the central point and give evidence that this family can be modeled by...

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Displaying 221 – 240 of 309

On the meromorphic continuation of degree two $L$ -functions.

On the non-existence of simple congruences for quotients of Eisenstein series

On the Non-Vanishing of Certain Poincaré Series.

On the not integrally closed subrings of the ring of the Thetanullwerte. II.

On the number of representations of integers by quadratic forms in twelve variables.

On the number of representations of positive integers by a direct sum of binary quadratic forms with discriminant $- 23$ .

On the number of representations of positive integers by quadratic forms as the basis of the space $S_{4} (Γ_{0} (47), 1)$ .

On the number of representations of positive integers by the quadratic form $x_{1}^{2} + \dots + x_{8}^{2} + 4 x_{9}^{2}$ .

On the number of subgroups of given index in the modular group.

On the order of vanishing of modular $L$ -functions at the critical point

On the orthogonal symmetry of L-functions of a family of Hecke Grössencharacters

On the p-adic Eichler-Shimura isomorphism for ...-adic cusp forms.

On the p-adic height of Heegner cycles.

On the Periods of Modular Forms.

On the Petersson norm of a Siegel-Hecke Eigenform of degree two in the Maass space.

On the Poles of Andranov L-Functions.

On the prime number theorem for the coefficients of certain modular forms

On the principal congruence subgroups of the Hecke-group $H (\sqrt{5})$ .

On the products of Hecke L-functions of holomorphic cusp forms

On the proof of Humbert's volume formula.

Currently displaying 221 – 240 of 309