Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On effective determination of symmetric-square lifts

100%

Sun Q.

Open Mathematics

2014

tom 12

nr 7

976-990

Let F be the symmetric-square lift with Laplace eigenvalue λ F (Δ) = 1+4µ2. Suppose that |µ| ≤ Λ. We show that F is uniquely determined by the central values of Rankin-Selberg L-functions L(s, F ⋇ h), where h runs over the set of holomorphic Hecke eigen cusp forms of weight κ ≡ 0 (mod 4) with κ≍ϱ+ɛ, t9 = max {4(1+4θ)/(1−18θ), 8(2−9θ)/3(1−18θ)} for any 0 ≤ θ < 1/18 and any ∈ > 0. Here θ is the exponent towards the Ramanujan conjecture for GL2 Maass forms.

Mean values connected with the Dedekind zeta-function of a non-normal cubic field

84%

Lü G.

Open Mathematics

2013

tom 11

nr 2

274-282

After Landau’s famous work, many authors contributed to some mean values connected with the Dedekind zetafunction. In this paper, we are interested in the integral power sums of the coefficients of the Dedekind zeta function of a non-normal cubic extension K 3/ℚ, i.e. $$ S_{l,K_3 } (x) = \sum\nolimits_{m \leqslant x} {M^l (m)} $$, where M(m) denotes the number of integral ideals of the field K 3 of norm m and l ∈ ℕ. We improve the previous results for $$ S_{2,K_3 } (x) $$ and $$ S_{3,K_3 } (x) $$.

Ograniczanie wyników

2 Open Mathematics

1 Lü G.

1 Sun Q.

1 2014

1 2013

Wyniki wyszukiwania

On effective determination of symmetric-square lifts

Mean values connected with the Dedekind zeta-function of a non-normal cubic field