Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

A larger GL 2 large sieve in the level aspect

100%

Djanković G.

Open Mathematics

2012

tom 10

nr 2

748-760

In this paper we study the orthogonality of Fourier coefficients of holomorphic cusp forms in the sense of large sieve inequality. We investigate the family of GL 2 cusp forms modular with respect to the congruence subgroups Γ1(q), with additional averaging over the levels q ∼ Q. We obtain the orthogonality in the range N ≪ Q 2−δ for any δ > 0, where N is the length of linear forms in the large sieve.

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 Djanković G.

1 Lü G.

1 2013

1 2012

Wyniki wyszukiwania

A larger GL 2 large sieve in the level aspect

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