EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1 Next

Displaying 1 – 20 of 75

$M_{2}$ -rank differences for partitions without repeated odd parts

Jeremy Lovejoy, Robert Osburn (2009)

Journal de Théorie des Nombres de Bordeaux

We prove formulas for the generating functions for $M_{2}$ -rank differences for partitions without repeated odd parts. These formulas are in terms of modular forms and generalized Lambert series.

Maass Operators and Eisenstein Series.

Michael Harris (1981)

Mathematische Annalen

Maass operators and van der Pol-type identities for Ramanujan's tau function

Dominic Lanphier (2004)

Acta Arithmetica

Mahler's measure and special values of $L$ -functions.

Boyd, David W. (1998)

Experimental Mathematics

Mahler's measure: proof of two conjectured formulae.

Touafek, Nouressadat (2008)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Maps defined by Thetanullwerte.

Riccardo Salvati Manni (1993)

Journal für die reine und angewandte Mathematik

Matrix coefficients, counting and primes for orbits of geometrically finite groups

Amir Mohammadi, Hee Oh (2015)

Journal of the European Mathematical Society

Let $G : = SO {(n, 1)}^{\circ}$ and $Γ (n - 1) / 2$ for $n = 2, 3$ and when $δ > n - 2$ for $n \geq 4$ , we obtain an effective archimedean counting result for a discrete orbit of $Γ$ in a homogeneous space $H ∖ G$ where $H$ is the trivial group, a symmetric subgroup or a horospherical subgroup. More precisely, we show that for any effectively well-rounded family ${ℬ_{T} \subset H ∖ G}$ of compact subsets, there exists $η > 0$ such that $# [e] Γ \cap ℬ_{T} = ℳ (ℬ_{T}) + O (ℳ {(ℬ_{T})}^{1 - η})$ for an explicit measure $ℳ$ on $H ∖ G$ which depends on $Γ$ . We also apply the affine sieve and describe the distribution of almost primes on orbits of $Γ$ in arithmetic settings....

Matrizen mit einem über Q irreduziblen charakteristischen Polynom und die Dimension des Vektorraums der Spitzenformen zur Modulgruppe n-ten Grades und Stufe q>2.

Petra Ploch (1991)

Acta Arithmetica

Mean value estimates for exponential sums and L-functions: a spectral theoretic approach.

Yoichi Motohashi, Matti Jutila (1995)

Journal für die reine und angewandte Mathematik

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

Guangshi Lü (2013)

Open Mathematics

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. $S_{l, K_{3}} (x) = \sum_{m ⩽ x} M^{l} (m)$ , 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 $S_{3, K_{3}} (x)$ .