Results 31 to 40 of about 433 (43)

Compact periods of Eisenstein series of orthogonal groups of rank one

open access: yes, 2012
Let G=O(n+3) be an orthogonal group of rank one and H=O(n+2) an anisotropic subgroup. We unwind the period along H of a spherical Eisenstein series of G against a cuspform of H into an Euler product and evaluate the local factors at odd primes.Comment ...
Boavida, João Pedro
core   +1 more source

Cohomological relation between Jacobi forms and skew-holomorphic Jacobi forms [PDF]

open access: yes, 2013
Eichler and Zagier developed a theory of Jacobi forms to understand and extend Maass' work on the Saito-Kurokawa conjecture. Later Skoruppa introduced skew-holomorphic Jacobi forms, which play an important role in understanding liftings of modular forms ...
Choi, Dohoon, Lim, Subong
core  

A note on the Fourier coefficients of a Cohen-Eisenstein series

open access: yes, 2016
We prove a formula for the coefficients of a weight $3/2$ Cohen-Eisenstein series of square-free level $N$. This formula generalizes a result of Gross and in particular, it proves a conjecture of Quattrini. Let $l$ be an odd prime number.
Krishnamoorthy, Srilakshmi
core   +1 more source

Period functions for Maass cusp forms for $\Gamma_0(p)$: a transfer operator approach

open access: yes, 2012
We characterize the Maass cusp forms for Hecke congruence subgroups of prime level as 1-eigenfunctions of a finite-term transfer operator.Comment: 17 pages, 6 ...
Pohl, Anke D.
core   +1 more source

An archimedian analog of Iwasawa theory [PDF]

open access: yes, 2012
We will show a conjecture which reduces Mazur-Tate-Teitelbaum conjecture to the known cases. In order to explain its background we will develop an archimedian analog of Iwasawa theory.
Sugiyama, Ken-ichi
core  

Decomposition of elliptic multiple zeta values and iterated Eisenstein integrals [PDF]

open access: yes, 2017
We describe a decomposition algorithm for elliptic multiple zeta values, which amounts to the construction of an injective map $\psi$ from the algebra of elliptic multiple zeta values to a space of iterated Eisenstein integrals.
Matthes, Nils
core   +1 more source

Totally odd depth-graded multiple zeta values and period polynomials

open access: yes, 2017
Inspired by a paper of Tasaka, we study the relations between totally odd, motivic depth-graded multiple zeta values. Our main objective is to determine the rank of the matrix $C_{N,r}$ defined by Brown. We will give new proofs for (conjecturally optimal)
Dietze, Charlotte   +3 more
core  

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