Results 81 to 90 of about 52,325 (233)
ABSTRACT We map explicit family policy evolution across 45 Western and Latin American countries over 120 years, analysing policy developments in child‐related leaves, child benefits, CCTs, and ECEC. Using a newly created dataset, we advance the literature in two ways.
Tobias Böger +2 more
wiley +1 more source
p-adic elliptic polylogarithm, p-adic Eisenstein series and Katz measure [PDF]
The specializations of the motivic elliptic polylog are called motivic Eisenstein classes. For applications to special values of L-Functions, it is important to compute the realizations of these classes.
Bannai, Kenichi, Kings, Guido
core +1 more source
Soft bounds for local triple products and the subconvexity‐QUE implication for GL2$\mathrm{GL}_2$
Abstract We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.
Paul D. Nelson
wiley +1 more source
On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3
In this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
doaj +1 more source
Fourier expansions of complex-valued Eisenstein series on finite upper half planes
We consider complex-valued modular forms on finite upper half planes Hq and obtain Fourier expansions of Eisenstein series invariant under the groups Γ=SL(2,Fp) and GL(2,Fp).
Anthony Shaheen, Audrey Terras
doaj +1 more source
Truncation of Eisenstein series [PDF]
The authors built upon the first author's previous work on truncation of Eisenstein series [Clay Math. Proc. 13, 309--331 (2011; Zbl 1242.22025)], and obtain an explicit formula for the truncation of a general Eisenstein series (Proposition 13). From this explicit formula they derive a generalization of the Maass-Selberg relation on inner product of ...
Lapid, Erez, Ouellette, Keith
openaire +1 more source
Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
doaj +1 more source
Non-holomorphic modular forms from zeta generators
We study non-holomorphic modular forms built from iterated integrals of holomorphic modular forms for SL(2, ℤ) known as equivariant iterated Eisenstein integrals.
Daniele Dorigoni +7 more
doaj +1 more source
On the zeros of Eisenstein series for $\Gamma_0^* (2)$ and $\Gamma_0^* (3)$
We locate all of the zeros of the Eisenstein series associated with the Fricke groups $\Gamma_0^{*}(2)$ and $\Gamma_0^{*}(3)$ in their fundamental domains by applying and expanding the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (``{\it On the
Miezaki, Tsuyoshi +2 more
core +1 more source
ABSTRACT Certain medications, when used during pregnancy, are known to impact human prenatal development. Historically, little attention has been given to the impact of in utero exposure on the developing brain, despite the significance of known teratogen‐induced neurodevelopmental difficulties.
M. Bluett‐Duncan +14 more
wiley +1 more source

