Results 71 to 80 of about 52,441 (236)
Modular invariance in finite temperature Casimir effect
The temperature inversion symmetry of the partition function of the electromagnetic field in the set-up of the Casimir effect is extended to full modular transformations by turning on a purely imaginary chemical potential for adapted spin angular ...
Francesco Alessio, Glenn Barnich
doaj +1 more source
On the Eisenstein cohomology of odd orthogonal groups
The paper investigates a significant part of the automorphic, in fact of the so-called Eisenstein cohomology of split odd orthogonal groups over Q. The main result provides a description of residual and regular Eisenstein cohomology classes for maximal ...
Borel +18 more
core +1 more source
Cryo‐EM single‐particle analysis expanding towards increasingly native samples
Cryo‐EM single‐particle analysis has revolutionized structural biology by allowing high‐resolution analysis of large molecular assemblies that are not amenable to crystallography or NMR. Combination of this technology with innovative sample‐preparation protocols further expands the range of potential targets.The explosion of cryo‐electron microscopy ...
Jonas Moecking, Tzviya Zeev-Ben-Mordehai
wiley +1 more source
Quantum Variance for Eisenstein Series [PDF]
Abstract In this paper, we prove an asymptotic formula for the quantum variance for Eisenstein series on $\operatorname{PSL}_2(\mathbb{Z})\backslash \mathbb{H}$. The resulting quadratic form is compared with the classical variance and the quantum variance for cusp forms.
openaire +2 more sources
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
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
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Lacunary recurrences for Eisenstein series
Using results from the theory of modular forms, we reprove and extend a result of Romik about lacunary recurrence relations for Eisenstein series.Comment: 6 pages, more detailed proofs in v3, accepted for publication in Research in Number ...
Mertens, Michael H., Rolen, Larry
core +1 more source

