Results 101 to 110 of about 3,429,146 (271)
Modular invariance in finite temperature Casimir effect
Journal of High Energy Physics, 2020 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
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Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
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Residue of some Eisenstein series
Indian Journal of Pure and Applied Mathematics, 2023 The real analytic Eisenstein series is a special function that has been studied classically. Its generalization to the case of many variables has been studied extensively. Moreover, the analytic properties of certain Eisenstein series on the Siegel modular groups have also been investigated. The purpose of this study is to provide concrete forms of the
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Aging Cell, Volume 24, Issue 5, May 2025.An endochondral differentiation process in the CEPs drives pathologic disc calcification in aging LG/J mice, and NP cell hypertrophic transdifferentiation secondarily contributes. Supplementing drinking water with 80 mM K3Citrate during aging markedly reduced disc calcification, attenuated NP cell transdifferentiation, and mildly improved NP and AF ...
Olivia K. Ottone +9 more
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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 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
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Siegel zeros of Eisenstein series [PDF]
Acta Arithmetica, 2007 If E(z,s) is the nonholomorphic Eisenstein series on the upper half plane, then for all y sufficiently large, E(z,s) has a "Siegel zero." That is E(z, )=0 for a real number just to the left of one. We give a generalization of this result to Eisenstein series formed with real valued automorphic forms on a finite central covering of the adele points ...
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Situating Experience in Social Meaning: Stance, Salience, and Enregisterment
Journal of Sociolinguistics, Volume 29, Issue 2, Page 136-147, April 2025.ABSTRACT This article uses mixed methods to establish how social meanings are situated in lived experiences. I test whether Greek listeners recognize features of Istanbul Greek (IG) and whether they associate the same social meanings with the variety as IG speakers. Results from a verbal guise experiment and metapragmatic stancetaking discourse suggest
Matthew John Hadodo
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Integral forms of Kac-Moody groups and Eisenstein series in low dimensional supergravity theories [PDF]
, 2015 Kac-Moody groups $G$ over $\mathbb{R}$ have been conjectured to occur as symmetry groups of supergravities in dimensions less than 3, and their integer forms $G(\mathbb{Z})$ are conjecturally U-duality groups. Mathematical descriptions of $G(\mathbb{Z})$,
Bao, Ling, Carbone, Lisa
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The Reciprocal Relationship Between Short‐ and Long‐Term Motor Learning and Neurometabolites
Human Brain Mapping, Volume 46, Issue 4, March 2025.Baseline GABA and Glx levels in motor‐related brain regions predicted motor learning success, with training‐induced neurotransmitter changes reflecting adaptive neuroplasticity over a 4‐week bimanual motor‐learning intervention. No task‐related neurotransmitter modulation could be shown in left PMd; however, the maximal modulatory capacity at baseline ...
Melina Hehl +6 more
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On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3
Open MathematicsIn 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
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