Results 111 to 120 of about 3,473,158 (260)
A note on zeros of Eisenstein series for genus zero Fuchsian groups [PDF]
, 2022 Junichi Shigezumi
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On the Eisenstein cohomology of odd orthogonal groups
, 2011 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
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German Life and Letters, Volume 78, Issue 3, Page 364-379, July 2025.ABSTRACT This article is concerned with the long poem doggerland (2021) by Ulrike Draesner, which we read here primarily in its relationship to the temporal disorder of the Anthropocene. We explore some specific manifestations of what we term ‘Anthropocene arrhythmia’ in Draesner's text, in particular through its engagement with linearity and ...
Nicola Thomas, Katie Ritson
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Toroidal automorphic forms, Waldspurger periods and double Dirichlet series
, 2011 The space of toroidal automorphic forms was introduced by Zagier in the 1970s: a GL_2-automorphic form is toroidal if it has vanishing constant Fourier coefficients along all embedded non-split tori. The interest in this space stems (amongst others) from
Alain Connes +14 more
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Journal of Law and Society, Volume 52, Issue 2, Page 249-268, June 2025.Abstract This article shows how supposedly efficient plea bargaining can obstruct and militate against the prospect of offender rehabilitation and reintegration (R&R). This argument is made by bridging the scholarly gap between the ‘legal’ work of plea bargaining and the ‘corrections’ work of R&R, which requires engaging with offenders and not simply ...
JAY GORMLEY
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Non-holomorphic modular forms from zeta generators
Journal of High Energy PhysicsWe 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
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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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Spectral decomposition of pseudo-cuspforms, and meromorphic continuation of Eisenstein series, on $\mathbb{Q}$-rank one arithmetic quotients [PDF]
, 2022 Iver Walkoe
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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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Some Eisenstein Series Identities
Journal of Number Theory, 2000 In this paper, the author derives new proofs of Eisenstein series identities associated with the Borweins functions \(a(q)\), \(b(q)\) and \(c(q)\), defined by \[ \begin{aligned} a(q) &= \sum_{m,n=-\infty}^\infty q^{m^2+mn+n^2},\\ b(q) &= \sum_{m,n=-\infty}^\infty e^{2(m-n)\pi i/3}q^{m^2+mn+n^2},\\ \text{and} c(q) &=\sum_{m,n=-\infty}^\infty q^{(m+1/3)^
openaire +3 more sources