Results 41 to 50 of about 3,473,158 (260)
Zeros of some level 2 Eisenstein series [PDF]
, 2009 The zeros of classical Eisenstein series satisfy many intriguing properties. Work of F. Rankin and Swinnerton-Dyer pinpoints their location to a certain arc of the fundamental domain, and recent work by Nozaki explores their interlacing property. In this
Garthwaite, Sharon +3 more
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Algorithms and tools for iterated Eisenstein integrals
Journal of High Energy Physics, 2020 We present algorithms to work with iterated Eisenstein integrals that have recently appeared in the computation of multi-loop Feynman integrals. These algorithms allow one to analytically continue these integrals to all regions of the parameter space ...
Claude Duhr, Lorenzo Tancredi
doaj +1 more source
On Hermitian Eisenstein series [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1994 Let \(\Gamma_ n(K)\) denote the Hermitian modular group of degree \(n\) in the sense of \textit{H. Braun} [Ann. Math., II. Ser. 50, 827-855 (1949; Zbl 0038.238)] associated with an imaginary quadratic number field \(K\) of class number 1. The author considers the Eisenstein series \[ E_ k^{(n)} (Z,s) : =\sum_{{AB \choose CD} : {** \choose 0 ...
openaire +3 more sources
A Scoping Review of Human Teratogens and Their Impact on the Developing Brain: A Contribution From the ConcePTION Project. [PDF]
Birth Defects ResABSTRACT 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.
Bluett-Duncan M +14 more
europepmc +2 more sources
On cubic multisections of Eisenstein series [PDF]
, 2013 A systematic procedure for generating cubic multisections of Eisenstein series is given. The relevant series are determined from Fourier expansions for Eisenstein series by restricting the congruence class of the summation index modulo three.
Alaniz, Andrew, Huber, Tim
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Kernels for products of L-functions [PDF]
, 2011 The Rankin-Cohen bracket of two Eisenstein series provides a kernel yielding products of the periods of Hecke eigenforms at critical values. Extending this idea leads to a new type of Eisenstein series built with a double sum.
Cohen +10 more
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One-loop open-string integrals from differential equations: all-order α′-expansions at n points
Journal of High Energy Physics, 2020 We study generating functions of moduli-space integrals at genus one that are expected to form a basis for massless n-point one-loop amplitudes of open superstrings and open bosonic strings.
Carlos R. Mafra, Oliver Schlotterer
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Eisenstein Series and String Thresholds [PDF]
, 1998 We investigate the relevance of Eisenstein series for representing certain $G(Z)$-invariant string theory amplitudes which receive corrections from BPS states only. $G(Z)$ may stand for any of the mapping class, T-duality and U-duality groups $Sl(d,Z)$, $
Peixoto, M. M. +3 more
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Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, 2020 We define twisted Eisenstein series Es±(h,k;τ) for s∈C , and show how their associated period functions, initially defined on the upper half complex plane H , have analytic continuation to all of C′:=C∖R⩽0 . We also use this result, as well as properties
A. Folsom
semanticscholar +1 more source
Dedekind sums arising from newform Eisenstein series [PDF]
International Journal of Number Theory, 2019 For primitive nontrivial Dirichlet characters [Formula: see text] and [Formula: see text], we study the weight zero newform Eisenstein series [Formula: see text] at [Formula: see text]. The holomorphic part of this function has a transformation rule that
Tristie Stucker, A. Vennos, M. Young
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