Results 31 to 40 of about 3,429,146 (271)
Cusps, Kleinian groups, and Eisenstein series
Forum of Mathematics, Sigma, 2023 We study the Eisenstein series associated to the full rank cusps in a complete hyperbolic manifold. We show that given a Kleinian group $\Gamma
Beibei Liu, Shi Wang
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Critical points of Eisenstein series [PDF]
Mathematika, 2020 For any even integer k⩾4$k {\nobreakspace \geqslant \nobreakspace }4$ , let Ek be the normalized Eisenstein series of weight k for SL2(Z)${\bf SL}_2({\bf Z})$ . Also let D be the closure of the standard fundamental domain of the Poincaré upper half plane
S. Gun, Joseph Oesterl'e
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Elliptic modular graph forms. Part I. Identities and generating series
Journal of High Energy Physics, 2021 Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the character of an Abelian group in their Kronecker-Eisenstein series. The simplest
Eric D’Hoker +2 more
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Lotman about Eisenstein: Context Reconstruction [PDF]
Литературный факт, 2023 Ethics played an important role for Yu.M. Lotman when he judged some phenomenon of art or the personality of the creator. He thought filmmaker S.M. Eisenstein was a brilliant avant-garde artist, though indifferent to moral issues, and therefore condemned
Tatyana D. Kuzovkina
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Eisenstein series of even weight $k \geq 2$ and integral binary quadratic forms [PDF]
Proceedings of the American Mathematical Society, 2020 We prove a conjecture of Matsusaka on the analytic continuationof hyperbolic Eisenstein series in weight $2$ on the full modular group $\mathrm{SL}_2(\mathbb{Z})$.
Andreas Mono
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A fresh approach to classical Eisenstein series and the newer Hilbert–Eisenstein series [PDF]
International Journal of Number Theory, 2017 This paper is concerned with new results for the circular Eisenstein series [Formula: see text] as well as with a novel approach to Hilbert–Eisenstein series [Formula: see text], introduced by Michael Hauss in 1995. The latter turns out to be the product of the hyperbolic sinh function with an explicit closed form linear combination of digamma ...
Tibor K. Pogány +2 more
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A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS
Forum of Mathematics, Sigma, 2020 We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
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EISENSTEIN–KRONECKER SERIES VIA THE POINCARÉ BUNDLE
Forum of Mathematics, Sigma, 2019 A classical construction of Katz gives a purely algebraic construction of Eisenstein–Kronecker series using the Gauß–Manin connection on the universal elliptic curve. This approach gives a systematic way to study algebraic and $p$-adic properties of real-
JOHANNES SPRANG
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Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors [PDF]
, 2014 Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac-Moody groups. In particular, we analyse the Eisenstein series on $E_9(R)$, $E_{10}(R)$ and $E_{11}(R)
Fleig, Philipp +2 more
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Little string instanton partition functions and scalar propagators
Journal of High Energy Physics, 2023 We discuss a class of Little String Theories (LSTs) whose low energy descriptions are supersymmetric gauge theories on the Ω-background with gauge group U(N) and matter in the adjoint representation. We show that the instanton partition function of these
Baptiste Filoche, Stefan Hohenegger
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