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  1. The weight reduction of mod p Siegel modular forms for \(GSp_4\) and theta operators

    In this paper we investigate the (classical) weights of mod p Siegel modular forms of degree 2 toward studying Serre’s conjecture for ...

    Takuya Yamauchi in Mathematische Zeitschrift
    Article 07 December 2022

  4. Some Musings on Theta, Eta, and Zeta From E8 to Cold Plasma to an lnhomogeneous Universe

    This book continues the applications of mathematics, more specifically of theta, eta, and zeta functions, and modular forms, to various areas of...

    Floyd L. Williams in Mathematical Physics Studies
    Book 2023

  5. Natural Convection Flow in an Inclined Wavy Porous Medium in the Presence of an Inclined Periodic Magnetic Field

    In this study, unsteady natural convection flow in an inclined porous wavy cavity under the effect of an inclined periodic magnetic field (MF) is...
    Shafqat Hussain, Bengisen Pekmen Geridonmez in Mathematical Modeling in Physical Sciences
    Conference paper 2024

  6. Maximal theta functions universal optimality of the hexagonal lattice for Madelung-like lattice energies

    We present two families of lattice theta functions accompanying the family of lattice theta functions studied by Montgomery in [H. Montgomery, Minimal...

    Laurent Bétermin, Markus Faulhuber in Journal d'Analyse Mathématique
    Article 05 January 2023

  7. Population models

    Ever since the first recordings of the humanElectroencephalogram electroencephalogram (EEG) in 1924 by Hans Berger [72], electrophysiological brain...
    Stephen Coombes, Kyle C. A. Wedgwood in Neurodynamics
    Chapter 2023

  9. Watson’s addition formula and q series

    An Extension of Watson’s addition formula for Theta functions and Landen transformation is obtained. This is based on properties on the...

    Hemant Masal, Hemant Bhate, Subhash Kendre in Indian Journal of Pure and Applied Mathematics
    Article 09 April 2023

  15. On Hecke-type double-sums and general string functions for the affine Lie algebra \(A_{1}^{(1)}\)

    We demonstrate how formulas that express Hecke-type double-sums in terms of theta functions and Appell–Lerch functions—the building blocks of...

    Eric T. Mortenson in The Ramanujan Journal
    Article 27 May 2023

  16. More Explorations in Complex Functions

    More Explorations in Complex Functions is something of a sequel to GTM 287, Explorations in Complex Functions. Both texts introduce a variety of...

    Richard Beals, Roderick S.C. Wong in Graduate Texts in Mathematics
    Textbook 2023

  18. A generalization of the Davis–Wielandt radius for operators

    In this work, we define a generalization of the Davis–Wielandt radius of Hilbert space operators for an arbitrary norm and obtain some applications...

    Mohammad W. Alomari, Mojtaba Bakherad, Monire Hajmohamadi in Boletín de la Sociedad Matemática Mexicana
    Article 29 May 2024

  19. Chern number inequalities of deformed Hermitian-Yang-Mills metrics on four dimensional Kähler manifolds

    In this paper, we give an affirmative answer to a conjecture of Collins-Yau [ 8 ]. We investigate the Chern number inequalities on 4-dimensional Kähler...

    **aoli Han, **shen ** in manuscripta mathematica
    Article 21 January 2024
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