Results 1 to 10 of about 97 (92)

On average theta functions of certain quadratic forms as sums of Eisenstein series

open access: yesOpen Mathematics, 2023
Let QQ be an integral positive definite quadratic form of level NN in 2k2k variables. Further, we assume that (−1)kN{\left(-1)}^{k}N is a fundamental discriminant. We express the average theta function of QQ as an explicit sum of Eisenstein series, which
Eum Ick Sun
doaj   +1 more source

Central L‐values of elliptic curves and local polynomials

open access: yesProceedings of the London Mathematical Society, Volume 120, Issue 5, Page 742-769, May 2020., 2020
Abstract Here we study the recently introduced notion of a locally harmonic Maass form and its applications to the theory of L‐functions. In particular, we find a criterion for vanishing of certain twisted central L‐values of a family of elliptic curves, whereby vanishing occurs precisely when the values of two finite sums over canonical binary ...
Stephan Ehlen   +3 more
wiley   +1 more source

Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms

open access: yesOpen Mathematics, 2022
Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

Development of Astatine-211 ( 211 At)-Based Anti-CD123 Radioimmunotherapy for Acute Leukemias and Other CD123+ Hematologic Malignancies

open access: yes, 2021
Background: Radioimmunotherapy (RIT) has long been pursued to improve outcomes in acute leukemia. Of current interest are alpha-particle emitting radionuclides as they deliver a very large amount of radiation over just a few cell diameters, enabling ...
Walter, Roland B.   +10 more
core   +1 more source

Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang–Mills and the Quantum Hall Effect ⋆ [PDF]

open access: yes, 2006
. The parallel rôles of modular symmetry in N = 2 supersymmetric Yang–Mills and in the quantum Hall effect are reviewed. In supersymmetric Yang–Mills theories modular symmetry emerges as a version of Dirac’s electric – magnetic duality.
Brian P. Dolan, Dolan, Brian P.
core   +1 more source

Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications

open access: yesOpen Mathematics, 2017
For an odd and squarefree level N, Kohnen proved that there is a canonically defined subspace Sκ+12new(N)⊂Sκ+12(N),andSκ+12new(N)andS2knew(N)$S_{\kappa+\frac{1}{2}}^{\mathrm{n}\mathrm{e}\mathrm{w}}(N)\subset S_{\kappa+\frac{1}{2}}(N),\,\,{\text{and ...
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

On the algebraicity of coefficients of half-integral weight mock modular forms

open access: yesOpen Mathematics, 2018
Extending works of Ono and Boylan to the half-integral weight case, we relate the algebraicity of Fourier coefficients of half-integral weight mock modular forms to the vanishing of Fourier coefficients of their shadows.
Choi SoYoung, Kim Chang Heon
doaj   +1 more source

THE MOONSHINE MODULE FOR CONWAY’S GROUP

open access: yesForum of Mathematics, Sigma, 2015
We exhibit an action of Conway’s group – the automorphism group of the Leech lattice – on a distinguished super vertex operator algebra, and we prove that the associated graded trace functions are normalized principal moduli, all having vanishing ...
JOHN F. R. DUNCAN, SANDER MACK-CRANE
doaj   +1 more source

STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE

open access: yesForum of Mathematics, Pi, 2015
Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
doaj   +1 more source

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