Results 1 to 10 of about 97 (92)
6B8, 6B11, 2F3, 4E1, 8F9, 1A5, 3D10, 6C11, 11F11, 12F8, 8H7, 8H9, 10F4, 14D2, 15D4 Anti-Estradiol
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Mustafaev, M
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On average theta functions of certain quadratic forms as sums of Eisenstein series
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
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
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
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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]
. 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.
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Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications
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
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On the algebraicity of coefficients of half-integral weight mock modular forms
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
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THE MOONSHINE MODULE FOR CONWAY’S GROUP
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
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STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
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
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