Results 11 to 20 of about 111 (89)
A computational study of the asymptotic behaviour of coefficient fields of modular forms [PDF]
, 2009 The article motivates, presents and describes large computer calculations concerning the asymptotic behaviour of arithmetic properties of coefficient fiel ds of modular forms. The observations suggest certain patterns, which deserve further study.
Marcel Mohyla, G. Wiese
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Blood, 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 ...
G. S. Laszlo +10 more
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Recent Progress in the Study of Representations of Integers as Sums of Squares [PDF]
, 2004 In this article, the authors collect the recent results concerning the representations of integers as sums of an even number of squares that are inspired by conjectures of Kac and Wakimoto.
H. Chan, C. Krattenthaler
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Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications
Open 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
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Zeros of Classical Eisenstein Series and Recent Developments
WIN - Women in Numbers, 2011 In this survey, we begin by recalling a beautiful result of F. K. C. Rankin and Swinnerton-Dyer on the location of zeros of the classical Eisenstein series Ek(z) for the full modular group.
S. Garthwaite +3 more
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Holomorphic Almost Modular Forms [PDF]
, 2003 Holomorphic almost modular forms are holomorphic functions of the complex upper half plane that can be approximated arbitrarily well (in a suitable sense) by modular forms of congruence subgroups of large index in SL(2,Z).
J. Marklof
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On the algebraicity of coefficients of half-integral weight mock modular forms
Open 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
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Theta function identities and representation numbers of certain quadratic forms in twelve variables
, 2017 In this paper using the .p;k/-parametrization of theta functions and Eisenstein Series, developed by Alaca, Alaca and Williams, we obtain some new theta function identities and then use them to derive explicit formulae for the number of representations ...
B. Köklüce, I. Karatay
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THE MOONSHINE MODULE FOR CONWAY’S GROUP
Forum 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
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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
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