Results 21 to 30 of about 111 (89)

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

CONGRUENCE PROPERTIES OF COEFFICIENTS OF MODULAR FORMS FOR Γ+0(5)

open access: yes, 2013
. We flnd congruence properties on the coe–cients ofmodular forms for i + µ 0 (5) generated by i 0 (5) and a Fricke involution0 i 15 0¶. 1. IntroductionThe study of the arithmetic properties of modular forms with inte-gers is an interesting branch in the ...
Soyoung Choi
semanticscholar   +1 more source

Moonshine [PDF]

open access: yesResearch in the Mathematical Sciences, 2014
Monstrous moonshine relates distinguished modular functions to the representation theory of the Monster . The celebrated observations that 1=1,196884=1+196883,21493760=1+196883+21296876,……(*)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage ...
J. Duncan, Michael J. Griffin, K. Ono
semanticscholar   +1 more source

Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9

open access: yesOpen Mathematics, 2017
The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight.
Park Yoon Kyung
doaj   +1 more source

Bounded projections on Fourier-Stieltjes transforms

open access: yes, 1972
We study certain algebraic projections on the measure algebra (of a locally compact abelian group) which extend to bounded projections on the uniform closure of the Fourier-Stieltjes transforms.
C. Dunkl, D. E. Ramirez
semanticscholar   +1 more source

On a conjecture of Gross

open access: yes, 1975
Gross' conjecture about the generalized Laplacian is proved as a consequence of the main theorem. 1. Gross' conjecture. The generalized Laplacian of a Borel measurable function f in an abstract Wiener space (H-, B) is defined by Af (x) = 2 lim i EL7(r)] }
H. Kuo
semanticscholar   +1 more source

Binomial convolution sum of divisor functions associated with Dirichlet character modulo 8

open access: yesOpen Mathematics
In this article, we compute binomial convolution sums of divisor functions associated with the Dirichlet character modulo 8, which is the remaining primitive Dirichlet character modulo powers of 2 yet to be considered.
Jin Seokho, Park Ho
doaj   +1 more source

On a theorem of Jordan

open access: yes, 2003
The theorem of Jordan which I want to discuss here dates from 1872. It is an elementary result on finite groups of permutations. I shall first present its translations in Number Theory and Topology. 1. Statements 1.1. Number theory.
Jean-Pierre Serre
semanticscholar   +1 more source

On the common zeros of quasi-modular forms for Γ+0(N) of level N = 1, 2, 3

open access: yesOpen Mathematics
In this article, we study common zeros of the iterated derivatives of the Eisenstein series for Γ0+(N){\Gamma }_{0}^{+}\left(N) of level N=1,2,and2,N=1,2, and 3, which are quasi-modular forms.
Im Bo-Hae, Kim Hojin, Lee Wonwoong
doaj   +1 more source

The anti-CD25 monoclonal antibody 7G7/B6, armed with the alpha-emitter 211At, provides effective radioimmunotherapy for a murine model of leukemia.

open access: yesCancer Research, 2006
Radioimmunotherapy of cancer with radiolabeled antibodies has shown promise. alpha-Particles are very attractive for cancer therapy, especially for isolated malignant cells, as is observed in leukemia, because of their high linear energy transfer and ...
Meili Zhang   +12 more
semanticscholar   +1 more source

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