Results 281 to 290 of about 389,954 (327)
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The Quarterly Journal of Mathematics, 2014
We show that the Atiyah-Patodi-Singer reduced $ $-invariant of the twisted Dirac operator on a closed $4m-1$ dimensional spin manifold, with the twisted bundle being the Witten bundle appearing in the theory of elliptic genus, is a meromorphic modular form of weight $2m$ up to an integral $q$-series.
Han, Fei, Zhang, Weiping
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We show that the Atiyah-Patodi-Singer reduced $ $-invariant of the twisted Dirac operator on a closed $4m-1$ dimensional spin manifold, with the twisted bundle being the Witten bundle appearing in the theory of elliptic genus, is a meromorphic modular form of weight $2m$ up to an integral $q$-series.
Han, Fei, Zhang, Weiping
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2014
The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a particular focus on connections to the theory of periods.
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The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a particular focus on connections to the theory of periods.
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2019
The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a particular focus on connections to the theory of periods.
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The theory of Modular Forms has been central in mathematics with a rich history and connections to many other areas of mathematics. The workshop explored recent developments and future directions with a particular focus on connections to the theory of periods.
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Canadian Journal of Mathematics, 1980
In this paper we construct modular forms from combinatorial designs, and codes over finite fields. We construct codes from designs, and lattices from codes. Then we use the combinatorial properties of the designs and the weight (or shape) structures of the codes to study the theta functions of the associated lattices. These theta functions are shown to
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In this paper we construct modular forms from combinatorial designs, and codes over finite fields. We construct codes from designs, and lattices from codes. Then we use the combinatorial properties of the designs and the weight (or shape) structures of the codes to study the theta functions of the associated lattices. These theta functions are shown to
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Congruence Restricted Modular Forms
The Ramanujan Journal, 2005For \(f(z)\) given on the upper half-plane by an exponential series \[ f(z)= \sum^\infty_{n=n_0}a_ne^{2\pi i(n+x)z},0\leq k0), \] a corresponding ``congruence restricted'' exponential series. The author points out that in recent years ``several people who work with modular forms have made and used the following observation: often, when \(f(z)\) is a ...
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Mathematische Nachrichten, 1997
AbstractWe study moduli spaces of principally polarized abelian varieties with an automorphism of finite order. After some examples (e. g. hermitian modular forms) we compute the ring of Picard modular forms in the case considered by Picard.
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AbstractWe study moduli spaces of principally polarized abelian varieties with an automorphism of finite order. After some examples (e. g. hermitian modular forms) we compute the ring of Picard modular forms in the case considered by Picard.
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Onconephrology: The intersections between the kidney and cancer
Ca-A Cancer Journal for Clinicians, 2021, Kenar D Jhaveri, Mark A Perazella
exaly