Results 191 to 200 of about 378,592 (232)

Ligand Type Guided Keto-Arylation Enables Modular Total Synthesis of Polycyclic CBS Xanthones. [PDF]

open access: yesAngew Chem Int Ed Engl
Meringdal JW   +5 more
europepmc   +1 more source

Extended Trochanteric Osteotomy Increases the Risk of Tapered Splined Stem Subsidence in Revision Total Hip Arthroplasty. [PDF]

open access: yesJB JS Open Access
Jolissaint JE   +7 more
europepmc   +1 more source

Modular Forms

2008
Modular forms are functions with an enormous amount of symmetry that play a central role in number theory, connecting it with analysis and geometry. They have played a prominent role in mathematics since the 19th century and their study continues to flourish today.
Edixhoven, B.   +2 more
openaire   +4 more sources

Modular forms

Journal of Soviet Mathematics, 1983
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

 -INVARIANT AND MODULAR FORMS [PDF]

open access: possibleThe 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.
Fei Han, Weiping Zhang
openaire   +1 more source

Construction of modular forms [PDF]

open access: possibleIsrael Journal of Mathematics, 1976
Modular forms arising from lattices are constructed and their transformation properties under the full modular group are obtained in explicit form suitable for calculation. The forms are obtained via specialization of the several variable theta function.
openaire   +2 more sources

Modular Forms

Oberwolfach Reports, 2015
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.
Jan Hendrik Bruinier   +3 more
openaire   +1 more source

The Components of Modular Forms [PDF]

open access: possibleJournal of the London Mathematical Society, 1995
If \(f\) is a modular form on \(\text{SL}_2 (\mathbb{Z})\) of half-integral weight having \(q\) expansion \[ f(\tau):= q^\kappa \sum_{n\geq n_0} a_n q^n \] and \(m\) and \(k\) are integers with \(0\leq k< m\), we define the \((k,m)\)-th component of \(f\) to be the function \(f^{(k,m)}\) given by \[ f^{(k, m)} (\tau):= q^{(k+\kappa)/m} \sum_{nm+ k\geq ...
openaire   +2 more sources

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