Results 281 to 290 of about 53,389 (317)

On growth and form of animal behavior. [PDF]

open access: yesFront Integr Neurosci
Golani I, Kafkafi N.
europepmc   +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

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

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

Modular Forms on Schiermonnikoog

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   +3 more sources

The Values of Modular Functions and Modular Forms

Canadian Mathematical Bulletin, 2006
AbstractLet Γ0be a Fuchsian group of the first kind of genus zero and Γ be a subgroup of Γ0of finite index of genus zero. We find universal recursive relations giving theqr-series coefficients ofj0by using those of theqhs-series ofj, wherejis the canonical Hauptmodul for Γ andj0is a Hauptmodul for Γ0without zeros on the complex upper half plane(hereqℓ:=
openaire   +2 more sources

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