Results 11 to 20 of about 68,328 (305)

Generalized modular forms [PDF]

Journal of Number Theory, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Knopp, Marvin, Mason, Geoffrey
openaire   +3 more sources

Modular group and modular forms [PDF]

, 2010
Covers not scanned.
Schmidt, Eric, author, Hulpke, Alexander, advisor, Achter, Jeff, committee member, Cavalieri, Renzo, committee member, Harton, John, committee member   +4 more
openaire   +3 more sources

Interpolated Sequences and Critical L-Values of Modular Forms [PDF]

, 2021
Recently, Zagier expressed an interpolated version of the Apéry numbers for (3) in terms of a critical L-value of a modular form of weight 4. We extend this evaluation in two directions.
Straub, Armin, Osburn, Robert
core   +2 more sources

Iwasawa theory for modular forms at supersingular primes [PDF]

, 2010
Let f=\sum a_nq^n be a normalised eigen-newform of weight k\ge2 and p an odd prime which does not divide the level of f. We study a reformulation of Kato's main conjecture for f over the Zp-cyclotomic extension of Q.
Antonio Lei
core   +2 more sources

Modular forms of virtually real-arithmetic type I: Mixed mock modular forms yield vector-valued modular forms [PDF]

, 2021
The theory of elliptic modular forms has gained significant momentum from the discovery of relaxed yet well-behaved notions of modularity, such as mock modular forms, higher order modular forms, and iterated Eichler-Shimura integrals. Applications beyond
Raum, Martin, Mertens, Michael H.
core   +4 more sources

Mathieu moonshine and Siegel Modular Forms

Journal of High Energy Physics, 2021
A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
doaj   +1 more source

The module of vector-valued modular forms is Cohen-Macaulay [PDF]

, 2020
summary:Let $H$ denote a finite index subgroup of the modular group $\Gamma $ and let $\rho $ denote a finite-dimensional complex representation of $H.$ Let $M(\rho )$ denote the collection of holomorphic vector-valued modular forms for $\rho $ and let ...
Gottesman, Richard
core   +1 more source

Constructing modular forms from harmonic Maass Jacobi forms [PDF]

, 2021
summary:We construct a family of modular forms from harmonic Maass Jacobi forms by considering their Taylor expansion and using the method of holomorphic projection.
Zhou, Haigang, Xiong, Ran
core   +1 more source

Meromorphic modular forms and the three-loop equal-mass banana integral

Journal of High Energy Physics, 2022
We consider a class of differential equations for multi-loop Feynman integrals which can be solved to all orders in dimensional regularisation in terms of iterated integrals of meromorphic modular forms.
Johannes Broedel, Claude Duhr, Nils Matthes   +2 more
doaj   +1 more source

Topological Modular Forms [PDF]

, 2014
DEFINITION 3.5. An integral modular form of weight n is a law associating to every pointed curve of genus 1 a section of wo" in a way compatible with base change.
Douglas, C, Francis, J, Henriques, A, Hill, M   +3 more
openaire   +2 more sources