Results 81 to 90 of about 99,696 (310)

Theory of multivariable Bessel functions and elliptic modular functions

Le Matematiche, 1998
The theory of multivariable Bessel functions is exploited to establish further links with the elliptic functions. The starting point of the present investigations is the Fourier expansion of the theta functions, which is used to derive an analogous ...
G. Dattoli, A. Torre, S. Lorenzutta
doaj  

Modular anomaly of BPS black holes

Journal of High Energy Physics
Generating functions of BPS indices, counting states of D4-D2-D0 black holes in Calabi-Yau compactifications of type IIA string theory and identified with rank 0 Donaldson-Thomas invariants, are examples of mock modular forms.
Sergei Alexandrov, Khalil Bendriss
doaj   +1 more source

On Elliptic and Hyperbolic Modular Functions and the Corresponding Gudermann Peeta Functions

Axioms, 2015
In this article, we move back almost 200 years to Christoph Gudermann, the great expert on elliptic functions, who successfully put the twelve Jacobi functions in a didactic setting. We prove the second hyperbolic series expansions for elliptic functions
Thomas Ernst
doaj   +1 more source

Three-loop contributions to the ρ parameter and iterated integrals of modular forms

Journal of High Energy Physics, 2020
We compute fully analytic results for the three-loop diagrams involving two different massive quark flavours contributing to the ρ parameter in the Standard Model.
Samuel Abreu, Matteo Becchetti, Claude Duhr, Robin Marzucca   +3 more
doaj   +1 more source

Modular Forms and Functions

, 1977
This book provides an introduction to the theory of elliptic modular functions and forms, a subject of increasing interest because of its connexions with the theory of elliptic curves.
Robert A. Rankin
core   +1 more source

Mycobacterial cell division arrest and smooth‐to‐rough envelope transition using CRISPRi‐mediated genetic repression systems

FEBS Open Bio, EarlyView.
CRISPRI‐mediated gene silencing and phenotypic exploration in nontuberculous mycobacteria. In this Research Protocol, we describe approaches to control, monitor, and quantitatively assess CRISPRI‐mediated gene silencing in M. smegmatis and M. abscessus model organisms.
Vanessa Point, Wafaa Achache, Janïs Laudouze, Eliana Sepulveda Ramos, Mickaël Maziero, Céline Crauste, Stéphane Canaan, Pierre Santucci   +7 more
wiley   +1 more source

Modular Hamiltonians of excited states, OPE blocks and emergent bulk fields

Journal of High Energy Physics, 2018
We study the entanglement entropy and the modular Hamiltonian of slightly excited states reduced to a ball shaped region in generic conformal field theories.
Gábor Sárosi, Tomonori Ugajin
doaj   +1 more source

Polarization‐resolved femtosecond Vis/IR spectroscopy tailored for resolving weak signals in biological samples using minimal sample volume

FEBS Open Bio, EarlyView.
Unique biological samples, such as site‐specific mutant proteins, are available only in limited quantities. Here, we present a polarization‐resolved transient infrared spectroscopy setup with referencing to improve signal‐to‐noise tailored towards tracing small signals. We provide an overview of characterizing the excitation conditions for polarization‐
Clark Zahn, Karsten Heyne
wiley   +1 more source

Modularity in d > 2 free conformal field theory

Journal of High Energy Physics
We derive new closed form expressions for the partition functions of free conformally-coupled scalars on S 2D−1 × S 1 which resum the exact high-temperature expansion.
Yang Lei, Sam van Leuven
doaj   +1 more source

Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core   +1 more source