Results 31 to 40 of about 480,606 (330)

Minimal Polynomials of Some Eta-Quotients Evaluated at CM Points

open access: yesMathematics
We study certain eta-quotients of weight zero evaluated at CM points of imaginary quadratic orders. Using the theory of extended form class groups, we show that these special values generate the corresponding ring class fields and we provide explicit ...
Ho Yun Jung
doaj   +1 more source

On the modular invariance of mass eigenstates and CP violation [PDF]

open access: yes, 2001
We investigate the modular transformation properties of observable (light) fields in heterotic orbifolds, in the light of recent calculations of CP-violating quantities.
Dent, Thomas
core   +2 more sources

A CLASS OF NONHOLOMORPHIC MODULAR FORMS II: EQUIVARIANT ITERATED EISENSTEIN INTEGRALS

open access: yesForum of Mathematics, Sigma, 2020
We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of ...
FRANCIS BROWN
doaj   +1 more source

A Framework for Modular Properties of False Theta Functions

open access: yes, 2019
False theta functions closely resemble ordinary theta functions, however they do not have the modular transformation properties that theta functions have.
Bringmann, Kathrin, Nazaroglu, Caner
core   +1 more source

A theory of theta functions to the quintic base [PDF]

open access: yes, 2013
Properties of four quintic theta functions are developed in parallel with those of the classical Jacobi null theta functions. The quintic theta functions are shown to satisfy analogues of Jacobi's quartic theta function identity and counterparts of ...
Huber, Tim
core   +1 more source

Modular Quasi-Pseudo Metrics and the Aggregation Problem

open access: yesMathematics
The applicability of the distance aggregation problem has attracted the interest of many authors. Motivated by this fact, in this paper, we face the modular quasi-(pseudo-)metric aggregation problem, which consists of analyzing the properties that a ...
Maria del Mar Bibiloni-Femenias   +1 more
doaj   +1 more source

Discrete Integrals Based on Comonotonic Modularity

open access: yesAxioms, 2013
It is known that several discrete integrals, including the Choquet and Sugeno integrals, as well as some of their generalizations, are comonotonically modular functions.
Jean-Luc Marichal, Miguel Couceiro
doaj   +1 more source

Exercise Interventions in Children, Adolescents and Young Adults With Paediatric Bone Tumours—A Systematic Review

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Bone tumours present significant challenges for affected patients, as multimodal therapy often leads to prolonged physical limitations. This is particularly critical during childhood and adolescence, as it can negatively impact physiological development and psychosocial resilience.
Jennifer Queisser   +5 more
wiley   +1 more source

Integral of two-loop modular graph functions

open access: yesJournal of High Energy Physics, 2019
The integral of an arbitrary two-loop modular graph function over the fundamental domain for SL(2, ℤ) in the upper half plane is evaluated using recent results on the Poincaré series for these functions.
Eric D’Hoker
doaj   +1 more source

Discretized Weyl-orbit functions: modified multiplication and Galois symmetry

open access: yes, 2014
We note a remarkable similarity between the discretized Weyl-orbit functions and affine modular data associated with Wess-Zumino-Novikov-Witten (WZNW) conformal field theories.
Hrivnák, Jiří, Walton, Mark A.
core   +1 more source

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