Results 11 to 20 of about 481,122 (286)

A Framework for Modular Properties of False Theta Functions

Research in Mathematical Sciences, 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
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Spin and abelian electromagnetic duality on four-manifolds [PDF]

, 2000
We investigate the electromagnetic duality properties of an abelian gauge theory on a compact oriented four-manifold by analysing the behaviour of a generalised partition function under modular transformations of the dimensionless coupling constants. The
Alvarez, Marcos, Olive, David I.
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On parity functions in conformal field theories [PDF]

, 1998
We examine general aspects of parity functions arising in rational conformal field theories, as a result of Galois theoretic properties of modular transformations.
Aoki N, Buffenoir E, Cappelli A, Carlitz L, D Altschüler, E Thiran, Gannon T, Gannon T, Kac V G, Kato A, Koblitz N, P Ruelle, Siegel C L, Washington L   +13 more
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Proof of a modular relation between 1-, 2- and 3-loop Feynman diagrams on a torus [PDF]

, 2015
The coefficients of the higher-derivative terms in the low energy expansion of genus-one graviton Type II superstring scattering amplitudes are determined by integrating sums of non-holomorphic modular functions over the complex structure modulus of a ...
D'Hoker, Eric, Green, Michael B., Vanhove, Pierre   +2 more
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Simple zeros of modular L-functions [PDF]

, 2013
Assuming the generalized Riemann hypothesis, we prove quantitative estimates for the number of simple zeros on the critical line for the L-functions attached to classical holomorphic newforms.Comment: 46 ...
Milinovich, Micah B., Ng, Nathan
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Tetrahedral modular graph functions

Journal of High Energy Physics, 2017
The low-energy expansion of one-loop amplitudes in type II string theory generates a series of world-sheet integrals whose integrands can be represented by world-sheet Feynman diagrams.
Axel Kleinschmidt, Valentin Verschinin
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Poisson equations for elliptic modular graph functions

Physics Letters B, 2021
We obtain Poisson equations satisfied by elliptic modular graph functions with four links. Analysis of these equations leads to a non–trivial algebraic relation between the various graphs.
Anirban Basu
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Higher Coxeter graphs associated to affine su(3) modular invariants [PDF]

, 2005
The affine $su(3)$ modular invariant partition functions in 2d RCFT are associated with a set of generalized Coxeter graphs. These partition functions fall into two classes, the block-diagonal (Type I) and the non block-diagonal (Type II) cases ...
Hammaoui, D., Schieber, G., Tahri, E. H.
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Introductory remarks on complex multiplication

International Journal of Mathematics and Mathematical Sciences, 1982
Complex multiplication in its simplest form is a geometric tiling property. In its advanced form it is a unifying motivation of classical mathematics from elliptic integrals to number theory; and it is still of active interest.
Harvey Cohn
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Some Modular Relations Analogues to the Ramanujan’s Forty Identities with Its Applications to Partitions

Axioms, 2013
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan
Nasser Abdo Saeed Bulkhali, Chandrashekar Adiga   +1 more
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