Results 21 to 30 of about 114 (98)

The logarithm of the dedekind ?-function

Mathematische Annalen, 1987
The appearance of Dedekind sums in topology was first noted by \textit{F. Hirzebruch} [Prospects Math., Ann. Math. Stud. 70, 3-31 (1971; Zbl 0252.58009)]. These sums were introduced by Dedekind to describe the transformation of \(\log\eta(\tau)\) under elements of \(SL(2,{\mathbb{Z}})\), where \(\eta(\tau)\) is the Dedekind eta-function. In the present
openaire   +1 more source

The 26th power of Dedekind's η-function

Advances in Mathematics, 2006
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Chan, H.H., Cooper, S., Toh, P.C.
openaire   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

Fortschritte der Physik, Volume 74, Issue 4, April 2026.
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley   +1 more source

Dedekind's η-function and Rogers-Ramanujan identities [PDF]

Bulletin of the London Mathematical Society, 2012
We prove a q-series identity that generalises Macdonald's A_{2n}^{(2)} eta-function identity and the Rogers-Ramanujan identities. We conjecture our result to generalise even further to also include the Andrews-Gordon identities.
Warnaar, S. Ole, Zudilin, W.
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A P‐adic class formula for Anderson t‐modules

Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.
Abstract In 2012, Taelman proved a class formula for L$L$‐series associated to Drinfeld Fq[θ]$\mathbb {F}_q[\theta]$‐modules and considered it as a function field analogue of the Birch and Swinnerton‐Dyer conjecture. Since then, Taelman's class formula has been generalized to the setting of Anderson t$t$‐modules.
Alexis Lucas
wiley   +1 more source

Minimal type-I Dirac seesaw and leptogenesis under A4 modular invariance

Nuclear Physics B
We present a Dirac mass model based on A4 modular symmetry within Type-I seesaw framework. This extension of Standard Model requires three right-handed neutrinos and three heavy Dirac fermions superfields, all singlet under SU(2)L symmetry.
Labh Singh, Monal Kashav, Surender Verma
doaj   +1 more source

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
wiley   +1 more source

Non-perturbative corrections in the semi-classical limit of double-scaled SYK

Journal of High Energy Physics
We study the disk partition function of double-scaled SYK model (DSSYK) in the small λ limit, where λ = log q is the coupling of DSSYK. We find that the partition function receives non-perturbative corrections in λ, which can be resummed by the cubic ...
Kazumi Okuyama
doaj   +1 more source

The Generalized Eta Transformation Formulas as the Hecke Modular Relation

Axioms
The transformation formula under the action of a general linear fractional transformation for a generalized Dedekind eta function has been the subject of intensive study since the works of Rademacher, Dieter, Meyer, and Schoenberg et al.
Nianliang Wang, Takako Kuzumaki, Shigeru Kanemitsu   +2 more
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Permuting Generalized f‐Triderivations on Lattices

Journal of Mathematics, Volume 2026, Issue 1, 2026.
G. Szász initially proposed the idea of lattice derivation, and it has since been revived in the study of other problems in various branches of mathematics and applied sciences. The intention of the current research is to examine the structure of permuting generalized f‐triderivation linked with permuting f‐triderivation on lattice T,∧,∨ and to provide
Areej Almuhaimeed, Faiza Shujat, Abu Zaid Ansari, Pramita Mishra   +3 more
wiley   +1 more source