Results 21 to 30 of about 229 (136)
A new class of modular equation for Weber functions [PDF]
, 2007 We describe the construction of a new type of modular equation for Weber functions. These bear some relationship to Weber's modular equations of the irrational kind. Numerous examples of these equations are explicitly computed.
Hart, William B.
core +1 more source
A new class of theta function identities in two variables [PDF]
, 2010 We describe a new series of identities, which hold for certain general theta series, in two completely independent variables. We provide explicit examples of these identities involving the Dedekind eta function, Jacobi theta functions, and various ...
Toh, Pee Choon +2 more
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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
Open Mathematics, 2017 The convolution sum, ∑(l,m)∈N02αl+βm=nσ(l)σ(m), $ \begin{array}{} \sum\limits_{{(l\, ,m)\in \mathbb{N}_{0}^{2}}\atop{\alpha \,l+\beta\, m=n}} \sigma(l)\sigma(m), \end{array} $ where αβ = 22, 44, 52, is evaluated for all natural numbers n. Modular forms
Ntienjem Ebénézer
doaj +1 more source
Congruences for Fourier coefficients of eta‐quotients modulo powers of 5, 7, 11, 13, and 17
, 2022 International audienceIn this paper, we investigate the Fourier coefficients of the eta‐quotients of the forms where is the Dedekind eta function, , and 17; is a positive integer, and are arbitrary integers.
Abdelmejid Bayad +5 more
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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 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chan, H.H., Cooper, S., Toh, P.C.
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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.
openaire +5 more sources
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
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 +3 more
wiley +1 more source
Minimal type-I Dirac seesaw and leptogenesis under A4 modular invariance
Nuclear Physics BWe 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
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