Results 71 to 80 of about 6,121 (156)

Renewable energy hosting capacity assessment in distribution networks based on multi‐strategy improved whale optimization algorithm

IET Renewable Power Generation, Volume 19, Issue 1, January/December 2025.
To effectively evaluate the renewable energy hosting capacity in distribution networks, this paper introduces a comprehensive hosting capacity assessment model considering various safety and stability constraints. Given the numerous non‐linear constraints inherent in the hosting capacity assessment model for distribution networks, a multi‐strategy ...
Chongwu Dong, Tao Yu, Zhenning Pan, Yufeng Wu, Ziyao Wang, Yipeng Wang, Keying Wang   +6 more
wiley   +1 more source

On the zeros of odd weight Eisenstein series

Mathematika, Volume 71, Issue 1, January 2025.
Abstract We count the number of zeros of the holomorphic odd weight Eisenstein series in all SL2(Z)$\mathrm{SL}_2(\mathbb {Z})$‐translates of the standard fundamental domain.
Jan‐Willem van Ittersum, Berend Ringeling   +1 more
wiley   +1 more source

Laurent expansions of meromorphic modular forms

Journal of the London Mathematical Society, Volume 110, Issue 6, December 2024.
Abstract In this paper, we study the Laurent coefficients of meromorphic modular forms at complex multiplication points by giving two approaches of computing them. The first is a generalization of the method of Rodriguez‐Villegas and Zagier, which expresses the Laurent coefficients as constant terms of a family of polynomials obtained through recursion.
Gabriele Bogo, Yingkun Li, Markus Schwagenscheidt   +2 more
wiley   +1 more source

The canonical representation of the Drinfeld curve

Mathematische Nachrichten, Volume 297, Issue 11, Page 4115-4120, November 2024.
Abstract If C$C$ is a smooth projective curve over an algebraically closed field F$\mathbb {F}$ and G$G$ is a group of automorphisms of C$C$, the canonical representation of C$C$ is given by the induced F$\mathbb {F}$‐linear action of G$G$ on the vector space H0C,ΩC$H^0\left(C,\Omega _C\right)$ of holomorphic differentials on C$C$.
Lucas Laurent, Bernhard Köck
wiley   +1 more source

Open String Renormalization Group Flow as a Field Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract This article shows that the integral flow‐lines of the RG‐flow of open string theory can be interpreted as the solitons of a Hořova–Lifshitz sigma‐model of open membranes. The authors argue that the effective background description of this model implies the g‐theorem of open string theory.
Julius Hristov
wiley   +1 more source

Comparison of nonarchimedean and logarithmic mirror constructions via the Frobenius structure theorem

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract For a log Calabi Yau pair (X,D$X,D$) with X∖D$X\setminus D$ smooth affine, satisfying either a maximal degeneracy assumption or contains a Zariski dense torus, we prove under the condition that D is the support of a nef divisor that the structure constants defining a trace form on the mirror algebra constructed by Gross–Siebert are given by ...
Samuel Johnston
wiley   +1 more source

On Weil–Stark elements, I: Construction and general properties

Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.
Abstract We construct a canonical family of elements in the reduced exterior powers of unit groups of global fields and investigate their detailed arithmetic properties. We then show that these elements specialise to recover the classical theory of cyclotomic elements in real abelian fields and also have connections to the theory of non‐commutative ...
David Burns, Daniel Macias Castillo, Soogil Seo   +2 more
wiley   +1 more source

Real Quadratic Analogs of Traces of Singular Moduli [PDF]

, 2017
In this paper, regularized Petersson inner products of certain weight weakly holomorphic (or harmonic) modular forms are expressed in terms of real quadratic analogs of traces of singular moduli.
Duke, W., Imamoḡlu, Ö., Tóth, Á.
core  

L${L}$‐functions of Kloosterman sheaves

Proceedings of the London Mathematical Society, Volume 129, Issue 5, November 2024.
Abstract In this article, we study a family of motives Mn+1k$\mathrm{M}_{n+1}^k$ associated with the symmetric power of Kloosterman sheaves constructed by Fresán, Sabbah, and Yu. They demonstrated that for n=1$n=1$, the L$L$‐functions of M2k$\mathrm{M}_{2}^k$ extend meromorphically to C$\mathbb {C}$ and satisfy the functional equations conjectured by ...
Yichen Qin
wiley   +1 more source