Single-valued integration and double copy by Brown, FCS, Dupont, C

“…We provide several examples, including non-holomorphic modular forms, archimedean Néron–Tate heights on curves, single-valued multiple zeta values and polylogarithms. …”

ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL $L$ -VALUES OVER HILBERT CLASS FIELDS by ASHAY A. BURUNGALE, HARUZO HIDA

“…Our approach is geometric, relying on the general theory of Shimura varieties and the geometric definition of nearly holomorphic modular forms. In particular, the approach avoids any use of a subconvex bound for the Rankin–Selberg $L$ -values. …”
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Quasi-Jacobi forms, elliptic genera and strings in four dimensions by Seung-Joo Lee, Wolfgang Lerche, Guglielmo Lockhart, Timo Weigand

“…We argue that certain contributions to the elliptic genus are given by derivatives of modular or quasi-modular forms, which may encode BPS invariants of Calabi-Yau or non-Calabi-Yau threefolds that are embedded in the given fourfold. …”
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The cosmic Galois group, the sunrise Feynman integral, and the relative completion of Γ1(6) by Tapuskovic, M

“…We also look at the single-valued periods associated to the functions on the motivic Galois group, i.e. the ‘de Rham periods’, which appear in the coaction on the sunrise, and show that they are generalisations of Brown’s non-holomorphic modular forms with two weights. In the second part of the paper we consider the relative completion of the torsor of paths on a modular curve and its periods, the theory of which is due to Brown and Hain. …”

Maximal U(1) Y -violating n-point correlators in N $$ \mathcal{N} $$ = 4 super-Yang-Mills theory by Michael B. Green, Congkao Wen

“…The coupling constant dependence of these terms is found to be described by non-holomorphic modular forms with holomorphic and anti-holomorphic weights (n − 4, 4 − n) that are SL(2, ℤ)-covariant derivatives of Eisenstein series and certain generalisations. …”
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Modular S 4 and A 4 symmetries and their fixed points: new predictive examples of lepton mixing by Gui-Jun Ding, Stephen F. King, Xiang-Gan Liu, Jun-Nan Lu

“…Focussing on level N = 4, corresponding to the flavour group S 4, we consider all the resulting triplet modular forms at these fixed points up to weight 6. We then apply the results to lepton mixing, with different residual subgroups in the charged lepton sector and each of the right-handed neutrinos sectors. …”
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Modularity in Football Passing Networks by Sandy İpeker, Necmi Gürsakal, Bülent Batmaz, Fırat Yılmaz, Halil Orbay Çobanoğlu

“…If they want to know how modules are generated and how their disconnection leads to functional decay they should analyze the modularity formed as a result of a football match. The aim of this study is to examine to what extent the football teams' managers have implemented their strategies in games. …”
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Microbial Community Colonization Process Unveiled through eDNA-PFU Technology in Mesocosm Ecosystems by Siyu Gu, Peng Zhang, Shuai Luo, Kai Chen, Chuanqi Jiang, Jie Xiong, Wei Miao

“…Furthermore, the Molecular Ecological Networks (MEN) showed that the network in eDNA-PFU was more modular, forming a unique microbial community differentiated from the aquatic environment. …”
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The evolution of business ecosystems : interspecies competition in the steel industry by Mathur, Akshat

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