Modular forms as classification invariants of 4D N $$ \mathcal{N} $$ = 2 Heterotic-IIA dual vacua by Yuichi Enoki, Taizan Watari

“…It is well-known that one can assign a modular form Φ to such a vacuum by counting perturbative BPS states in Heterotic theory or collecting Noether-Lefschetz numbers associated with the K3-fibration of X IIA. …”
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On the modularity of certain functions from the Gromov–Witten theory of elliptic orbifolds by Kathrin Bringmann, Larry Rolen, Sander Zwegers

Subjects: “…modular forms…”
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Arithmetic of generalized Dedekind sums and their modularity by Choi Dohoon, Jun Byungheup, Lee Jungyun, Lim Subong

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A class of non-holomorphic modular forms III: real analytic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$ by Brown, F

“…We define canonical real analytic versions of modular forms of integral weight for the full modular group, generalising real analytic Eisenstein series. …”

Formes modulaires modulo p changement de base et base et théorie d'Iwasawa by Laurent Clozel

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Sp(6, Z) modular symmetry in flavor structures: quark flavor models and Siegel modular forms for $$\widetilde{\Delta }\left(96\right)$$ by Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu, Shohei Takada, Hikaru Uchida

“…Abstract We study an approach to construct Siegel modular forms from Sp(6, Z). Zero-mode wave functions on T 6 with magnetic flux background behave Siegel modular forms at the origin. …”
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Diagonals of Rational Functions: From Differential Algebra to Effective Algebraic Geometry by Youssef Abdelaziz, Salah Boukraa, Christoph Koutschan, Jean-Marie Maillard

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Seven Small Simple Groups Not Previously Known to Be Galois Over <inline-formula><math display="inline"><semantics><mi mathvariant="double-struck">Q</mi></semantics></math></inline... by Luis Dieulefait, Enric Florit, Núria Vila

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Shintani and Shimura lifts of cusp forms on certain arithmetic groups and their applications by Choi SoYoung, Kim Chang Heon

Subjects: “…modular forms…”
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Plea for Diagonals and Telescopers of Rational Functions by Saoud Hassani, Jean-Marie Maillard, Nadjah Zenine

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ρ — Adic Analogues of Ramanujan Type Formulas for 1/π by Sarah Chisholm, Alyson Deines, Ling Long, Gabriele Nebe, Holly Swisher

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Bounds for twisted symmetric square L-functions via half-integral weight periods by Paul D. Nelson

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On some automorphic properties of Galois traces of class invariants from generalized Weber functions of level 5 by Eum Ick Sun, Jung Ho Yun

Subjects: “…modular forms…”
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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52 by Ntienjem Ebénézer

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From Holonomy of the Ising Model Form Factors to n-Fold Integrals and the Theory of Elliptic Curves by Salah Boukraa, Saoud Hassani, Jean-Marie Maillard, Nadjah Zenine

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Scalar‐valued depth two Eichler–Shimura integrals of cusp forms by Tobias Magnusson, Martin Raum

“…We provide an explicit vector‐valued modular form whose top components are given by If,g. …”
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Modular Calabi-Yau manifolds, attractor points, and flux vacua by Kuusela, P

“…<p>The overarching theme of this thesis is the relation of physics - specifically string theory compactifications - to Calabi-Yau modularity, which is a phenomenon where it is possible to associate a modular form to a Calabi-Yau manifold. The coefficients of this modular form can be related to the number of points on the manifold defined over finite fields.…”

Moduli inflation from modular flavor symmetries by Yoshihiko Abe, Tetsutaro Higaki, Fumiya Kaneko, Tatsuo Kobayashi, Hajime Otsuka

“…In the model, the modulus field plays a role of inflaton and the introduction of the stabilizer field coupled to a modular form in the superpotential produces the inflaton potential. …”
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Expert process planning system/ by 278744 Soh, Lin Lin

“…The process knowledge of the system is organized in modular form in order to ease its system development and also future enhancement. …”

Zeta functions and modularity of Calabi-Yau manifolds by Thorne, A

“…We reproduce various known results with higher certainty by checking up to p=97. We identify modular forms in many new cases, including Hilbert modular forms of parallel weight 4 at irrational conifold singularities.…”