Results 41 to 50 of about 8,982 (113)
Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Correlations of the squares of the Riemann zeta function on the critical line
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We compute the average of a product of two shifted squares of the Riemann zeta function on the critical line with shifts up to size T3/2−ε$T^{3/2-\varepsilon }$. We give an explicit expression for such an average and derive an approximate spectral expansion for the error term similar to Motohashi's.
Valeriya Kovaleva
wiley +1 more source
Triple sums of Kloosterman sums and the discrepancy of modular inverses
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract We investigate the distribution of modular inverses modulo positive integers c$c$ in a large interval. We provide upper and lower bounds for their box, ball, and isotropic discrepancy, thereby exhibiting some deviations from random point sets. The analysis is based, among other things, on a new bound for a triple sum of Kloosterman sums.
Valentin Blomer +2 more
wiley +1 more source
Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
wiley +1 more source
Orbifold Kodaira–Spencer maps and closed‐string mirror symmetry for punctured Riemann surfaces
Journal of the London Mathematical Society, Volume 111, Issue 5, May 2025.Abstract When a Weinstein manifold admits an action of a finite abelian group, we propose its mirror construction following the equivariant 2D TQFT‐type construction, and obtain as a mirror the orbifolding of the mirror of the quotient with respect to the induced dual group action. As an application, we construct an orbifold Landau–Ginzburg mirror of a
Hansol Hong, Hyeongjun Jin, Sangwook Lee
wiley +1 more source
Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
europepmc +1 more source
Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
europepmc +1 more source
Derivations and KMS-Symmetric Quantum Markov Semigroups. [PDF]
Commun Math Phys, 2023 Vernooij M, Wirth M.
europepmc +1 more source
p-adic vertex operator algebras. [PDF]
Res Number Theory, 2023 Franc C, Mason G.
europepmc +1 more source