Results 11 to 20 of about 23 (23)
Infant Mental Health Journal: Infancy and Early Childhood, Volume 42, Issue 1, Page 21-34, January/February 2021., 2021 ABSTRACT Parental reflective functioning (PRF) is an important predictor of infant attachment, and interventions that target parent–infant/toddler dyads who are experiencing significant problems have the potential to improve PRF. A range of dyadic interventions have been developed over the past two decades, some of which explicitly target PRF as part ...
Jane Barlow +2 more
wiley +1 more source
Heegner points in Coleman families
Proceedings of the London Mathematical Society, Volume 122, Issue 1, Page 124-152, January 2021., 2021 Abstract We construct two‐parameter analytic families of Galois cohomology classes interpolating the étale Abel–Jacobi images of generalised Heegner cycles, with both the modular form and Grössencharacter varying in p‐adic families.
Dimitar Jetchev +2 more
wiley +1 more source
Twist‐minimal trace formulas and the Selberg eigenvalue conjecture
Journal of the London Mathematical Society, Volume 102, Issue 3, Page 1067-1134, December 2020., 2020 Abstract We derive a fully explicit version of the Selberg trace formula for twist‐minimal Maass forms of weight 0 and arbitrary conductor and nebentypus character, and apply it to prove two theorems. First, conditional on Artin's conjecture, we classify the even 2‐dimensional Artin representations of small conductor; in particular, we show that the ...
Andrew R. Booker +2 more
wiley +1 more source
Twisted Eisenstein series, cotangent‐zeta sums, and quantum modular forms
Transactions of the London Mathematical Society, Volume 7, Issue 1, Page 33-48, December 2020., 2020 Abstract We define twisted Eisenstein series Es±(h,k;τ) for s∈C, and show how their associated period functions, initially defined on the upper half complex plane H, have analytic continuation to all of C′:=C∖R⩽0. We also use this result, as well as properties of various zeta functions, to show that certain cotangent‐zeta sums behave like quantum ...
Amanda Folsom
wiley +1 more source
On depth zero L‐packets for classical groups
Proceedings of the London Mathematical Society, Volume 121, Issue 5, Page 1083-1120, November 2020., 2020 Abstract By computing reducibility points of parabolically induced representations, we construct, to within at most two unramified quadratic characters, the Langlands parameter of an arbitrary depth zero irreducible cuspidal representation π of a classical group (which may be not‐quasi‐split) over a non‐archimedean local field of odd residual ...
Jaime Lust, Shaun Stevens
wiley +1 more source
Traces of reciprocal singular moduli
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 641-656, August 2020., 2020 Abstract We show that the generating series of traces of reciprocal singular moduli is a mixed mock modular form of weight 3/2 whose shadow is given by a linear combination of products of unary and binary theta functions. To prove these results, we extend the Kudla–Millson theta lift of Bruinier and Funke to meromorphic modular functions.
Claudia Alfes‐Neumann +1 more
wiley +1 more source
Quasitriangular coideal subalgebras of Uq(g) in terms of generalized Satake diagrams
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 693-715, August 2020., 2020 Abstract Let g be a finite‐dimensional semisimple complex Lie algebra and θ an involutive automorphism of g. According to Letzter, Kolb and Balagović the fixed‐point subalgebra k=gθ has a quantum counterpart B, a coideal subalgebra of the Drinfeld–Jimbo quantum group Uq(g) possessing a universal K‐matrix K.
Vidas Regelskis, Bart Vlaar
wiley +1 more source
2‐adic slopes of Hilbert modular forms over Q(5)
Bulletin of the London Mathematical Society, Volume 52, Issue 4, Page 716-729, August 2020., 2020 Abstract We show that for arithmetic weights with a fixed finite‐order character, the slopes of Up for p=2 (which is inert) acting on overconvergent Hilbert modular forms of level U0(4) are independent of the (algebraic part of the) weight and can be obtained by a simple recipe from the classical slopes in parallel weight 3.
Christopher Birkbeck
wiley +1 more source
p‐adic L‐functions on metaplectic groups
Journal of the London Mathematical Society, Volume 102, Issue 1, Page 229-256, August 2020., 2020 Abstract With respect to the analytic‐algebraic dichotomy, the theory of Siegel modular forms of half‐integral weight is lopsided; the analytic theory is strong, whereas the algebraic lags behind. In this paper, we capitalise on this to establish the fundamental object needed for the analytic side of the Iwasawa main conjecture — the p‐adic L‐function ...
Salvatore Mercuri
wiley +1 more source
Linear correlations of multiplicative functions
Proceedings of the London Mathematical Society, Volume 121, Issue 2, Page 372-425, August 2020., 2020 Abstract We prove a Green–Tao type theorem for multiplicative functions.
Lilian Matthiesen
wiley +1 more source