On newforms of half-integral weight and Jacobi forms
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2018.05.002
Abstract: Abstract Let N be an odd and square-free integer. Let α be a positive integer with α = 2 or α = 5 . Let χ modulo N be a Dirichlet character and let χ… read more here.
Keywords: cusp forms; newforms half; integral weight; jacobi ... See more keywords
Half-integral weight modular forms and application to neutrino mass models
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.102.115035
Abstract: We generalize the modular invariance approach to include the half-integral weight modular forms. Accordingly the modular group should be extended to its metaplectic covering group for consistency. We introduce the well-defined half-integral weight modular forms… read more here.
Keywords: integral weight; modular forms; weight modular; half integral ... See more keywords
Quantum unique ergodicity for half-integral weight automorphic forms
Sign Up to like & getrecommendations! Published in 2020 at "Duke Mathematical Journal"
DOI: 10.1215/00127094-2019-0040
Abstract: We investigate the analogue of the Quantum Unique Ergodicity (QUE) conjecture for half-integral weight automorphic forms. Assuming the Generalized Riemann Hypothesis (GRH) we establish QUE for both half-integral weight holomorphic Hecke cusp forms for Γ_0(4)… read more here.
Keywords: integral weight; quantum unique; half integral; unique ergodicity ... See more keywords