Explicit formulae for linear characters of Γ0(N)
Sign Up to like & getrecommendations! Published in 2024 at "Communications in Algebra"
DOI: 10.1080/00927872.2025.2488029
Abstract: Abstract We give explicit formulae for a class of complex linear unitary characters of the congruence subgroups Γ0(N) which involve a variant of Rademacher’s Ψ function. We then prove that these characters cover all characters… read more here.
Keywords: linear characters; explicit formulae; formulae linear;
Explicit formulae for the generalized drazin inverse of block matrices over a Banach algebra
Sign Up to like & getrecommendations! Published in 2018 at "Filomat"
DOI: 10.2298/fil1817907z
Abstract: In this paper, we give expressions for the generalized Drazin inverse of a (2,2,0) block matrix over a Banach algebra under certain circumstances, utilizing which we derive the generalized Drazin inverse of a 2× 2… read more here.
Keywords: drazin inverse; inverse block; banach algebra; generalized drazin ... See more keywords
New explicit formulae for the settling speed of prolate spheroids in the atmosphere: theoretical background and implementation in AerSett v2.0.2
Sign Up to like & getrecommendations! Published in 2024 at "Geoscientific Model Development"
DOI: 10.5194/gmd-17-5641-2024
Abstract: Abstract. We propose two explicit expressions to calculate the settling speed of solid atmospheric particles with prolate spheroidal shapes under the hypothesis of horizontal and vertical orientation. The first formulation is based on theoretical arguments… read more here.
Keywords: explicit formulae; settling speed; speed; formulae settling ... See more keywords