Equivariant motivic integration and proof of the integral identity conjecture for regular functions
Sign Up to like & getrecommendations! Published in 2018 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01940-2
Abstract: We develop Denef–Loeser’s motivic integration to an equivariant version and use it to prove the full integral identity conjecture for regular functions. In comparison with Hartmann’s work, the equivariant Grothendieck ring defined in this article… read more here.
Keywords: conjecture regular; identity conjecture; conjecture; integral identity ... See more keywords
A proof of the integral identity conjecture, II
Sign Up to like & getrecommendations! Published in 2017 at "Comptes Rendus Mathematique"
DOI: 10.1016/j.crma.2017.10.005
Abstract: Abstract In this note, using Cluckers–Loeser's theory of motivic integration, we prove the integral identity conjecture with framework a localized Grothendieck ring of varieties over an arbitrary base field of characteristic zero. read more here.
Keywords: integral identity; identity conjecture; proof integral;
A new q-integral identity and estimation of its bounds involving generalized exponentially μ-preinvex functions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Difference Equations"
DOI: 10.1186/s13662-020-03036-7
Abstract: In the article, we introduce the generalized exponentially μ -preinvex function, derive a new q -integral identity for second order q -differentiable function, and establish several new q -trapezoidal type integral inequalities for the function… read more here.
Keywords: new integral; integral identity; generalized exponentially; exponentially preinvex ... See more keywords