All Research Papers Published In Expositiones Mathematicae

Research Article
10.1016/j.exmath.2023.03.002

On Hasse’s inequality

Mar 28, 2023
Expositiones Mathematicae
M Ram Murty

Research Article
2
10.1016/j.exmath.2023.02.003

On three general forms of multiple zeta(-star) values

Feb 17, 2023
Expositiones Mathematicae
Kwang-Wu Chen + 1 more +1

Research Article
10.1016/j.exmath.2022.12.002

Approximations of the Riley slice

Jan 10, 2023
Expositiones Mathematicae
Alex Elzenaar + 2 more +2

Research Article
6
10.1016/j.exmath.2022.07.006

De Moivre and Bell polynomials

Nov 04, 2022
Expositiones Mathematicae
Cormac O’sullivan

Research Article
4
10.1016/j.exmath.2022.08.005

Hodge–de Rham numbers of almost complex 4-manifolds

Nov 04, 2022
Expositiones Mathematicae
Joana Cirici + 1 more +1

We introduce and study Hodge–de Rham numbers for compact almost complex 4-manifolds, generalizing the Hodge numbers of a complex surface. The main properties of these numbers in the case of complex surfaces are extended to this more general setting, and it is shown that all Hodge–de Rham numbers for compact almost complex 4-manifolds are determined by the topology, except for one (the irregularity). Finally, these numbers are shown to prohibit the existence of complex structures on certain manifolds, without reference to the classification of surfaces.

Research Article
6
10.1016/j.exmath.2022.07.002

Controlling monotonicity of nonlinear operators

Aug 20, 2022
Expositiones Mathematicae
Michał Borowski + 1 more +1

Controlling the monotonicity and growth of Leray–Lions’ operators including the p-Laplacian plays a fundamental role in the theory of existence and regularity of solutions to second order nonlinear PDEs. We collect, correct, and supply known estimates including the discussion on the constants. Moreover, we provide a comprehensive treatment of related results for operators with Orlicz growth. We pay special attention to exposition of the proofs and the use of elementary arguments.

Research Article
11
10.1016/j.exmath.2022.06.002

Pythagoras numbers of orders in biquadratic fields

Jul 02, 2022
Expositiones Mathematicae
Jakub Krásenský + 2 more +2

Research Article
10.1016/j.exmath.2022.05.001

Strictly positive definite functions by integral transforms

May 19, 2022
Expositiones Mathematicae
W Franca + 1 more +1

Research Article
1
10.1016/j.exmath.2022.03.001

On the Pila–Wilkie theorem

Mar 12, 2022
Expositiones Mathematicae
Neer Bhardwaj + 1 more +1

Research Article
6
10.1016/j.exmath.2022.02.002

The classical limit and spontaneous symmetry breaking in algebraic quantum theory

Feb 24, 2022
Expositiones Mathematicae
Christiaan J.f Van De Ven