期刊： ARCHIV DER MATHEMATIK, 2023; 120 (3)
For an integer p > 2, let [x(n)}(n is an element of N) subset of T be the p-adic van der Corput sequence. For intervals [0, alpha) subset of T and ......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (5-6)
The coarea formula is of crucial importance in analysis and has numerous applications in a variety of deep problems. Here we give a modern proof and d......
期刊： ARCHIV DER MATHEMATIK, 2023; ()
In this paper, we use some of our previous results to improve an upper bound of Bayer-Fluckiger, Borello, and Jossen on the Euclidean minima of algebr......
期刊： ARCHIV DER MATHEMATIK, 2023; ()
An irreducible complex character chi of a finite group G has associated a natural number f chi, which is the smallest positive integer n such that all......
期刊： ARCHIV DER MATHEMATIK, 2023; 120 (3)
Let X subset of P-3 be a very general hypersurface of degree >= 5. In this paper, using two different methods, we study the existence of certain ra......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (3)
In this paper, we mainly confirm the following conjecture of Sun posed in 2013: Each positive integer n can be written as n = x + y + z with x, y, z p......
期刊： ARCHIV DER MATHEMATIK, 2023; 120 (3)
Let Q(8) be the quaternion group of order 8 and chi its faithful irreducible character. Then chi can be realized over certain imaginary quadratic numb......
期刊： ARCHIV DER MATHEMATIK, 2023; 120 (4)
In this paper, we study the expectation values of topological invariants of the Vietoris-Rips complex and Cech complex for a finite set of sample poin......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (1)
Let X be a class of finite groups closed under subgroups, homomorphic images, and extensions. We study the question which goes back to the lectures of......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (3)
Let M be an n-dimensional (n = 4) compact Willmore (or extremal) submanifold in the unit sphere Sn+p. Denote by Ric and H the Ricci curvature and the ......
期刊： ARCHIV DER MATHEMATIK, 2023; 120 (3)
A symmetry of a Hamiltonian system is a symplectic or anti-symplectic involution which leaves the Hamiltonian invariant. For the planar and spatial Hi......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (1)
We consider the damped Newton method for strongly monotone and Lipschitz continuous operator equations in a variational setting. We provide a very acc......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (1)
We investigate groups with submodular primary subgroups. We establish that a primary subgroup H of a soluble group G is submodular if and only if H is......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (3)
In this work, we study the rigidity problem for the logarithmic Sobolev inequality on a complete metric measure space (M-n,g,f)with Bakry-Emery Ricci ......
期刊： ARCHIV DER MATHEMATIK, 2023; 121 (4)
In this paper, we study the symplectic cohomologies and symplectic harmonic forms. Based on this, we establish a vanishing theorem on the L-2 harmonic......
