Results 31 to 40 of about 66,173 (139)
Riemann zeta functions for Krull monoids [PDF]
Journal of Number TheoryThe primary purpose of this paper is to generalize the classical Riemann zeta function to the setting of Krull monoids with torsion class groups. We provide a first study of the same generalization by extending Euler's classical product formula to the ...
Felix Gotti, Ulrich Krause
semanticscholar +1 more source
The Mathematical History Behind the Granger–Johansen Representation Theorem
Oxford Bulletin of Economics and Statistics, EarlyView.ABSTRACT When can a vector time series that is integrated once (i.e., becomes stationary after taking first differences) be described in error correction form? The answer to this is provided by the Granger–Johansen representation theorem. From a mathematical point of view, the theorem can be viewed as essentially a statement concerning the geometry of ...
Johannes M. Schumacher
wiley +1 more source
Discrete logarithms in curves over finite fields [PDF]
, 2007 A survey on algorithms for computing discrete logarithms in Jacobians of curves over finite ...
Andreas Enge +4 more
core +5 more sources
School Science and Mathematics, EarlyView.ABSTRACT This study investigates the impact of problem‐posing on the mathematical proficiency and engagement of 56 Developmental Mathematics (DM) students enrolled in a noncredit college mathematics course. Using a quasi‐experimental design, one of two existing classes was selected as the experimental group and received a 5‐week intervention focused on
John Sevier +2 more
wiley +1 more source
Exploring 2D Geometric Shape Classification Using AI‐Driven Feature Tables in Mathematics
School Science and Mathematics, EarlyView.ABSTRACT This study explored the effectiveness of an AI‐integrated instructional task designed to enhance preservice teachers' understanding of the features and hierarchical relationships of 2D geometric shapes. Originally developed and tested in online K‐12 professional development settings, this intervention was adapted for in‐person preservice ...
Yasemin Gunpinar, Woonhee Sung
wiley +1 more source
Grammatical structures in mathematics: a personal view
Teaching Statistics, EarlyView.Abstract The ability to read, write, and speak mathematics is critical to students becoming comfortable with statistical models and skills. Faster development of those skills may act as encouragement to further engage with the discipline. Vocabulary has been the focus of scholarship in existing literature on the linguistics of mathematics and ...
Tess O'Brien
wiley +1 more source
Quadratic Forms and Related Structures over Fields
Oberwolfach Reports, 2019 . The range of topics discussed at the workshop “Quadratic Forms and Related Structures over Fields” included core themes from the algebraic theory of quadratic and hermitian forms and their Witt groups, several aspects of the theory of linear algebraic ...
K. Becher +2 more
semanticscholar +1 more source
Brain and Behavior, Volume 16, Issue 5, May 2026.This study examines the association between urban aesthetic perception and white matter microstructure in healthy adults. Diffusion tensor imaging reveals that both whole‐brain fractional anisotropy and superior longitudinal fasciculus integrity are positively related to subjective evaluations of urban aesthetic quality, suggesting that everyday ...
Keisuke Kokubun +3 more
wiley +1 more source
Moderate Deviation Principles for Lacunary Trigonometric Sums
Mathematische Nachrichten, Volume 299, Issue 5, Page 1028-1044, May 2026.ABSTRACT Classical works of Kac, Salem, and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of independent and identically distributed random variables. For instance, they satisfy a central limit theorem (CLT) and a law of the iterated logarithm.
Joscha Prochno, Marta Strzelecka
wiley +1 more source
Robust Inverse Material Design With Physical Guarantees Using the Voigt‐Reuss Net
International Journal for Numerical Methods in Engineering, Volume 127, Issue 7, 15 April 2026.ABSTRACT We apply the Voigt‐Reuss net, a spectrally normalized neural surrogate introduced in [38], for forward and inverse mechanical homogenization with a key guarantee that all predicted effective stiffness tensors satisfy Voigt‐Reuss bounds in the Löwner sense during training, inference, and gradient‐driven optimization.
Sanath Keshav, Felix Fritzen
wiley +1 more source