Results 41 to 50 of about 130 (120)
Hypergeometric motives from Euler integral representations
Journal of the London Mathematical Society, Volume 113, Issue 2, February 2026.Abstract We revisit certain one‐parameter families of affine covers arising naturally from Euler's integral representation of hypergeometric functions. We introduce a partial compactification of this family. We show that the zeta function of the fibers in the family can be written as an explicit product of L$L$‐series attached to nondegenerate ...
Tyler L. Kelly, John Voight
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IET Communications, Volume 20, Issue 1, January/December 2026.A communication model for collaborative and non‐collaborative scenarios is proposed, where the error correction code used by the transmitter is a cyclic code and the scrambler used is a synchronous scrambler. The contents of the dashed boxes are the tasks of the non‐collaborative receiver and our research targets the contents of the red boxes, that is,
Yong Ding +5 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2026, Issue 1, 2026.For nonzero coprime integers a and b, a positive integer l is said to be good with respect to a and b if there exists a positive integer k such that l divides ak + bk. Since the early 1990s, the notion of good integers has attracted considerable attention from researchers. This continued interest stems from both their elegant number‐theoretic structure
Somphong Jitman, Anwar Saleh Alwardi
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On nilpotent extensions of $\infty$-categories and the cyclotomic trace
, 2020 We do three things in this paper: (1) study the analog of localization sequences (in the sense of algebraic $K$-theory of stable $\infty$-categories) for additive $\infty$-categories, (2) define the notion of nilpotent extensions for suitable $\infty$-categories and furnish interesting examples such as categorical square-zero extensions, and (3) use (1)
Elmanto, Elden, Sosnilo, Vladimir
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On the unramified extensions of the prime cyclotomic number field and its quadratic extensions [PDF]
Nagoya Mathematical Journal, 1989 It is interesting to know what kinds of primes are the factors of the class number of an algebraic number field, and especially to find ones being prime to the degree. About this matter it is desirable to construct the unramified Abelian extensions plainly. In this paper we shall show some of them for the prime cyclotomic number field and its quadratic
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Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
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Modularity of PGL2(𝔽p)-representations over totally real fields. [PDF]
Proc Natl Acad Sci U S A, 2021 Allen PB, Khare CB, Thorne JA.
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A Density of Ramified Primes. [PDF]
Res Number Theory, 2022 Chan S, McMeekin C, Milovic D.
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ANTI-CYCLOTOMIC EXTENSION AND HILBERT CLASS FIELD
Journal of the Chungcheong Mathematical Society, 2012 In this paper, we show how to construct the first layer of anti-cyclotomic -extension of imaginary quadratic fields when the Sylow subgroup of class group of k is 3-elementary, and give an example. This example is different from the one we obtained before in the sense that when we write is obtained from non-units of .
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