Results 31 to 40 of about 2,699,992 (220)
Abelian number fields with frobenian conditions
Mathematika, Volume 72, Issue 4, October 2026.Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
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Uniqueness of meromorphic functions concerning small functions and derivatives-differences
Demonstratio MathematicaIn this article, we study the unicity of meromorphic functions concerning small functions and derivatives-differences. The results obtained in this article extend and improve some results of Chen et al.
He Zhiying, Fang Mingliang, Xiao Jianbin
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ON CLUSTER SETS OF MEROMORPHIC FUNCTIONS [PDF]
Proceedings of the National Academy of Sciences, 1966 and we let W denote the extended w-plane. Classical theorems of W. Gross and F. Iversen state that the boundary of C is contained in Cr, and any point of the open set CCr that is not in R is in A; moreover, R covers CCr with the possible exception of at most two points, and if there are two exceptional points, then R is W minus these two points (see [1]
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An effective Bombieri–Vinogradov error term for sifting problems
Mathematika, Volume 72, Issue 4, October 2026.Abstract In number theory, many major results related to the additive properties of primes are proven using the methods of sieve theory. However, in nearly every case, the existing proofs of these results are ineffective, in that explicit values for which they hold cannot be computed.
Daniel R. Johnston
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A Subclass of Meromorphic Multivalent Functions Generated by a Symmetric q-Difference Operator
MathematicsThis paper presents a novel symmetric q-analogue differential operator designed for meromorphic multivalent functions analytic in the punctured open unit disk.
Vasile-Aurel Caus
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Study about inclusion relationships and integral preserving properties [PDF]
Surveys in Mathematics and its Applications, 2012 The object of the present paper is to investigate a family of integral operators defined on the space of meromorphic functions. By making use of these novel integral operators, we introduce and investigate several new subclasses of starlike, convex ...
Imran Faisal, Maslina Darus
doaj
Towards quantum hierarchy for the Gromov–Witten theory of elliptic curves
Bulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.Abstract We construct the quantum double ramification (DR) hierarchy associated with the Gromov–Witten theory of elliptic curves. We use results of Oberdieck and Pixton on the intersection numbers of the DR cycle, the Gromov–Witten classes of the elliptic curve, and the Hodge class λg−1$\lambda _{g-1}$, together with vanishing results for λg−2$\lambda ...
Paolo Rossi +2 more
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Normal Families and Growth of Meromorphic Functions with Their Kth Derivatives
Journal of Function Spaces, 2018 Relying on the normal family theory, we mainly study uniqueness problems of meromorphic functions and their kth derivatives and estimate sharply the growth order of their meromorphic functions. Our theorems improve some previous results.
Jianming Qi, Fanning Meng, Wenjun Yuan
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Meromorphic Functions Sharing a Small Function [PDF]
Abstract and Applied Analysis, 2007 We will study meromorphic functions that share a small function, and prove the following result: letf(z)andg(z)be two transcendental meromorphic functions in the complex plane and letn≥11be a positive integer. Assume thata(z)(≢0)is a common small function with respect tof(z)andg(z). Iffnf′andgng′sharea(z)CM, then eitherfn(z)f′(z)gn(z)g′(z)≡a2(z), orf(z)
Wang, Songmin, Gao, Zongsheng
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