Results 1 to 10 of about 7,729,894 (182)
Level crossings, attractor points and complex multiplication [PDF]
Journal of High Energy Physics, 2023 We study the complex structure moduli dependence of the scalar Laplacian eigenmodes for one-parameter families of Calabi-Yau n-folds in ℙ n+1. It was previously observed that some eigenmodes get lighter while others get heavier as a function of these ...
Hamza Ahmed, Fabian Ruehle
doaj +2 more sources
Supercongruences and Complex Multiplication [PDF]
Journal of Number Theory, 2012 We study congruences involving truncated hypergeometric series of the form_rF_{r-1}(1/2,...,1/2;1,...,1;\lambda)_{(mp^s-1)/2} = \sum_{k=0}^{(mp^s-1)/2} ((1/2)_k/k!)^r \lambda^k where p is a prime and m, s, r are positive integers.
J. Kibelbek +4 more
semanticscholar +3 more sources
Low Complexity Concurrent Error Detection for Complex Multiplication [PDF]
IEEE Transactions on Computers, 2013 This paper studies the problem of designing a low complexity Concurrent Error Detection (CED) circuit for the complex multiplication function commonly used in Digital Signal Processing circuits.
S. Pontarelli +3 more
semanticscholar +4 more sources
Faster quantum subroutine for matrix chain multiplication via Chebyshev approximation [PDF]
Scientific ReportsMatrix operations are crucial to various computational tasks in various fields, and quantum computing offers a promising avenue to accelerate these operations. We present a quantum matrix multiplication (QMM) algorithm that employs amplitude encoding and
Xinying Li +5 more
doaj +2 more sources
The conjecture of Birch and Swinnerton-Dyer for certain elliptic curves with complex multiplication [PDF]
Cambridge Journal of Mathematics, 2022 Let $E/F$ be an elliptic curve over a number field $F$ with complex multiplication by the ring of integers in an imaginary quadratic field $K$. We give a complete proof of the conjecture of Birch and Swinnerton-Dyer for $E/F$, as well as its equivariant ...
Ashay A. Burungale, M. Flach
semanticscholar +1 more source
Class fields generated by coordinates of elliptic curves
Open Mathematics, 2022 Let KK be an imaginary quadratic field different from Q(−1){\mathbb{Q}}\left(\sqrt{-1}) and Q(−3){\mathbb{Q}}\left(\sqrt{-3}). For a nontrivial integral ideal m{\mathfrak{m}} of KK, let Km{K}_{{\mathfrak{m}}} be the ray class field modulo m{\mathfrak{m}}.
Jung Ho Yun, Koo Ja Kyung, Shin Dong Hwa
doaj +1 more source
Fields of definition of K3 surfaces with complex multiplication [PDF]
Journal of Number Theory, 2019 Let X/C be a K3 surface with complex multiplication by the ring of integers of a CM field E. We show that X can always be defined over an Abelian extension K/E explicitly determined by the discriminant form of the lattice NS(X). We then construct a model
Domenico Valloni
semanticscholar +1 more source
Non‐vanishing theorems for central L ‐values of some elliptic curves with complex multiplication [PDF]
Proceedings of the London Mathematical Society, 2018 The paper uses Iwasawa theory at the prime p=2 to prove non‐vanishing theorems for the value at s=1 of the complex L ‐series of certain quadratic twists of the Gross family of elliptic curves with complex multiplication by the field K=Q(−q) , where q is ...
J. Coates, Yong-Xiong Li
semanticscholar +1 more source
Complex multiplication and Brauer groups of K3 surfaces [PDF]
Advances in Mathematics, 2018 Inspired by the classical theory of CM abelian varieties, in this paper we discuss the theory of complex multiplication for K3 surfaces. Let $X$ be a complex K3 surface with complex multiplication by the maximal order $\mathcal{O}_E$ of a CM field $E ...
Domenico Valloni
semanticscholar +1 more source
Extremal primes for elliptic curves without complex multiplication [PDF]
Proceedings of the American Mathematical Society, 2018 Fix an elliptic curve E over Q. An extremal prime for E is a prime p of good reduction such that the number of rational points on E modulo p is maximal or minimal in relation to the Hasse bound.
Chantal David +4 more
semanticscholar +1 more source