Results 1 to 10 of about 6,762,809 (278)
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
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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
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Computation on elliptic curves with complex multiplication [PDF]
LMS J. Comput. Math., 2013 We give the complete list of possible torsion subgroups of elliptic curves with complex multiplication over number elds of degree 1-13. Addi- tionally we describe the algorithm used to compute these torsion subgroups and its implementation.
P. L. Clark +3 more
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String-Theory Realization of Modular Forms for Elliptic Curves with Complex Multiplication [PDF]
Communications in Mathematical Physics, 2018 It is known that the L-function of an elliptic curve defined over Q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek ...
S. Kondo, T. Watari
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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
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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
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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
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Complex Multiplication in Twistor Spaces [PDF]
International mathematics research notices, 2019 Despite the transcendental nature of the twistor construction, the algebraic fibres of the twistor space of a K3 surface share certain arithmetic properties.
D. Huybrechts
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Galois representations attached to elliptic curves with complex multiplication [PDF]
Algebra & Number Theory, 2018 The goal of this article is to give an explicit classification of the possible $p$-adic Galois representations that are attached to elliptic curves $E$ with CM defined over $\mathbb{Q}(j(E))$.
'Alvaro Lozano-Robledo
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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
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