Results 21 to 30 of about 117,201 (178)
A new formulation of the law of octic reciprocity for primes ≡±3(mod8) and its consequences
International Journal of Mathematics and Mathematical Sciences, 1982 Let p and q be odd primes with q≡±3(mod8), p≡1(mod8)=a2+b2=c2+d2 and with the signs of a and c chosen so that a≡c≡1(mod4). In this paper we show step-by-step how to easily obtain for large q necessary and sufficient criteria to have (−1(q−1)/2q(p−1)/8≡(a−
Richard H. Hudson, Kenneth S. Williams
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Growth of values of binary quadratic forms and Conway rivers [PDF]
Bulletin of the London Mathematical Society, 2018 K. Spalding, А. П. Веселов
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Poincare series for the algebras of joint invariants and covariants of $n$ quadratic forms
Karpatsʹkì Matematičnì Publìkacìï, 2017 We consider one of the fundamental problems of classical invariant theory - the research of Poincare series for an algebra of invariants of Lie group $SL_2$.
N.B. Ilash
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International Journal of Mathematics and Mathematical Sciences, 2012 A basis of 𝑆4(Γ0(47)) is given and the formulas for the number of representations of positive integers by some direct sum of the quadratic forms 𝑥21+𝑥1𝑥2+12𝑥22, 2𝑥21±𝑥1𝑥2+6𝑥22, 3𝑥21±𝑥1𝑥2+4𝑥22 are determined.
Barış Kendirli
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STARK POINTS AND $p$-ADIC ITERATED INTEGRALS ATTACHED TO MODULAR FORMS OF WEIGHT ONE
Forum of Mathematics, Pi, 2015 Let $E$ be an elliptic curve over $\mathbb{Q}$, and let ${\it\varrho}_{\flat }$ and ${\it\varrho}_{\sharp }$ be odd two-dimensional Artin representations for which ${\it\varrho}_{\flat }\otimes {\it\varrho}_{\sharp }$ is self-dual.
HENRI DARMON, ALAN LAUDER, VICTOR ROTGER
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Better Autologistic Regression
Frontiers in Applied Mathematics and Statistics, 2017 Autologistic regression is an important probability model for dichotomous random variables observed along with covariate information. It has been used in various fields for analyzing binary data possessing spatial or network structure.
Mark A. Wolters
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Quaternions and binary quadratic forms [PDF]
Proceedings of the American Mathematical Society, 1971 Methods are discussed for studying binary quadratic forms by use of quaternions derived from the ternary quadratic form f = x 2 − y z f = {x^2} - yz .
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Quadratic involutions on binary forms
Michigan Mathematical Journal, 2012 There is a classical geometric construction which uses a binary quadratic form to define an involution on the space of binary d-ics. We give a complete characterization of a general class of such involutions which are definable using compound transvectant formulae. We also study the associated varieties of forms which are preserved by such involutions.
Abdesselam, Abdelmalek +1 more
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Discrete Analysis, 2017 From a packing problem to quantitative recurrence in [0,1] and the Lagrange spectrum of interval exchanges, Discrete Analysis 2017:10, 25 pp. A basic fact in the theory of Diophantine approximation is Dirichlet's theorem that for every real number ...
Michael Boshernitzan, Vincent Delecroix
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Gauss Composition for P^1, and the universal Jacobian of the Hurwitz space of double covers
, 2016 We investigate the universal Jacobian of degree n line bundles over the Hurwitz stack of double covers of P^1 by a curve of genus g. Our main results are: the construction of a smooth, irreducible, universally closed (but not separated) moduli ...
Altman +45 more
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