منابع مشابه
Cubic and quartic congruences modulo a prime
Let p43 be a prime, and Npð f ðxÞÞ denote the number of solutions of the congruence f ðxÞ 0 ðmod pÞ: In this paper, using the third-order recurring sequences we determine the values of Npðx þ a1x þ a2x þ a3Þ and Npðx þ ax þ bx þ cÞ; and construct the solutions of the corresponding congruences, where a1; a2; a3; a; b; c are integers. r 2003 Elsevier Science (USA). All rights reserved. MSC: Prima...
متن کاملPositive Definite Quadratic Forms, Elliptic Curves and Cubic Congruences
Let F (x, y) = ax + bxy + cy be a positive definite binary quadratic form with discriminant Δ whose base points lie on the line x = −1/m for an integer m ≥ 2, let p be a prime number and let Fp be a finite field. Let EF : y = ax + bx + cx be an elliptic curve over Fp and let CF : ax + bx + cx ≡ 0(mod p) be the cubic congruence corresponding to F . In this work we consider some properties of pos...
متن کاملINHOMOGENEOUS CUBIC CONGRUENCES AND RATIONAL POINTS ON DEL PEZZO SURFACES by
— For given non-zero integers a, b, q we investigate the density of solutions (x, y) ∈ Z to the binary cubic congruence ax + by ≡ 0 mod q, and use it to establish the Manin conjecture for a singular del Pezzo surface of degree 2 defined over Q.
متن کاملFuzzy order congruences on fuzzy posets
Fuzzy order congruences play an important role in studying the categoricalproperties of fuzzy posets. In this paper, the correspondence between the fuzzyorder congruences and the fuzzy order-preserving maps is discussed. We focus onthe characterization of fuzzy order congruences on the fuzzy poset in terms ofthe fuzzy preorders containing the fuzzy partial order. At last, fuzzy completecongruen...
متن کاملOn Congruences Mod
Given a prime p and cusp forms f1 and f2 on some Γ1(N) that are eigenforms outside Np and have coefficients in the ring of integers of some number field K, we consider the problem of deciding whether f1 and f2 have the same eigenvalues mod p (where p is a fixed prime of K over p) for Hecke operators Tl at all primes l ∤Np. When the weights of the forms are equal the problem is easily solved via...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1933
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1933-05785-3