Extended prime spots and quadratic forms
نویسندگان
چکیده
منابع مشابه
Prime sieves using binary quadratic forms
We introduce an algorithm that computes the prime numbers up to N using O(N/log logN) additions and N1/2+o(1) bits of memory. The algorithm enumerates representations of integers by certain binary quadratic forms. We present implementation results for this algorithm and one of the best previous algorithms.
متن کاملApplications of quadratic D-forms to generalized quadratic forms
In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.
متن کاملRepresentation of Prime Powers by Binary Quadratic Forms
In this article, we consider the representation of prime powers by binary quadratic forms of discriminant D = −2q1 . . . qt where the product of primes q1 . . . qt ≡ 3 (mod 4), for instance if it is of special RichaudDegert type n2 ± 2 for odd n’s, n2 − 1 for even n’s. We consider all the ambiguous classes and Q( √|D0|), where D0 is the fundamental discriminant and we obtain a general criterion...
متن کاملThe Connection between Quadratic Forms and the Extended Modular Group
In this paper some properties of quadratic forms whose base points lie in the point set F Π , the fundamental domain of the modular group, and transforming these forms into the reduced forms with the same discriminant ∆ < 0 are given.
متن کاملThe Multivariate Extended Skew Normal Distribution and Its Quadratic Forms
In this talk, the class of multivariate extended skew normal distributions is introduced. The properties of this class of distributions, such as, the moment generating function, probability density function, conditional probability density functions and independence are discussed. The definition of extended noncentral skew chi-square distribution is given. The necessary and sufficient condition...
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: Pacific Journal of Mathematics
سال: 1974
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1974.51.379