منابع مشابه
On the distribution of the order and index of g(mod p) over residue classes II
For a fixed rational number g 6∈ {−1, 0, 1} and integers a and d we consider the set Ng(a, d) of primes p for which the order of g(mod p) is congruent to a(mod d). It is shown, assuming the Generalized Riemann Hypothesis (GRH), that this set has a natural density δg(a, d). Moreover, δg(a, d) is computed in terms of degrees of certain Kummer extensions. Several properties of δg(a, d) are establi...
متن کاملOn the distribution of the order and index of g(mod p) over residue classes
For a fixed rational number g 6∈ {−1, 0, 1} and integers a and d we consider the set Ng(a, d) of primes p for which the order of g(mod p) is congruent to a(mod d). For d = 4 and d = 3 we show that, under the Generalized Riemann Hypothesis (GRH), these sets have a natural density δg(a, d) and compute it. The results for d = 4 generalise earlier work by Chinen and Murata. The case d = 3 was appar...
متن کاملOn the distribution of the order and index of g(mod p) over residue classes III
For a fixed rational number g 6∈ {−1, 0, 1} and integers a and d we consider the sets Ng(a, d), respectively Rg(a, d), of primes p for which the order, respectively the index of g(mod p) is congruent to a(mod d). Under the Generalized Riemann Hypothesis (GRH), it is known that these sets have a natural density δg(a, d), respectively ρg(a, d). It is shown that these densities can be expressed as...
متن کاملOn the Addition of Residue Classes Modp By
In this paper we investigate the following question. Let p be a prime, a,, " ', cck distinct non-zero residue classes modp, N a residue class modp. denote Dhe number of solutions of the congruence ela,+... + ekak = N(modp) where the e,,. .. , ek are restricted to the values 0 and 1, What can be said about the function J?(N)? We prove two theorems. THEOREM I. 14 " (X) > 0 if k > 3 (6;~) " ~. THE...
متن کاملthe impact of attending efl classes on the level of depression of iranian female learners and their attributional complexity
می توان گفت واقعیت چند لایه ا ی کلاس های زبان انگلیسی بسیار حائز اهمیت است، زیرا عواطف و بینش های زبان آموزان تحت تاثیر قرار می گیرد. در پژوهش پیش رو، گفته می شود که دبیران با در پیش گرفتن رویکرد فرا-انسانگرایی ، قادرند در زندگی دانش آموزانشان نقش مهمی را ایفا سازند. بر اساس گفته ی ویلیامز و بردن (2000)، برای کرل راجرز، یکی از بنیان گذاران رویکرد انسانگرایی ، یادگیری بر مبنای تجربه، نوعی از یاد...
ذخیره 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: Acta Arithmetica
سال: 1964
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-9-2-149-159