On a problem of Yamamoto concerning biquadratic Gauss sums, II
نویسندگان
چکیده
منابع مشابه
On Gauss-Jacobi sums
In this paper, we introduce a kind of character sum which simultaneously generalizes the classical Gauss and Jacobi sums, and show that this “Gauss-Jacobi sum” also specializes to the Kloosterman sum in a particular case. Using the connection to the Kloosterman sums, we obtain in some special cases the upper bound (the “Weil bound”) of the absolute values of the Gauss-Jacobi sums. We also discu...
متن کاملA hybrid mean value involving a new Gauss sums and Dedekind sums
In this paper, we introduce a new sum analogous to Gauss sum, then we use the properties of the classical Gauss sums and analytic method to study the hybrid mean value problem involving this new sums and Dedekind sums, and give an interesting identity for it.
متن کاملSome Results on Gauss Sums
is again a Dirichlet character modulo n. In fact, the set of Dirichlet characters modulo n is again a multiplicative group, called the dual group of (Z/nZ)× and denoted ̂ (Z/nZ)×. The identity element of the dual group, mapping every element of (Z/nZ)× to 1, is the trivial character modulo n, denoted 1n or just 1 when n is clear, Since (Z/nZ)× is a finite group the values taken by any Dirichlet ...
متن کاملThe Inverse Problem on Subset Sums, II
For a set T of integers, let P (T ) be the set of all finite subset sums of T , and let T (x) be the set of all integers of T not exceeding x. Let B = {b1 < b2 < · · · } be a sequence of integers and d1 = 10, d2 = 3b1 + 4, and dn = 3bn−1 + 2 (n ≥ 3). In this paper, we prove that (i) if bn > dn for all n ≥ 1, then there exists a sequence of positive integers A = {a1 < a2 < · · · } such that, for...
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: Journal of the Mathematical Society of Japan
سال: 1988
ISSN: 0025-5645
DOI: 10.2969/jmsj/04040647