On the $L$-function of multiplicative character sums

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Multiplicative character sums with twice-differentiable functions

For a nontrivial multiplicative character χ modulo p, we bound character sums Sf (χ;N) = N ∑ n=1 χ(⌊f(n)⌋) taken on the integer parts of a real-valued, twice-differentiable function f whose second derivative decays at an appropriate rate. For the special case that f(x) = xη with some positive real number η, our bounds extend recent results of several authors. Mathematics Subject Classification ...

متن کامل

Estimates for \nonsingular" Multiplicative Character Sums

Let k be a nite eld of characteristic p and cardinality q, a nontrivial C -valued additive character of k, and a nontrivial C -valued multiplicative character of k . We extend to a function on all of k by de ning (0) := 0: Recall that, given an integer n, a number 2 C is said to be pure of weight n (relative to q) if it and all its Aut(C =Q)-conjugates have absolute value p q. Such an is necess...

متن کامل

Multiplicative Character Sums with the Sum of g-ary Digits Function

We establish upper bounds for multiplicative character sums with the function σg(n) which computes the sum of the digits of n in a fixed base g ≥ 2. Our results may be viewed as analogues of some previously known results for exponential sums with sum of g-ary digits function. MSC Numbers: 11L40, 11A63.

متن کامل

Bounds of Multiplicative Character Sums with Fermat Quotients of Primes

Given a prime p, the Fermat quotient qp(u) of u with gcd(u, p)= 1 is defined by the conditions qp(u)≡ u p−1 − 1 p mod p, 0≤ qp(u)≤ p − 1. We derive a new bound on multiplicative character sums with Fermat quotients qp(`) at prime arguments `. 2010 Mathematics subject classification: primary 11A07; secondary 11L40, 11N25.

متن کامل

Multiplicative Character Sums of Recurring Sequences with Rédei Functions

We prove a new bound for multiplicative character sums of nonlinear recurring sequences with Rédei functions over a finite field of prime order. This result is motivated by earlier results on nonlinear recurring sequences and their application to the distribution of powers and primitive elements. The new bound is much stronger than the bound known for general nonlinear recurring sequences.

متن کامل

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: Transactions of the American Mathematical Society

سال: 2012

ISSN: 0002-9947,1088-6850

DOI: 10.1090/s0002-9947-2012-05279-2