The Covering Method for Exponential Sums and Some Applications

نویسندگان

چکیده

برای دانلود رایگان 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

A Survey of Algebraic Exponential Sums and Some Applications

This survey is a written and slightly expanded version of the talk given at the ICMS workshop on motivic integration and its interactions with model theory and non-archimedean geometry. Its presence may seem to require a few preliminary words of explanation: not only does the title apparently fail to reflect any of the three components of that of the conference itself, but also the author is fa...

متن کامل

The Lomax-Exponential Distribution, Some Properties and Applications

Abstract: The exponential distribution is a popular model in applications to real data. We propose a new extension of this distribution, called the Lomax-exponential distribution, which presents greater flexibility to the model. Also there is a simple relation between the Lomax-exponential distribution and the Lomax distribution. Results for moment, limit behavior, hazard function, Shannon entr...

متن کامل

DiophantineMethods for Exponential Sums, and Exponential Sums for Diophantine Problems

Recent developments in the theory and application of the HardyLittlewood method are discussed, concentrating on aspects associated with diagonal diophantine problems. Recent efficient differencing methods for estimating mean values of exponential sums are described first, concentrating on developments involving smooth Weyl sums. Next, arithmetic variants of classical inequalities of Bessel and ...

متن کامل

Explicit evaluation of some exponential sums

Let m be a positive integer, let r be a prime such that 2 is a primitive root modulo r, and let q = 2(r−1)r m−1 . In this note a binomial exponential sum over Fq which assumes 3 2 log2 q + 2 distinct values is explicitly evaluated and its value distribution is determined.

متن کامل

An exact renormalization formula for Gaussian exponential sums and applications

Such sums have been the object of many studies (see e.g. [9, 6, 10, 13, 14]) and have applications in various fields of mathematics and physics. In the present paper, we prove a renormalization formula (see Theorem 2.1) analogous to the one first introduced in [9]. In our formula, the “remainder term” is given explicitly by a special function (see section 1). We use this renormalization formula...

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: Notices of the American Mathematical Society

سال: 2020

ISSN: 0002-9920,1088-9477

DOI: 10.1090/noti2073