The Ronkin number of an exponential sum
نویسندگان
چکیده
منابع مشابه
The unit sum number of discrete modules
In this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $Z_{2}$. We also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.
متن کاملThe unit sum number of Baer rings
In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of R is isomorphic to Z_2 and we characterize regular Baer rings with unit sum numbers $omega$ and $infty$. Then as an application, we discuss the unit sum number of some classes of group rings.
متن کاملThe Lifting of an Exponential Sum to a Cyclic Algebraic Number Field of a Prime Degree
Let E be a cyclic algebraic number eld of a prime degree. We prove an identity which lifts an exponential sum similar to the Kloosterman sum to an exponential sum taken over certain algebraic integers in E.
متن کاملThe Lifting of an Exponential Sum to a Cyclic Algebraic Number Field of Prime Degree
Let E be a cyclic algebraic number field of prime degree. We prove an identity which lifts an exponential sum similar to the Kloosterman sum to an exponential sum taken over certain algebraic integers in E.
متن کاملthe unit sum number of discrete modules
in this paper, we show that every element of a discrete module is a sum of two units if and only if its endomorphism ring has no factor ring isomorphic to $z_{2}$. we also characterize unit sum number equal to two for the endomorphism ring of quasi-discrete modules with finite exchange property.
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ژورنال
عنوان ژورنال: Mathematische Nachrichten
سال: 2012
ISSN: 0025-584X
DOI: 10.1002/mana.201000130