MOTIVIC DOUBLE SHUFFLE
نویسندگان
چکیده
منابع مشابه
Double Shuffle Relations of Euler Sums
Abstract. In this paper we shall develop a theory of (extended) double shuffle relations of Euler sums which generalizes that of multiple zeta values (see Ihara, Kaneko and Zagier, Derivation and double shuffle relations for multiple zeta values. Compos. Math. 142 (2)(2006), 307–338). After setting up the general framework we provide some numerical evidence for our two main conjectures. At the ...
متن کاملDouble shuffle relations of double zeta values and the double Eisenstein series at level N
In their seminal paper, Gangl, Kaneko and Zagier defined a double Eisenstein series and used it to study the relations between double zeta values. One of their key ideas is to study the formal double space and apply the double shuffle relations. They also proved the double shuffle relations for the double Eisenstein series. More recently, Kaneko and Tasaka extended the double Eisenstein series ...
متن کاملDouble Shuffle Relations of Special Values of Multiple Polylogarithms
In this paper we shall study the special values of multiple polylogarithms atmth roots of unity, called multiple polylogarithmic values (MPVs) of depth m. These objects are generalizations of multiple zeta values and alternating Euler sums. Our primary goal is to investigate the relations between the special values by using (extended) double shuffle relations. In particular we want to know for ...
متن کاملConstructible motivic functions and motivic integration
1.1. In this paper, intended to be the first in a series, we lay new general foundations for motivic integration and give answers to some important issues in the subject. Since its creation by Maxim Kontsevich [23], motivic integration developed quickly and has spread out in many directions. In a nutshell, in motivic integration, numbers are replaced by geometric objects, like virtual varieties...
متن کاملMotivic E∞-algebras and the Motivic Dga
In this paper we define an E∞-structure, i.e. a coherently homotopy associative and commutative product on chain complexes defining (integral and mod-l) motivic cohomology as well as mod -l étale cohomology. We also discuss several applications.
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: International Journal of Number Theory
سال: 2010
ISSN: 1793-0421,1793-7310
DOI: 10.1142/s1793042110002995