Algorithms and tools for iterated Eisenstein integrals

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

Double Integrals and Iterated Integrals

Corresponding material in the book: Section 15.2, 15.3. Note: We are omitting the question types from the book that require three-dimensional visualization, i.e., those that require sketching figures in three dimensions to compute volumes. What students should definitely get: The procedure for computing double integrals over rectangles using iterated integrals, the procedure for computing doubl...

متن کامل

Algorithms for Chow-Heegner points via iterated integrals

Let E/Q be an elliptic curve of conductor N and let f be the weight 2 newform on Γ0(N) associated to it by modularity. Building on an idea of S. Zhang, an article by Darmon, Rotger, and Sols describes the construction of so-called Chow-Heegner points, PT,f ∈ E(Q̄), indexed by algebraic correspondences T ⊂ X0(N) × X0(N). It also gives an analytic formula, depending only on the image of T in cohom...

متن کامل

Error Distribution for Iterated Integrals

Abstract: In earlier work we demonstrated that iterated numerical integration outperforms ”standard” multivariate integration techniques for various function classes with singularities inside the domain of integration. We focus on the accuracy requirements to be applied in different directions or combinations of directions of iterated integrals. The integrals are approximated numerically in an ...

متن کامل

Iterated Path Integrals

The classical calculus of variation is a critical point theory of certain differentiable functions (or functional) on a smooth or piecewise smooth path space, whose differentiable structure is defined implicitly. Because of the importance of path spaces to analysis, geometry and other fields, it is desirable to develop a geometric integration theory or a de Rham theory for path spaces. Having i...

متن کامل

Knot Invariants and Iterated Integrals

We give precise formulae for the coeecients of Drin-feld's KZ associator in terms of iterated integrals over the unit interval. These formulae are used to calculate Kontsevich's universal knot invariant for (2; p)-torus knots up to the 4-th order. There are already several combinatorial descriptions of Kontsevich's universal knot invariant Ko] in terms of Drinfeld's work on quasi-triangular qua...

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: Journal of High Energy Physics

سال: 2020

ISSN: 1029-8479

DOI: 10.1007/jhep02(2020)105