On Eisenstein series and $\sum _{m,n=-\infty }^{\infty } q^{m^2+mn+2n^2}$

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

Gauss Sum Combinatorics and Metaplectic Eisenstein Series

1.1. Steve Gelbart, Whittaker models and the metaplectic group. The metaplectic double cover of Sp(2r) and the Weil representation were introduced by Weil [37] in order to formulate results of Siegel on theta functions in the adelic setting. This was followed by two initially independent developments. First, Shimura [32], [33] gave two extremely important constructions involving modular forms o...

متن کامل

A class of $L_1$-to-$L_1$ and $L_\infty$-to-$L_\infty$ interval observers for (delayed) Markov jump linear systems

We exploit recent results on the stability and performance analysis of positive Markov jump linear systems (MJLS) for the design of interval observers for MJLS with and without delays. While the conditions for the L1 performance are necessary and sufficient, those for the L∞ performance are only sufficient. All the conditions are stated as linear programs that can be solved very efficiently. Tw...

متن کامل

Sorting Under 1-$\infty$ Cost Model

In this paper we study the problem of sorting under nonuniform comparison costs, where costs are either 1 or ∞. If comparing a pair has an associated cost of ∞ then we say that such a pair cannot be compared (forbidden pairs). Along with the set of elements V (n = |V |) the input to our problem is a graph G(V,E), whose edges represents the pairs that we can compare incurring unit cost. We let E...

متن کامل

Multidimensional $\beta$-skeletons in $L_1$ and $L_{\infty}$ metric

The β-skeleton {Gβ(V )} for a point set V is a family of geometric graphs, defined by the notion of neighborhoods parameterized by real number 0 < β < ∞. By using the distance-based version definition of β-skeletons we study those graphs for a set of points in R d space with l1 and l∞ metrics. We present algorithms for the entire spectrum of β values and we discuss properties of lens-based and ...

متن کامل

On the SIG dimension of trees under $L_{\infty}$ metric

Let P , where |P| ≥ 2, be a set of points in d-dimensional space with a given metric ρ. For a point p ∈ P , let rp be the distance of p with respect to ρ from its nearest neighbour in P . Let B(p, rp) be the open ball with respect to ρ centered at p and having the radius rp. We define the sphere-of-influence graph (SIG) of P as the intersection graph of the family of sets {B(p, rp) | p ∈ P}. Gi...

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: Proceedings of the American Mathematical Society

سال: 1999

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-99-04832-7