Results 31 to 40 of about 427 (155)
Hecke-type double sums, Appell-Lerch sums, and mock theta functions (I)
By developing a connection between partial theta functions and Appell-Lerch sums, we find and prove a formula which expresses Hecke-type double sums in terms of Appell-Lerch sums and theta functions.
Andrews +33 more
core +1 more source
Abstract We study control manipulation by generalizing the notion of success in knockout tournaments. The definition of success can be broadened to include other concepts of accomplishment rather than focusing solely on the identity of the tournament winner. Manipulation can be done in favor of diverse stakeholders.
Hadassa Daltrophe +2 more
wiley +1 more source
ABSTRACT This paper advances scholarship on agri‐alternatives by probing the gap between romanticised narratives of how alternative farming transitions ought to be and the actual practices farmers enact in their fields. Focusing on moments when such alternatives encounter on‐the‐ground realities, we propose ambiguous ecologies as a lens to explore the ...
Arianna Tozzi, Enid Still
wiley +1 more source
A Tapestry of Ideas with Ramanujan’s Formula Woven In
Zeta-functions play a fundamental role in many fields where there is a norm or a means to measure distance. They are usually given in the forms of Dirichlet series (additive), and they sometimes possess the Euler product (multiplicative) when the domain ...
Nianliang Wang +2 more
doaj +1 more source
The founding of the Journal of the London Mathematical Society and its first volume
Abstract That the Journal of the London Mathematical Society came into existence in 1926 can be ascribed to the efforts of one man: G.H. Hardy. As one of the two Secretaries of the Society, Hardy was aware of the increasing demand for publication space in the Society's Proceedings, and the need for an outlet for shorter papers.
June Barrow‐Green
wiley +1 more source
A reciprocity law for Ramanujan sums [PDF]
Certain arithmetic functions are representable by two types of series involving Ramanujan sums. A reciprocity law for Ramanujan sums is derived which relates these series.
openaire +3 more sources
Algebraic Connectivity Maximizing Regular Graphs: Special Case Analysis and Depth‐First Search
ABSTRACT The algebraic connectivity is an indicator of how well connected a graph is. It also characterizes the convergence speed of some dynamic processes over networks. In this paper, taking into account that homogeneous networks are modeled as regular graphs, we tackle the following problem: given a pair (n,k)$$ \left(n,k\right) $$ of positive ...
Masashi Kurahashi +3 more
wiley +1 more source
Arithmetical properties of multiple Ramanujan sums [PDF]
19 ...
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Numerical Computation of the Rosenblatt Distribution and Applications
ABSTRACT The Rosenblatt distribution plays a key role in the limit theorems for non‐linear functionals of stationary Gaussian processes with long‐range dependence. We derive new expressions for the characteristic function of the Rosenblatt distribution.
Nikolai N. Leonenko, Andrey Pepelyshev
wiley +1 more source
In 1918 S. Ramanujan defined a family of trigonometric sum now known as Ramanujan sums. In the last few years, Ramanujan sums have inspired the signal processing community. In this paper, we have defined an operator termed here as Ramanujan operator.
Yadav, Devendra Kumar +2 more
openaire +2 more sources

