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The Paramodular Subspace
Let F be a nonarchimedean local field of characteristic zero, let...
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Matrix Mean Inequalities for Sector Matrices
In this note, some inequalities involving matrix means of sectorial matrices are proved which are generalizations and refinements of previous known...
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The Minimal Sum of Squares Over Partitions with a Nonnegative Rank
Motivated by a question of Defant and Propp (Electron J Combin 27:Article P3.51, 2020) regarding the connection between the degrees of...
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Unitary Groups
In this final chapter we complete the proof of Theorems 4 and 5...
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Towards improving Christofides algorithm on fundamental classes by gluing convex combinations of tours
We present a new approach for gluing tours over certain tight, 3-edge cuts. Gluing over 3-edge cuts has been used in algorithms for finding Hamilton...
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The Number of Tangencies Between Two Families of Curves
We prove that the number of tangencies between the members of two families, each of which consists of n pairwise disjoint curves, can be as large as
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Some new quartic modular equations in Ramanujan’s alternative theory of signature 4
We prove some new modular equations in the Ramanujan’s alternative theory of signature 4 or quartic theory by using some theta-function identities....
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Some new Eisenstein series containing the Borweins’ cubic theta functions and convolution sum \(\displaystyle {\sum _{i+4j=n}^{}\sigma (i)\sigma (j)}\)
In this paper, we obtain some new Eisenstein series identities containing the Borweins’ cubic theta functions using ( p , k )-parameterization. Further,...
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Theta series and number fields: theorems and experiments
Let d and n be positive integers and let K be a totally real number field of discriminant d and degree n . We construct a theta series
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