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On the vanishing coefficients of odd powers of Ramanujan’s theta functions
Various vanishing coefficient results on q -series expansions have been widely studied by many authors in recent years. Motivated by these works, we...
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Variance of a strongly additive function defined on random permutations
Inspired by unfading popularity of the Turán–Kubilius inequality for additive number theoretic functions within the last decades, we examine the...
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Rankin–Cohen brackets of Hilbert Hecke eigenforms
Over any fixed totally real number field with narrow class number one, we prove that the Rankin–Cohen bracket of two Hecke eigenforms for the Hilbert...
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The density of the graph of elliptic Dedekind sums
We show that the graph of normalized elliptic Dedekind sums is dense in its image for arbitrary imaginary quadratic fields, generalizing a result of...
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Minimal resolutions of Iwasawa modules
In this paper, we study the module-theoretic structure of classical Iwasawa modules. More precisely, for a finite abelian p -extension K / k of totally...
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Spectral moments of the real Ginibre ensemble
The moments of the real eigenvalues of real Ginibre matrices are investigated from the viewpoint of explicit formulas, differential and difference...
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Arithmetic fundamental lemma for the spherical Hecke algebra
We define Hecke correspondences and Hecke operators on unitary RZ spaces and study their basic geometric properties, including a commutativity...
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Distribution of angles to lattice points seen from a fast moving observer
We consider a square expanding with constant speed seen from an observer moving away with constant acceleration and study the distribution of angles...
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