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Rogers–Ramanujan type identities involving double, triple and quadruple sums
We prove a number of new Rogers–Ramanujan type identities involving double, triple and quadruple sums. They were discovered after an extensive search...
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A new bound for the orthogonality defect of HKZ reduced lattices
Hermite–Korkin–Zolotarev (HKZ) reduction is an important notion of lattice reduction which plays a significant role in number theory (particularly...
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Weyl’s law for arbitrary archimedean type
We generalize the work of Lindenstrauss and Venkatesh establishing Weyl’s Law for cusp forms from the spherical spectrum to arbitrary archimedean...
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Evaluation of Hecke–Rogers series and expansions of the rank function
A formula is established for the evaluation of double series of Hecke–Rogers type in terms of theta functions and Appell–Lerch functions. This...
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Construction of Jacobi forms using adjoint of the Jacobi–Serre derivative
In the article, we study the Oberdieck derivative defined on the space of weak Jacobi forms. We prove that the Oberdieck derivative maps a Jacobi...
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Enriched Koszul duality
We show that the category of non-counital conilpotent dg-coalgebras and the category of non-unital dg-algebras carry model structures compatible with...
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On weaker notions for Kähler-Ricci solitons
We show that shrinking Kähler-Ricci solitons over a compact Kähler manifold are gradient shrinking Kähler-Ricci solitons. The proof relies on a...