Wigner Distribution Analysis Applied to Lehmer’s Conjecture on the Ramanujan tau Function
Takaaki Musha
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Quantitative systems pharmacology model of the amyloid pathway in Alzheimer's disease: Insights into the therapeutic mechanisms of clinical candidates. [PDF]
Ramakrishnan V +15 more
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Polynominals related to powers of the Dedekind eta function
The vanishing properties of Fourier coefficients of integral powers of the Dedekind eta function correspond to the existence of integral roots of integer-valued polynomials Pn(x) introduced by M. Newman.
Heim, B., Neuhauser, M.
core
On the number of representations of certain quadratic forms and a formula for the Ramanujan Tau function [PDF]
B. Ramakrishnan +2 more
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Periods and global invariants of automorphic representations
We consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps using automorphic L-functions.
Bernstein, Joseph, Reznikov, Andre
core
RTL8 promotes nuclear localization of UBQLN2 to subnuclear compartments associated with protein quality control. [PDF]
Mohan HM +12 more
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Sums of two squares and the tau-function: Ramanujan’s trail
survey article, 38 pages, 3 tables, 208 references. We took around 30 suggestions of the two referees into account.
Bruce C. Berndt, Pieter Moree
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Two-dimensional lattices with few distances
We prove that of all two-dimensional lattices of covolume 1 the hexagonal lattice has asymptotically the fewest distances. An analogous result for dimensions 3 to 8 was proved in 1991 by Conway and Sloane.
Moree, Pieter, Osburn, Robert
core
Identities and congruences for the general partition and Ramanujan’s tau functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Baruah, Nayandeep Deka +1 more
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UBQLN2 restrains the domesticated retrotransposon PEG10 to maintain neuronal health in ALS. [PDF]
Black HH +11 more
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