A proof of the S-genus identities for ternary quadratic forms [PDF]
, 2011 In this paper we prove the main conjectures of Berkovich and Jagy about weighted averages of representation numbers over an S-genus of ternary lattices (defined below) for any odd squarefree S \in N.
Berkovich, Alexander +2 more
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Bounds on sup-norms of half-integral weight modular forms
, 2014 Bounding sup-norms of modular forms in terms of the level has been the focus of much recent study. In this work the sup norm of a half integral weight cusp form is bounded in terms of the level.Comment: 11 pages.
Kiral, Eren Mehmet
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Combination of a triple wavelength (650 nm, 810 nm, and 915 nm) class IV laser system and local mechanical abrasion in the treatment of chronic toenail onychomycosis: an uncontrolled prospective pilot study. [PDF]
Int J Dermatol, 2022 Aukstikalnyte AE +3 more
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Sign changes of coefficients of half integral weight modular forms
, 2007 For a half integral weight modular form $f$ we study the signs of the Fourier coefficients $a(n)$. If $f$ is a Hecke eigenform of level $ N$ with real Nebentypus character, and $t$ is a fixed square-free positive integer with $a(t)\neq 0$, we show that ...
Bruinier, Jan Hendrik, Kohnen, Winfried
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On sign changes of cusp forms and the halting of an algorithm to construct a supersingular elliptic curve with a given endomorphism ring [PDF]
, 2016 Chevyrev and Galbraith recently devised an algorithm which inputs a maximal order of the quaternion algebra ramified at one prime and infinity and constructs a supersingular elliptic curve whose endomorphism ring is precisely this maximal order.
Fung, King Cheong, Kane, Ben
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Modular knots, automorphic forms, and the Rademacher symbols for triangle groups. [PDF]
Res Math Sci, 2023 Matsusaka T, Ueki J.
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Completions and algebraic formulas for the coefficients of Ramanujan's mock theta functions. [PDF]
Ramanujan J, 2021 Klein D, Kupka J.
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Systematic review of structural and functional neuroimaging studies of cannabis use in adolescence and emerging adulthood: evidence from 90 studies and 9441 participants. [PDF]
Neuropsychopharmacology, 2022 Lichenstein SD +10 more
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, 2019 \textit{Weak moonshine} for a finite group $G$ is the phenomenon where an infinite dimensional graded $G$-module $$V_G=\bigoplus_{n\gg-\infty}V_G(n)$$ has the property that its trace functions, known as McKay-Thompson series, are modular functions ...
Dawsey, Madeline Locus, Ono, Ken
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