Results 1 to 10 of about 9,065 (122)
Siegel theta series for indefinite quadratic forms [PDF]
Research in Number Theory, 2021 AbstractThe modular transformation behavior of theta series for indefinite quadratic forms is well understood in the case of elliptic modular forms due to Vignéras, who deduced that solving a differential equation of second order serves as a criterion for modularity. In this paper, we will give a generalization of this result to Siegel theta series.
Christina Röhrig
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An algebraic property of Hecke operators and two indefinite theta series [PDF]
Forum Mathematicum, 2013 Abstract We prove an algebraic property of the elements defining Hecke operators on period polynomials associated with modular forms, which implies that the pairing on period polynomials corresponding to the Petersson scalar product of modular forms is Hecke equivariant.
Vicentiu Pasol, Alexandru A. Popa
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A Survey of Lattice-Based Physical-Layer Security for Wireless Systems with p-Modular Lattice Constructions [PDF]
EntropyPhysical-layer security (PLS) provides an information-theoretic framework for securing wireless communications by exploiting channel and signal-structure asymmetries, thereby avoiding reliance on computational hardness assumptions.
Hassan Khodaiemehr +5 more
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Indefinite theta series and generalized error functions [PDF]
Selecta Mathematica, New Series, 2018 32 pages, 2 figures; v2: discussed $\Delta_{12}=0$ case at end of section 3, added subsection 4.4 on $C_1=C_2$ case (relevant for signature (2,1)), and added several references; v3: published version in Selecta Mathematica (with apologies for not uploading it earlier)
Sergei Alexandrov +2 more
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$r$-tuple error functions and indefinite theta series of higher-depth [PDF]
Communications in Number Theory and Physics, 2018 22 pages; v2: Typos ...
Caner Nazaroglu
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Theta series for indefinite quadratic forms over real number fields [PDF]
Acta Arithmetica, 1995 The goal is the construction of a theta series for a general quadratic from \(q\) and lattice \(L\) over a real algebraic number field. The first difficulty is that \(L\) need not be free: but the Scharlau transfer \(\text{tr} (q)\) lies over \(\mathbb{Q}\) and \(L\) is free as a \(\mathbb{Z}\)-module.
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Indefinite theta series: the case of an $N$-gon
Pure and Applied Mathematics Quarterly, 2023 Funke, J. ; https://orcid.org/0000-0003-2694-4539 +1 more
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Elliptic and Siegel Theta Series for Indefinite Quadratic Forms [PDF]
, 2022 In this thesis, we embed four research articles on elliptic and Siegel theta series for indefinite quadratic forms. In the first two articles, we generalize results on elliptic theta series to Siegel theta series, i.e. theta series for arbitrary genus $n\in \N$.
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Universal Triple Massey Products on Elliptic Curves and Hecke's Indefinite Theta Series [PDF]
Moscow Mathematical Journal, 2005 19 ...
Pasol, Vicentiu, Polishchuk, Alexander
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