Results 211 to 220 of about 22,163 (226)
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On the Dirichlet series related to the cubic theta function
Journal of Mathematical Sciences, 2007The paper studies the function L(τ;·) defined by the Dirichlet series $$L(\tau ;s) = \sum\limits_\nu {\frac{{\tau (\nu )}}{{\left\| \nu \right\|^s }}, s \in \mathbb{C}} $$ , where τ(υ) is the υth Fourier coefficient of the Kubota-Patterson cubic theta function. For this function, an exact and an approximate functional equations are derived.
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Computation of the zeros of the L-function associated with the cubic theta function
Journal of Mathematical Sciences, 2009The paper considers the L-function associated with the Kubota-Patterson cubic theta function. A method for computing values of the L-function is developed, and some conjectures on the distribution of its zeros are advanced and supported by numerical results. Bibliography: 12 titles.
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The Cubic Theta-Function Analogues of Borwein, Borwein and Garvan
2017Borwein, Borwein, and Garvan introduced three functions whose behaviour is somewhat analogous to the classical theta-functions. The three functions have proved to play a fairly important role in aspects of partition theory and related areas. They are studied for their properties and the many relations between them, and their implications in earlier and
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Mechanism, cellular functions and cancer roles of polymerase-theta-mediated DNA end joining
Nature Reviews Molecular Cell Biology, 2021Dale A Ramsden +2 more
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On a certain finite group connected with the cubic theta function.
2004Summary: With the Kubota-Patterson cubic theta function 27 shifted theta functions are associated. Then a certain group of permutations of the shifted theta functions is defined in a natural way, which proves to be isometric to a subgroup of the known group of permutations of 27 lines on a cubic surface.
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Determinant identities for theta functions
Journal of Mathematical Analysis and Applications, 2008Shaun Cooper, Pee Choon Toh
exaly

