Results 71 to 80 of about 229 (136)
On the infinite Borwein product raised to a positive real power. [PDF]
Ramanujan J, 2023 Schlosser MJ, Zhou NH.
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, 2003 In this paper, by using generalized logarithms of Dedekind eta-functions, generalized logarithms of theta-functions are obtained. Applying these functions, the relations between Hardy sums and Theta-functions are found.
Yilmaz Simsek, Simsek, Yilmaz
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On the elliptic function obtained from the theta function and dedekind's eta function
, 2013 YÖK Tez No: 344041Weierstrass'ın sigma fonksiyonu ile teta fonksiyonları arasında bir ilişki olduğu aşikardır. Bir eliptik fonksiyon teta fonksiyonları ile oluşturulabileceği gibi, Weierstrass'ın sigma fonksiyonu yardımıyla da kurulabilir ve Dedekind ...
Sakallı, Nuray
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The explicit formulas and evaluations of Ramanujan's theta-function ψ
, 2006 We define two quotients of theta-function ψ depending on two positive real parameters. We then show how they are connected with two parameters of Dedekind eta-function, theta-function φ, and the Ramanujan–Weber class invariants.
Paek, Dae Hyun, Yi, Jinhee, Lee, Yang
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, 2014 International audienceA generalised Weber function is given by $\w_N(z) = \eta(z/N)/\eta(z)$, where $\eta(z)$ is the Dedekind function and $N$ is any integer; the original function corresponds to $N=2$.
Morain, François, Enge, Andreas
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, 1997 In 1877, R. Dedekind introduced the sum$$s(d, c) = \sum\sbsp{j=1}{c}\left(\left({j\over c}\right)\right)\left(\left({dj\over c}\right)\right),$$which appears in the multiplier system of the Dedekind eta-function as a modular form. A century later, B.
Meyer, Jeffrey Lyle
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Construction of Weight Two Eigenforms via the Generalized Dedekind Eta Function
Rocky Mountain Journal of Mathematics, 2001 Generalized Dedekind eta functions are used to construct modular forms of weight two for the modular groups \(\Gamma_0(N)\).
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Certain quotient of eta-function identities.
, 2008 On page 212 in his lost notebook, Ramanujan defined a parameter $\lambda_n$ by a certain quotient of Dedekind eta-functions at the argument $q=exp(-\pi \sqrt{n/3})$. He then recorded a table of several values of $\lambda_n:=\lambda_{n,\,\, 3}$. All these
Sushan Bairy, K. +2 more
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From partitions to Hodge numbers of Hilbert schemes of surfaces. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Gillman N +4 more
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, 2023 This paper proves the existence of antichimeral Ramanujan type congruences for certain modular forms These modular forms can be represented in terms of Klein forms and the Dedekind eta function. The main focus of this thesis is to introduce the necessary
Mowers, Ryan A.
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