Results 61 to 70 of about 229 (136)
Power partitions and a generalized eta transformation property
, 2021 In their famous paper on partitions, Hardy and Ramanujan also raised the question of the behaviour of the number ps(n) of partitions of a positive integer~n into s-th powers and gave some preliminary results.
Don Zagier +2 more
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Affine root systems and Dedekind's?-function
Inventiones Mathematicae, 1971 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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EVALUATION OF THE DEDEKIND ETA FUNCTION
, 2008 We extend the methods of Van der Poorten and Chapman [2] for explicitly evaluating the Dedekind eta function at quadratic irrationalities. Via evaluation of Hecke L-series we obtain new evaluations at points in imaginary quadratic number fields with ...
William B. Hart, Robin Chapman
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Values of Zeta and L-functions
, 1982 In this paper, we will discuss recent investigations into the values of zeta and L-functions at s = 0, -1, -2, ..., with particular reference to s = 0.
Stark, Harold M.
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summary:As a far generalization of the Dedekind sum with the product of periodic Bernoulli polynomials, Mikolás introduced the Dedekind type sum $\mathcal {M}_c^{a,b}(w,z)$ with the product of the Hurwitz zeta-functions $\zeta (s,x ...
Tanigawa, Yoshio +2 more
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Polynominals related to powers of the Dedekind eta function
, 2018 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.
Neuhauser, M. +1 more
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Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Math Ann, 2023 Minelli P, Sourmelidis A, Technau M.
europepmc +1 more source
Some integrals of the Dedekind $η$ function
, 2019 Let $η$ be the weight $1/2$ Dedekind function. A unification and generalization of the integrals $\int_0^\infty f(x)η^n(ix)dx$, $n=1,3$, of Glasser \cite{glasser2009} is presented. Simple integral inequalities as well as some $n=2$, $4$, $6$, $8$, $9$, and $14$ examples are also given.
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Theta-function identities and the explicit formulas for theta-function and their applications
, 2004 We define two quotients of theta-functions depending on two positive real parameters. We then show how they are connected with two parameters of Dedekind eta-function and the Ramanujan–Weber class invariants.
Yi, Jinhee
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