Results 81 to 90 of about 229 (136)
Transformation formulas for the higher power of odd zeta values and generalized Eisenstein series
, 2022 In this article, we obtain a transformation formula for the higher power of odd zeta values, which generalizes Ramanujan's formula for odd zeta values.
Banerjee, Soumyarup, Sahani, Vijay
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Virasoro Algebra, Dedekind ?-function and Specialized Macdonald Identities
Transformation Groups, 2004 We motivate and prove a series of identities which form a generalization of the Euler's pentagonal number theorem, and are closely related to specialized Macdonald's identities for powers of the Dedekind $η$--function. More precisely, we show that what we call ``denominator formula'' for the Virasoro algebra has ``higher analogue'' for all $c_{s,t ...
openaire +2 more sources
A new class of theta function identities in two variables
, 2014 Copyright © 2010 Nova Science PublishersWe describe a new class of identities, which hold for certain general theta series, in two completely independent variables.
Toh, Pee Choon +5 more
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, 2020 A classical theorem of Ramanujan relates an integral of Dedekind eta-function to a special value of a Dirichlet L-function at s = 2. Ahlgren, Berndt, Yee and Zaharescu have generalized this result.
Zaharescu Ramin Takloo-Bighash +2 more
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A fórmula de Hardy-Ramanujan-Rademacher das partições de um inteiro positivo
, 2007 Neste trabalho será obtida a série de Rademacher que determina o valor para a função partição irrestrita p(n). Será usado o método do círculo com o caminho de integração descrito através dos círculos de Ford; e será demonstrada a equação funcional de ...
Eduardo Casagrande Stabel +1 more
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The generalized modified Bessel function Kz,w(x) at z=1/2 and Humbert functions,
, 2018 Recently Dixit, Kesarwani, and Moll introduced a generalization Kz,w(x) of the modified Bessel function Kz(x) and showed that it satisfies an elegant theory similar to Kz(x).
Kumar, Rahul
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73 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 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 ...
Meyer, Jeffrey Lyle
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On the modularity of certain functions from the Gromov-Witten theory of elliptic orbifolds. [PDF]
R Soc Open Sci, 2015 Bringmann K, Rolen L, Zwegers S.
europepmc +1 more source
Approximations to pi via the Dedekind eta function
, 1996 . Arguably the most efficient algorithm currently known for the extended precision calculation of ß is a quartic iteration due to J.M. and P.B. Borwein. In their paper, the Borwein's show how this iteration and others are intimately connected to the
J.M. Borwein, F. G. Garvan
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