Modular equations for some η-products
Acta Arithmetica (2013)
- Volume: 161, Issue: 4, page 301-326
- ISSN: 0065-1036
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top"Modular equations for some η-products." Acta Arithmetica 161.4 (2013): 301-326. <http://eudml.org/doc/278943>.
@article{Unknown2013,
abstract = {The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.},
journal = {Acta Arithmetica},
language = {eng},
number = {4},
pages = {301-326},
title = {Modular equations for some η-products},
url = {http://eudml.org/doc/278943},
volume = {161},
year = {2013},
}
TY - JOUR
TI - Modular equations for some η-products
JO - Acta Arithmetica
PY - 2013
VL - 161
IS - 4
SP - 301
EP - 326
AB - The classical modular equations involve bivariate polynomials that can be seen to be univariate in the modular invariant j with integer coefficients. Kiepert found modular equations relating some η-quotients and the Weber functions γ₂ and γ₃. In the present work, we extend this idea to double η-quotients and characterize all the parameters leading to this kind of equation. We give some properties of these equations, explain how to compute them and give numerical examples.
LA - eng
UR - http://eudml.org/doc/278943
ER -
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