Geodesic
Rational period functions and indefinite binary quadratic forms in higher level cases
SoYoung Choi 1   ; Chang Heon Kim 2
1 Department of Mathematics Education and RINS Gyeongsang National University 501 Jinjudae-ro, Jinju, 660-701, South Korea
2 Department of Mathematics Sungkyunkwan University Suwon, 440-746, South Korea
Acta Arithmetica, Tome 179 (2017) no. 4, pp. 319-334 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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Generalizing Gethner’s 1993 result we prove that rational period functions with irrational poles in higher level cases are not Hecke eigenfunctions. We also provide examples of rational period functions in level $2$ with irrational poles associated with indefinite binary quadratic forms by extending Choie and Parson’s 1990 result.
DOI : 10.4064/aa8556-2-2017
Keywords: generalizing gethner result prove rational period functions irrational poles higher level cases hecke eigenfunctions provide examples rational period functions level irrational poles associated indefinite binary quadratic forms extending choie parson result

SoYoung Choi  1   ; Chang Heon Kim  2

1 Department of Mathematics Education and RINS Gyeongsang National University 501 Jinjudae-ro, Jinju, 660-701, South Korea
2 Department of Mathematics Sungkyunkwan University Suwon, 440-746, South Korea 
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SoYoung Choi; Chang Heon Kim. Rational period functions and indefinite binary quadratic forms in higher level cases. Acta Arithmetica, Tome 179 (2017) no. 4, pp. 319-334. doi: 10.4064/aa8556-2-2017

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