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Autor:
Richter, Olav K.
Publikováno v:
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Thesis (Ph. D.)--University of California, San Diego, 1999.
Vita. Includes bibliographical references (leaves 43-44).
Vita. Includes bibliographical references (leaves 43-44).
Externí odkaz:
http://wwwlib.umi.com/cr/ucsd/fullcit?p9930906
In contrast to all other known Ramanujan-type congruences, we discover that Ramanujan-type congruences for Hurwitz class numbers can be supported on non-holomorphic generating series. We establish a divisibility result for such non-holomorphic congru
Externí odkaz:
http://arxiv.org/abs/2004.06886
Akademický článek
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Autor:
Raum, Martin, Richter, Olav K.
The classical Maass lift is a map from holomorphic Jacobi forms to holomorphic scalar-valued Siegel modular forms. Automorphic representation theory predicts a non-holomorphic and vector-valued analogue for Hecke eigenforms. This paper is the first p
Externí odkaz:
http://arxiv.org/abs/1810.06810
Publikováno v:
In Advances in Mathematics 19 November 2022 409 Part B
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2020 Sep 01. 117(36), 21953-21961.
Externí odkaz:
https://www.jstor.org/stable/26969098
We establish Sturm bounds for degree g Siegel modular forms modulo a prime p, which are vital for explicit computations. Our inductive proof exploits Fourier-Jacobi expansions of Siegel modular forms and properties of specializations of Jacobi forms
Externí odkaz:
http://arxiv.org/abs/1501.07733
We employ spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maass forms and vector-valued modular forms. We apply this operator to discover simple recursions for Fo
Externí odkaz:
http://arxiv.org/abs/1306.3919
Autor:
Dewar, Michael, Richter, Olav K.
We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an application, we establish Ramanujan-type congruences for explicit exampl
Externí odkaz:
http://arxiv.org/abs/0910.0787
Autor:
Richter, Olav K.
Publikováno v:
Proceedings of the American Mathematical Society, 2006 Apr 01. 134(4), 995-1001.
Externí odkaz:
https://www.jstor.org/stable/4098061