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pro vyhledávání: '"Richter, Olav"'
Given an odd prime $\ell$ and finite set of odd primes $S_+$, we prove the existence of an imaginary quadratic field whose class number is indivisible by $\ell$ and which splits at every prime in $S_+$. Notably, we do not require that $p \not\equiv -
Externí odkaz:
http://arxiv.org/abs/2305.19272
We extend a holomorphic projection argument of our earlier work to prove a novel divisibility result for non-holomorphic congruences of Hurwitz class numbers. This result allows us to establish Ramanujan-type congruences for Hurwitz class numbers on
Externí odkaz:
http://arxiv.org/abs/2203.11273
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:
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
Autor:
Raum, Martin, Richter, Olav
We determine the ring structure of Siegel modular forms of degree g modulo a prime p, extending Nagaoka's result in the case of degree g=2. We characterize U(p) congruences of Jacobi forms and Siegel modular forms, and surprisingly find different beh
Externí odkaz:
http://arxiv.org/abs/1312.5590
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