منابع مشابه
Holomorphic Almost Modular Forms
Holomorphic almost modular forms are holomorphic functions of the complex upper half plane which can be approximated arbitrarily well (in a suitable sense) by modular forms of congruence subgroups of large index in SL(2,Z). It is proved that such functions have a rotation-invariant limit distribution when the argument approaches the real axis. An example for a holomorphic almost modular form is...
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s 1. Fisseha Abebe, Clark Atlanta University Distance Metric for Protein Partitions The composition of proteins in terms of amino-acid sequences within three protein theoretical families: serine, leucine, and valine, with respective sizes of 8, 7, and 5 amino acids, have been studied using combinatorial methods. All possible partitions are examined, and a metric is defined to measure the distan...
متن کاملOdd Coefficients of Weakly Holomorphic Modular Forms
is a weakly holomorphic modular form of integral or half-integral weight w2 on the congruence subgroup Γ1(N). By a weakly holomorphic modular form we mean a function f(z) which is holomorphic on the upper half-plane, meromorphic at the cusps, and which transforms in the usual way under the action of Γ1(N) on the upper half-plane (see, for example, [13] for generalities on modular forms of half-...
متن کاملGalois Representations for Holomorphic Siegel Modular Forms
We prove local global compatibility (up to a quadratic twist) of Galois representations associated to holomorphic Hilbert-Siegel modular forms in many cases (induced from Borel or Klingen parabolic). For Siegel modular forms, when the local representation is an irreducible principal series we get local global compatibility without a twist. We achieve this by proving a version of rigidity (stron...
متن کاملHecke Operators for Weakly Holomorphic Modular Forms and Supersingular Congruences
We consider the action of Hecke operators on weakly holomorphic modular forms and a Hecke-equivariant duality between the spaces of holomorphic and weakly holomorphic cusp forms. As an application, we obtain congruences modulo supersingular primes, which connect Hecke eigenvalues and certain singular moduli.
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ژورنال
عنوان ژورنال: Research in the Mathematical Sciences
سال: 2018
ISSN: 2522-0144,2197-9847
DOI: 10.1007/s40687-018-0128-2