Matches in SemOpenAlex for { <https://semopenalex.org/work/W1982514417> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W1982514417 endingPage "3817" @default.
- W1982514417 startingPage "3817" @default.
- W1982514417 abstract "Let $ell$ be a prime and $lambda ,jgeq 0$ be an integer. Suppose that $f(z)=sum _{n}a(n)q^n$ is a weakly holomorphic modular form of weight $lambda +frac {1}{2}$ and that $a(0)not equiv 0 pmod {ell }$. We prove that if the coefficients of $f(z)$ are not âwell-distributedâ modulo $ell ^j$, then [ lambda =0 text { or } 1 pmod {frac {ell -1}{2}}.] This implies that, under the additional restriction $a(0)not equiv 0 pmod {ell }$, the following conjecture of Balog, Darmon and Ono is true: if the coefficients of a modular form of weight $lambda +frac {1}{2}$ are almost (but not all) divisible by $ell$, then either $lambda equiv 0pmod {frac {ell -1}{2}}$ or $lambda equiv 1 pmod {frac {ell -1}{2}}$. We also prove that if $lambda not equiv 0 text { and } 1 pmod {frac {ell -1}{2}},$ then there does not exist an integer $beta$, $0leq beta <ell$, such that $a(ell n+ beta )equiv 0 pmod {ell }$ for every nonnegative integer $n$. As an application, we study congruences for the values of the overpartition function." @default.
- W1982514417 created "2016-06-24" @default.
- W1982514417 creator A5081344376 @default.
- W1982514417 date "2009-07-01" @default.
- W1982514417 modified "2023-09-29" @default.
- W1982514417 title "Weakly holomorphic modular forms of half-integral weight with nonvanishing constant terms modulo $ell $" @default.
- W1982514417 cites W1528542528 @default.
- W1982514417 cites W1968620043 @default.
- W1982514417 cites W1974708286 @default.
- W1982514417 cites W1977149682 @default.
- W1982514417 cites W1992506958 @default.
- W1982514417 cites W2009725566 @default.
- W1982514417 cites W2046725413 @default.
- W1982514417 cites W2066457956 @default.
- W1982514417 cites W2068711638 @default.
- W1982514417 cites W2072875175 @default.
- W1982514417 cites W2073988850 @default.
- W1982514417 cites W2911762538 @default.
- W1982514417 cites W2963391250 @default.
- W1982514417 cites W73185483 @default.
- W1982514417 cites W937186389 @default.
- W1982514417 cites W3203668817 @default.
- W1982514417 doi "https://doi.org/10.1090/s0002-9947-09-04708-4" @default.
- W1982514417 hasPublicationYear "2009" @default.
- W1982514417 type Work @default.
- W1982514417 sameAs 1982514417 @default.
- W1982514417 citedByCount "5" @default.
- W1982514417 countsByYear W19825144172016 @default.
- W1982514417 countsByYear W19825144172018 @default.
- W1982514417 countsByYear W19825144172019 @default.
- W1982514417 countsByYear W19825144172022 @default.
- W1982514417 crossrefType "journal-article" @default.
- W1982514417 hasAuthorship W1982514417A5081344376 @default.
- W1982514417 hasBestOaLocation W19825144171 @default.
- W1982514417 hasConcept C114614502 @default.
- W1982514417 hasConcept C120665830 @default.
- W1982514417 hasConcept C121332964 @default.
- W1982514417 hasConcept C184992742 @default.
- W1982514417 hasConcept C199360897 @default.
- W1982514417 hasConcept C202444582 @default.
- W1982514417 hasConcept C204575570 @default.
- W1982514417 hasConcept C2778113609 @default.
- W1982514417 hasConcept C2780990831 @default.
- W1982514417 hasConcept C33923547 @default.
- W1982514417 hasConcept C41008148 @default.
- W1982514417 hasConcept C54732982 @default.
- W1982514417 hasConcept C75764964 @default.
- W1982514417 hasConcept C97137487 @default.
- W1982514417 hasConcept C9973445 @default.
- W1982514417 hasConceptScore W1982514417C114614502 @default.
- W1982514417 hasConceptScore W1982514417C120665830 @default.
- W1982514417 hasConceptScore W1982514417C121332964 @default.
- W1982514417 hasConceptScore W1982514417C184992742 @default.
- W1982514417 hasConceptScore W1982514417C199360897 @default.
- W1982514417 hasConceptScore W1982514417C202444582 @default.
- W1982514417 hasConceptScore W1982514417C204575570 @default.
- W1982514417 hasConceptScore W1982514417C2778113609 @default.
- W1982514417 hasConceptScore W1982514417C2780990831 @default.
- W1982514417 hasConceptScore W1982514417C33923547 @default.
- W1982514417 hasConceptScore W1982514417C41008148 @default.
- W1982514417 hasConceptScore W1982514417C54732982 @default.
- W1982514417 hasConceptScore W1982514417C75764964 @default.
- W1982514417 hasConceptScore W1982514417C97137487 @default.
- W1982514417 hasConceptScore W1982514417C9973445 @default.
- W1982514417 hasIssue "07" @default.
- W1982514417 hasLocation W19825144171 @default.
- W1982514417 hasOpenAccess W1982514417 @default.
- W1982514417 hasPrimaryLocation W19825144171 @default.
- W1982514417 hasRelatedWork W2032144869 @default.
- W1982514417 hasRelatedWork W2070756261 @default.
- W1982514417 hasRelatedWork W2091646408 @default.
- W1982514417 hasRelatedWork W2333358997 @default.
- W1982514417 hasRelatedWork W2593631943 @default.
- W1982514417 hasRelatedWork W2890071277 @default.
- W1982514417 hasRelatedWork W2950474583 @default.
- W1982514417 hasRelatedWork W2951518643 @default.
- W1982514417 hasRelatedWork W4300704739 @default.
- W1982514417 hasRelatedWork W72454727 @default.
- W1982514417 hasVolume "361" @default.
- W1982514417 isParatext "false" @default.
- W1982514417 isRetracted "false" @default.
- W1982514417 magId "1982514417" @default.
- W1982514417 workType "article" @default.