See Riemann hypothesis in All languages combined, or Wiktionary
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"etymology_text": "Named after German mathematician Bernhard Riemann (1826–1866), who first formulated and discussed the hypothesis.",
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"text": "The Riemann hypothesis has deep implications about the distribution of prime numbers.",
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"text": "1995, John Corning Carey, On Beurling's Approach to the Reimann Hypothesis, University of California, Berkeley, page 43,\nBut in the absence of such assumptions, the task of finding functions h∈ℱ₂ for which ‖1+h‖₂ is small is equivalent to proving the Riemann hypothesis, as we will now demonstrate."
},
{
"text": "2003, Marcus du Sautoy, The Music of the Primes, 2004, HarperCollins Publishers (Harper Perennial), page 10,\nA solution of the Riemann Hypothesis will have huge implications for many other mathematical problems."
},
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"text": "2010, Samuel J. Patterson, The Riemann Hypothesis – a short history, Gerrit Dijk, Masato Wakayama (editors), Casimir Force, Casimir Operators and the Riemann Hypothesis, Walter de Gruyter, page 30,\nThe one problem proposed in Riemann's paper which remained unproved, the only one Riemann put forward explicitly as a conjecture, was the Riemann Hypothesis."
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"text": "2021, Naji Arwashan, The Riemann Hypothesis and the Distribution of Prime Numbers, Nova Science Publishers, page x,\nThe Riemann Hypothesis is considered by many accounts the single most important and difficult question in math today."
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"The conjecture that the zeros of the Riemann zeta function exist only at the negative even integers and certain complex numbers whose real part is ½."
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"(mathematics, mathematical analysis, number theory) The conjecture that the zeros of the Riemann zeta function exist only at the negative even integers and certain complex numbers whose real part is ½."
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"code": "fr",
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"sense": "conjecture about the zeros of the Riemann zeta function",
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"word": "hypothèse de Riemann"
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"sense": "conjecture about the zeros of the Riemann zeta function",
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"word": "Riemannsche Vermutung"
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"sense": "conjecture about the zeros of the Riemann zeta function",
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"text": "1995, John Corning Carey, On Beurling's Approach to the Reimann Hypothesis, University of California, Berkeley, page 43,\nBut in the absence of such assumptions, the task of finding functions h∈ℱ₂ for which ‖1+h‖₂ is small is equivalent to proving the Riemann hypothesis, as we will now demonstrate."
},
{
"text": "2003, Marcus du Sautoy, The Music of the Primes, 2004, HarperCollins Publishers (Harper Perennial), page 10,\nA solution of the Riemann Hypothesis will have huge implications for many other mathematical problems."
},
{
"text": "2010, Samuel J. Patterson, The Riemann Hypothesis – a short history, Gerrit Dijk, Masato Wakayama (editors), Casimir Force, Casimir Operators and the Riemann Hypothesis, Walter de Gruyter, page 30,\nThe one problem proposed in Riemann's paper which remained unproved, the only one Riemann put forward explicitly as a conjecture, was the Riemann Hypothesis."
},
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"text": "2021, Naji Arwashan, The Riemann Hypothesis and the Distribution of Prime Numbers, Nova Science Publishers, page x,\nThe Riemann Hypothesis is considered by many accounts the single most important and difficult question in math today."
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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