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2015, Anneli Lax new mathematical library, ISBN 9780883856505, Volume 46., xi, 144 pages
Book
2016, ISBN 9781107101920, xi, 142
... in 1859, the so-called Riemann hypothesis, which remains one of the most important unsolved problems in mathematics... 
Numbers, Prime | Riemann hypothesis
Book
2017, Encyclopedia of mathematics and its applications, ISBN 9781108290784, Volume 164-165, 2 volumes
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics... 
Riemann hypothesis
Book
2014, London Mathematical Society student texts, ISBN 1107047218, Volume 80, xii, 152 pages
This book provides a lucid exposition of the connections between non-commutative geometry and the famous Riemann Hypothesis, focusing on the theory of one-dimensional varieties over a finite field... 
Geometry | Riemann hypothesis | Algebraic fields | Noncommutative differential geometry
Book
11/2017, ISBN 1108178227
Book
Proceedings of the National Academy of Sciences - PNAS, ISSN 0027-8424, 3/2016, Volume 113, Issue 10, pp. 2603 - 2608
... of ( ). It has a functional equation relating ( ) to . We prove the Riemann hypothesis for these polynomials... 
Period polynomials | Modular forms | Riemann hypothesis | VALUES | modular forms | period polynomials | MULTIDISCIPLINARY SCIENCES | ZEROS | Polynomials | Research | Mathematical research | Riemann integral | Mathematics - Number Theory | Physical Sciences
Journal Article
Applicable Algebra in Engineering, Communication and Computing, ISSN 0938-1279, 8/2019, Volume 30, Issue 4, pp. 275 - 284
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2014, Volume 409, Issue 1, pp. 244 - 253
Balazard, Saias, and Yor proved that the Riemann Hypothesis is equivalent to a certain weighted integral of the logarithm of the Riemann zeta-function along the critical line equaling zero... 
Riemann Hypothesis | Resonance method | Omega theorems | Riemann zeta-function | MATHEMATICS | MATHEMATICS, APPLIED | ZETA-FUNCTION | EXTREME VALUES
Journal Article
Mathematics (Basel), ISSN 2227-7390, 2018, Volume 6, Issue 12, p. 289
...) well-known that the Riemann hypothesis is not sufficient to prove Andrica’s conjecture: ∀n≥1, is p n + 1 - p n ≤ 1 ? However, can one at least get tolerably close... 
Andrica's conjecture | Prime gaps | Riemann hypothesis | Primes | MATHEMATICS | primes | prime gaps | Andrica’s conjecture
Journal Article
Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8121, 04/2011, Volume 44, Issue 14, pp. 145203 - 9
...), where beta is an inverse temperature. We formulate Riemann hypothesis (RH) as a property of the low-temperature Kubo-Martin-Schwinger (KMS... 
PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Functions (mathematics) | Equivalence | Mathematical analysis | Quantum mechanics | Inequalities | Texts | Inverse | Dynamical systems | Quantum Algebra | Quantum Physics | Mathematics | Number Theory | Physics
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 08/2018, Volume 68, Issue 4, pp. 741 - 748
We prove that, under the Riemann hypothesis, a wide class of analytic functions can be approximated by shifts + i ), ∈ ℕ... 
universality | Riemann hypothesis | Riemann zeta-function | weak convergence | Primary 11M06 | MATHEMATICS | ZEROS | Analytic functions | Hypotheses
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 07/2020, Volume 148, Issue 7, pp. 2863 - 2875
We recast the classical Lindelof hypothesis as an estimate for the sums Sigma(n <= x) n(-it). This leads us to propose that a more general form of the Lindelof hypothesis may be true, one involving estimates for sums of the type Sigma... 
MATHEMATICS | Lindelof hypothesis | MATHEMATICS, APPLIED | Riemann hypothesis
Journal Article
Philosophical transactions of the Royal Society of London. Series A: Mathematical, physical, and engineering sciences, ISSN 1364-503X, 08/2015, Volume 373, Issue 2047, p. 20140240
Journal Article
The Rocky Mountain journal of mathematics, ISSN 0035-7596, 2016, Volume 46, Issue 2, pp. 435 - 442
In this short note, we give a proof of the Riemann hypothesis for the Goss v-adic zeta function zeta(v... 
Riemann hypothesis | Goss zeta function | MATHEMATICS
Journal Article
International Journal of Modern Physics A, ISSN 0217-751X, 12/2016, Volume 31, Issue 36, p. 1650201
We discuss a precise relation between the Veneziano amplitude of string theory, rewritten in terms of ratios of the Riemann zeta function, and two elementary criteria for the Riemann hypothesis... 
Riemann zeta function | string amplitude | Hilbert-Pólya programme | Hilbert-Polya programme | NUMBERS | PHYSICS, NUCLEAR | AMPLITUDES | PHYSICS, PARTICLES & FIELDS | Physics
Journal Article
Journal of number theory, ISSN 0022-314X, 12/2016, Volume 169, pp. 342 - 352
.... The main result is a suggestive equivalence between an asymptotic functional equation for these L-functions and the corresponding case of the Generalized Riemann Hypothesis... 
Dirichlet L-functions | Functional equations | Generalized Riemann Hypothesis | L-functions of graphs | Cyclic graphs | MATHEMATICS
Journal Article
Communications in number theory and physics, ISSN 1931-4523, 2018, Volume 12, Issue 3, pp. 409 - 490
.... We conjecture that all a-coefficients of the DAHA superpolynomials upon the substitution q bar right arrow qt satisfy the Riemann Hypothesis for sufficiently small q for uncolored algebraic knots, presumably for q <= 1/2 as a = 0... 
Iterated torus links | Plane curve singularities | Hasse-Weil zeta-function | Hilbert scheme | Khovanov-Rozansky homology | Double affine Hecke algebras | Jones polynomials | Compactified Jacobians | Macdonald polynomial | Riemann hypothesis | HOMFLY-PT polynomials | compactified Jacobians | MATHEMATICS, APPLIED | ZETA-FUNCTIONS | MATRIX FACTORIZATIONS | plane curve singularities | PHYSICS, MATHEMATICAL | KNOTS | MATHEMATICS | TORUS | LINK HOMOLOGY | double affine Hecke algebras | iterated torus links
Journal Article
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