Class information for:
Level 1: ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25860 270 20.9 32%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
205 3       MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA 52461
1206 2             ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS 9179
25860 1                   ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS 270

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 ESTERMANN ZETA FUNCTION authKW 678562 2% 100% 6
2 RIEMANN HYPOTHESIS authKW 569484 11% 17% 29
3 COTANGENT SUMS authKW 314145 2% 56% 5
4 BEURLING NYMAN CRITERION authKW 226187 1% 100% 2
5 JUMPING CHAMPION authKW 226187 1% 100% 2
6 NYMAN BEURLING THEOREM authKW 226187 1% 100% 2
7 PRIMORIAL NUMBERS authKW 226187 1% 100% 2
8 VASYUNIN SUM authKW 226187 1% 100% 2
9 DIFFERENCES BETWEEN CONSECUTIVE PRIMES authKW 150790 1% 67% 2
10 OSTROWSKI EXPANSION authKW 150790 1% 67% 2

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 3347 48% 0% 130
2 Physics, Mathematical 1716 23% 0% 61
3 Physics, Multidisciplinary 596 23% 0% 61
4 Mathematics, Applied 308 14% 0% 39
5 Physics, Particles & Fields 63 6% 0% 16
6 Physics, Fluids & Plasmas 35 3% 0% 9
7 Physics, Nuclear 33 4% 0% 11
8 Education, Scientific Disciplines 9 1% 0% 3
9 Multidisciplinary Sciences 7 1% 0% 3
10 Mathematics, Interdisciplinary Applications 5 1% 0% 4

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 THEORIE NOMB 150790 1% 67% 2
2 ALGORITHM ARITHMET MATH 113094 0% 100% 1
3 ALGORITHM ARITHMET THEORIE NOMB BORDEAUX 113094 0% 100% 1
4 ELIE CARTAN DE NANCYINRIA 113094 0% 100% 1
5 MATH MAILSEILLE 113094 0% 100% 1
6 NUCL PARTICLE PHYS PHYS SECT 113094 0% 100% 1
7 THEOR NOMB ALGORITHM ARITHMET 113094 0% 100% 1
8 UMR CNRS 5465 113094 0% 100% 1
9 UNIDAD ASOCIADAIEMCSIC 113094 0% 100% 1
10 UNR 5582 113094 0% 100% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 JOURNAL OF NUMBER THEORY 6940 6% 0% 17
2 COMPUTATIONAL METHODS AND FUNCTION THEORY 2825 0% 3% 1
3 ACTA ARITHMETICA 2239 3% 0% 8
4 INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS 2167 2% 0% 5
5 INTERNATIONAL JOURNAL OF NUMBER THEORY 1608 1% 0% 4
6 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 1587 4% 0% 11
7 EXPERIMENTAL MATHEMATICS 1396 1% 0% 3
8 COMPTES RENDUS MATHEMATIQUE 1333 3% 0% 7
9 INTEGRAL EQUATIONS AND OPERATOR THEORY 1257 2% 0% 5
10 MONATSHEFTE FUR MATHEMATIK 1242 2% 0% 5

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 ESTERMANN ZETA FUNCTION 678562 2% 100% 6 Search ESTERMANN+ZETA+FUNCTION Search ESTERMANN+ZETA+FUNCTION
2 RIEMANN HYPOTHESIS 569484 11% 17% 29 Search RIEMANN+HYPOTHESIS Search RIEMANN+HYPOTHESIS
3 COTANGENT SUMS 314145 2% 56% 5 Search COTANGENT+SUMS Search COTANGENT+SUMS
4 BEURLING NYMAN CRITERION 226187 1% 100% 2 Search BEURLING+NYMAN+CRITERION Search BEURLING+NYMAN+CRITERION
5 JUMPING CHAMPION 226187 1% 100% 2 Search JUMPING+CHAMPION Search JUMPING+CHAMPION
6 NYMAN BEURLING THEOREM 226187 1% 100% 2 Search NYMAN+BEURLING+THEOREM Search NYMAN+BEURLING+THEOREM
7 PRIMORIAL NUMBERS 226187 1% 100% 2 Search PRIMORIAL+NUMBERS Search PRIMORIAL+NUMBERS
8 VASYUNIN SUM 226187 1% 100% 2 Search VASYUNIN+SUM Search VASYUNIN+SUM
9 DIFFERENCES BETWEEN CONSECUTIVE PRIMES 150790 1% 67% 2 Search DIFFERENCES+BETWEEN+CONSECUTIVE+PRIMES Search DIFFERENCES+BETWEEN+CONSECUTIVE+PRIMES
10 OSTROWSKI EXPANSION 150790 1% 67% 2 Search OSTROWSKI+EXPANSION Search OSTROWSKI+EXPANSION

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 SIERRA, G , LATORRE, JI , (2015) THERE IS ENTANGLEMENT IN THE PRIMES.QUANTUM INFORMATION & COMPUTATION. VOL. 15. ISSUE 7-8. P. 622 -659 29 55% 0
2 SIERRA, G , (2014) THE RIEMANN ZEROS AS ENERGY LEVELS OF A DIRAC FERMION IN A POTENTIAL BUILT FROM THE PRIME NUMBERS IN RINDLER SPACETIME.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 47. ISSUE 32. P. - 26 50% 3
3 SINGER, J , (2015) POSITIVE LIMIT-FOURIER TRANSFORM OF FAREY FRACTIONS.JOURNAL OF NUMBER THEORY. VOL. 149. ISSUE . P. 236 -258 14 88% 1
4 SIERRA, G , (2012) GENERAL COVARIANT XP MODELS AND THE RIEMANN ZEROS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 5. P. - 14 88% 5
5 GARRITY, T , (2010) A THERMODYNAMIC CLASSIFICATION OF REAL NUMBERS.JOURNAL OF NUMBER THEORY. VOL. 130. ISSUE 7. P. 1537 -1559 14 74% 0
6 PERELMAN, CC , (2008) THE RIEMANN HYPOTHESIS IS A CONSEQUENCE OF CT-INVARIANT QUANTUM MECHANICS.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 5. ISSUE 1. P. 17-32 13 81% 0
7 CASTRO, C , (2010) ON THE RIEMANN HYPOTHESIS, AREA QUANTIZATION, DIRAC OPERATORS, MODULARITY, AND RENORMALIZATION GROUP.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 7. ISSUE 1. P. 1 -31 14 70% 0
8 FRANC, JF , (2004) ON FOURIER AND ZETA(S).FORUM MATHEMATICUM. VOL. 16. ISSUE 6. P. 789-840 12 92% 0
9 MAIER, H , RASSIAS, MT , (2016) GENERALIZATIONS OF A COTANGENT SUM ASSOCIATED TO THE ESTERMANN ZETA FUNCTION.COMMUNICATIONS IN CONTEMPORARY MATHEMATICS. VOL. 18. ISSUE 1. P. - 11 73% 0
10 CASTRO, C , (2007) ON STRATEGIES TOWARDS THE RIEMANN HYPOTHESIS: FRACTAL SUPERSYMMETRIC QM AND A TRACE FORMULA.INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS. VOL. 4. ISSUE 5. P. 861-880 13 76% 0

Classes with closest relation at Level 1


Rank Class id link
1 5000 L FUNCTIONS//AUTOMORPHIC L FUNCTIONS//SELBERG CLASS
2 19793 PRIMES IN RESIDUE CLASSES//CHEBYSHEVS BIAS//FACTORIZATIONS OF DISTINCT LENGTHS
3 34713 RAMANUJAN SUBSPACES//XRAY PHYS IMAGING//MOJETTE TRANSFORM
4 35961 GENERAL SYSTEM LOGICAL THEORY//FRACTALS AND STATISTICAL NORMAL DISTRIBUTION//GOLDEN MEAN AND FRACTAL FLUCTUATIONS
5 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
6 37004 KALIFOR//AU TIO2 GE MOS FILM//CONTACT CHARGINGS
7 26311 GREATEST TYPE DIVISOR//GCD MATRIX//GCD CLOSED SET
8 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
9 29343 SPACE OF ANALYTIC FUNCTIONS//JOINT UNIVERSALITY//PERIODIC HURWITZ ZETA FUNCTION
10 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT

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