-
5
-
-
0042584143
-
The Riemann Hypothesis
-
Conrey J B 2003 The Riemann Hypothesis Not. Am. Math. Soc. 50 341-53
-
(2003)
Not. Am. Math. Soc
, vol.50
, pp. 341-353
-
-
Conrey, J.B.1
-
6
-
-
0038016775
-
-
Rosu H C 2003 Quantum Hamiltonians and prime numbers Mod. Phys. Lett. A 18 1205 (Preprint quant-ph/0304139)
-
Rosu H C 2003 Quantum Hamiltonians and prime numbers Mod. Phys. Lett. A 18 1205 (Preprint quant-ph/0304139)
-
-
-
-
7
-
-
0038475895
-
-
Elizalde E, Moretti V and Zerbini S 2003 On recent strategies proposed for proving the Riemann hypothesis Int. J. Mod. Phys. A 18 2189-96 (Preprint math-ph/0109006)
-
Elizalde E, Moretti V and Zerbini S 2003 On recent strategies proposed for proving the Riemann hypothesis Int. J. Mod. Phys. A 18 2189-96 (Preprint math-ph/0109006)
-
-
-
-
8
-
-
0002350116
-
Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series
-
Selberg A 1956 Harmonic analysis and discontinuous groups in weakly symmetric Riemannian spaces with applications to Dirichlet series J. Indian Math. Soc. 20 47-87
-
(1956)
J. Indian Math. Soc
, vol.20
, pp. 47-87
-
-
Selberg, A.1
-
9
-
-
0000308274
-
The pair correlation of zeros of the zeta function
-
Providence, RI: American Mathematical Society
-
Montgomery H L 1973 The pair correlation of zeros of the zeta function Analytic Number Theory (Providence, RI: American Mathematical Society)
-
(1973)
Analytic Number Theory
-
-
Montgomery, H.L.1
-
10
-
-
0004163930
-
-
Amsterdam: Elsevier Academic
-
Mehta M L 2004 Random Matrices (Amsterdam: Elsevier Academic)
-
(2004)
Random Matrices
-
-
Mehta, M.L.1
-
11
-
-
84968518845
-
On the distribution of spacings between zeros of zeta functions
-
Odlyzko A 1987 On the distribution of spacings between zeros of zeta functions Math. Comput. 48 273
-
(1987)
Math. Comput
, vol.48
, pp. 273
-
-
Odlyzko, A.1
-
12
-
-
0010963569
-
Quantum Chaos and Statistical Nuclear Physics
-
ed T H Seligman and H Nishioka New York: Springer
-
Berry M V 1986 Quantum Chaos and Statistical Nuclear Physics (Lecture Notes in Physics no. 263) ed T H Seligman and H Nishioka (New York: Springer)
-
(1986)
Lecture Notes in Physics
, vol.263
-
-
Berry, M.V.1
-
14
-
-
0001397592
-
Periodic orbits and classical quantization conditions
-
Gutzwiller M C 1971 Periodic orbits and classical quantization conditions J. Math. Phys. 12 343-58
-
(1971)
J. Math. Phys
, vol.12
, pp. 343-358
-
-
Gutzwiller, M.C.1
-
15
-
-
53149152987
-
-
Connes A 1999 Trace formula in noncommutative geometry and the zeros of the Riemann zeta function Selecta Math. 5 29 (Preprint math.NT/9811068)
-
Connes A 1999 Trace formula in noncommutative geometry and the zeros of the Riemann zeta function Selecta Math. 5 29 (Preprint math.NT/9811068)
-
-
-
-
17
-
-
0032647538
-
The Riemann zeros and eigenvalue asymptotics
-
Berry M V and Keating J P 1999 The Riemann zeros and eigenvalue asymptotics SIAM Rev. 41 236
-
(1999)
SIAM Rev
, vol.41
, pp. 236
-
-
Berry, M.V.1
Keating, J.P.2
-
18
-
-
33645690479
-
-
Sierra G 2005 The Riemann zeros and the cyclic renormalization group J. Stat. Mech. P12006 (Preprint math.NT/0510572)
-
Sierra G 2005 The Riemann zeros and the cyclic renormalization group J. Stat. Mech. P12006 (Preprint math.NT/0510572)
-
-
-
-
19
-
-
34250736969
-
-
Sierra G 2007 H = xp with interaction and the Riemann zeros Nucl. Phys. B 776 327 (Preprint math-ph/0702034)
-
Sierra G 2007 H = xp with interaction and the Riemann zeros Nucl. Phys. B 776 327 (Preprint math-ph/0702034)
-
-
-
-
20
-
-
46249089266
-
-
Sierra G 2007 Quantum reconstruction of the Riemann zeta function J. Phys. A: Math. Theor. 40 1 (Preprint 0711.1. 1063)
-
Sierra G 2007 Quantum reconstruction of the Riemann zeta function J. Phys. A: Math. Theor. 40 1 (Preprint 0711.1. 1063)
-
-
-
-
21
-
-
1442312675
-
Russian doll renormalization group and superconductivity
-
Preprint cond-mat/0211338
-
LeClair A, RomáJ M and Sierra G 2004 Russian doll renormalization group and superconductivity Phys. Rev. B 69 (Preprint cond-mat/0211338)
-
(2004)
Phys. Rev. B
, vol.69
-
-
LeClair, A.1
RomáJ, M.2
Sierra, G.3
-
22
-
-
21244500127
-
The elementary excitations of the exactly solvable Russian doll BCS model of superconductivity
-
Preprint cond-mat/0503014
-
Anfossi A, LeClair A and Sierra G 2005 The elementary excitations of the exactly solvable Russian doll BCS model of superconductivity J. Stat. Mech. P05011 (Preprint cond-mat/0503014)
-
(2005)
J. Stat. Mech
-
-
Anfossi, A.1
LeClair, A.2
Sierra, G.3
-
23
-
-
8744255371
-
-
Dunning C and Links J 2004 Integrability of the Russian doll BCS model Nucl. Phys. B 702 481 (Preprint cond-mat/0406234)
-
Dunning C and Links J 2004 Integrability of the Russian doll BCS model Nucl. Phys. B 702 481 (Preprint cond-mat/0406234)
-
-
-
-
24
-
-
34250760564
-
Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis
-
Preprint math-ph/0611043
-
LeClair A 2006 Interacting Bose and Fermi gases in low dimensions and the Riemann hypothesis Preprint math-ph/0611043
-
(2006)
-
-
LeClair, A.1
-
25
-
-
33845912950
-
-
Twamley J and Milburn G J 2006 The quantum Mellin transform New J. Phys. 8 328 (Preprint quant-ph/0702107)
-
Twamley J and Milburn G J 2006 The quantum Mellin transform New J. Phys. 8 328 (Preprint quant-ph/0702107)
-
-
-
-
26
-
-
0035649980
-
Multiple zeta values at non-positive integers
-
Akiyama S and Tanigawa Y 2001 Multiple zeta values at non-positive integers Ramanujan J 5 327-51
-
(2001)
Ramanujan J
, vol.5
, pp. 327-351
-
-
Akiyama, S.1
Tanigawa, Y.2
-
27
-
-
34250742155
-
Renormalization of multiple zeta values
-
Preprint math.NT/0606076
-
Guo L and Zhang B 2006 Renormalization of multiple zeta values Preprint math.NT/0606076
-
(2006)
-
-
Guo, L.1
Zhang, B.2
-
28
-
-
0035585510
-
-
Bonneau G, Faraut J and Valent G 2001 Self-adjoint extensions of operators and the teaching of quantum mechanics Am. J. Phys. 69 322 (Preprint quant-ph/0103153)
-
Bonneau G, Faraut J and Valent G 2001 Self-adjoint extensions of operators and the teaching of quantum mechanics Am. J. Phys. 69 322 (Preprint quant-ph/0103153)
-
-
-
-
29
-
-
0000139548
-
A new asymptotic representation for ζ(1/2+it) and quantum spectral determinants
-
Berry M V and Keating J P 1992 A new asymptotic representation for ζ(1/2+it) and quantum spectral determinants Proc. R. Soc. Lond. A 437 151
-
(1992)
Proc. R. Soc. Lond. A
, vol.437
, pp. 151
-
-
Berry, M.V.1
Keating, J.P.2
-
30
-
-
46249116239
-
-
Bombieri E A lower bound for the zeros of Riemanns zeta function on the critical line SéN. Bourbaki 1974-75 exp. no. 465 p 176-82
-
Bombieri E A lower bound for the zeros of Riemanns zeta function on the critical line SéN. Bourbaki 1974-75 exp. no. 465 p 176-82
-
-
-
-
31
-
-
0037583140
-
Scattering theory and automorphic functions
-
Pavlov B S and Faddeev L D 1975 Scattering theory and automorphic functions Sov. Math. 3 522
-
(1975)
Sov. Math
, vol.3
, pp. 522
-
-
Pavlov, B.S.1
Faddeev, L.D.2
-
33
-
-
0000291634
-
Stochastic behaviour in quantum scattering
-
Gutzwiller M C 1983 Stochastic behaviour in quantum scattering Physica D 7 341
-
(1983)
Physica D
, vol.7
, pp. 341
-
-
Gutzwiller, M.C.1
-
34
-
-
0038597392
-
Jost function, prime numbers and Riemann zeta function
-
Preprint math-ph/0303014
-
Joffily S 2003 Jost function, prime numbers and Riemann zeta function Preprint math-ph/0303014
-
(2003)
-
-
Joffily, S.1
-
35
-
-
4243778157
-
-
Bhaduri, R K, Avinash Khare and Law J 1995 Phase of the Riemann zeta function and the inverted harmonic oscillator Phys. Rev. E 52 486-91 (Preprint chao-dyn/9406006)
-
Bhaduri, R K, Avinash Khare and Law J 1995 Phase of the Riemann zeta function and the inverted harmonic oscillator Phys. Rev. E 52 486-91 (Preprint chao-dyn/9406006)
-
-
-
-
36
-
-
0038053088
-
Sur les espaces de Sonine associépar de Branges àla transformation de Fourier
-
Burnol J-F 2002 Sur les espaces de Sonine associépar de Branges àla transformation de Fourier C. R. Acad. Sci. Paris 335 689-92
-
(2002)
C. R. Acad. Sci. Paris
, vol.335
, pp. 689-692
-
-
Burnol, J.-F.1
-
37
-
-
30244541785
-
Des éde Dirac et de Schröpour la transformation de Fourier
-
Burnol J-F 2003 Des éde Dirac et de Schröpour la transformation de Fourier C. R. Acad. Sci. Paris 336 919-24
-
(2003)
C. R. Acad. Sci. Paris
, vol.336
, pp. 919-924
-
-
Burnol, J.-F.1
-
38
-
-
85039677545
-
Scattering, determinants, hyperfunctions in relation to F(1 -s)/ F(s)
-
Preprint math.NT/0602425
-
Burnol J-F 2006 Scattering, determinants, hyperfunctions in relation to F(1 -s)/ F(s) Preprint math.NT/0602425
-
(2006)
-
-
Burnol, J.-F.1
-
39
-
-
46249096371
-
-
Burnol J F 2008 On some bound and scattering states associated with cosine kernel Preprint 0801.0530
-
Burnol J F 2008 On some bound and scattering states associated with cosine kernel Preprint 0801.0530
-
-
-
-
40
-
-
46249097982
-
-
Sierra G and Townsend P K in preparation
-
Sierra G and Townsend P K in preparation
-
-
-
|