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1

Rice, T. M., and K. Ueda. "Gutzwiller method for heavy electrons." Physical Review B 34, no. 9 (1986): 6420–27. http://dx.doi.org/10.1103/physrevb.34.6420.

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2

GOCHEV, I. G., N. B. IVANOV, and P. Kh. IVANOV. "A NEW APPROACH TO CALCULATION OF ENERGY OF S = 1/2 HEISENBERG ANTIFERROMAGNET USING VARIATIONAL GUTZWILLER WAVE FUNCTION." International Journal of Modern Physics B 02, no. 05 (1988): 1037–42. http://dx.doi.org/10.1142/s0217979288000871.

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3

Zhang, Jian, Ming-Feng Tian, Guang-Xi Jin, Yuan-Feng Xu, and Xi Dai. "Implementation of LDA+Gutzwiller with Newtons method." Chinese Physics B 26, no. 1 (2017): 017103. http://dx.doi.org/10.1088/1674-1056/26/1/017103.

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4

Deng, XiaoYu, Xi Dai, and Zhong Fang. "LDA + Gutzwiller method for correlated electron systems." EPL (Europhysics Letters) 83, no. 3 (2008): 37008. http://dx.doi.org/10.1209/0295-5075/83/37008.

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5

JAKUBCZYK, D. "ON THE TRANSLATIONAL SYMMETRY OF INFINITE U HUBBARD MODEL." Modern Physics Letters B 26, no. 02 (2012): 1150005. http://dx.doi.org/10.1142/s0217984911500059.

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We investigate two commonly used methods of obtaining the solution of the one-dimensional Hubard model, in the regime of infinite intrasite Coulomb repulsion U, that is the nested Bethe ansatz and the Gutzwiller projection operator approach. These two formalisms give rise to different kinds of the wavefunctions, received via the additional operator and as a general feature, in Gutzwiller and Bethe methods, respectively. We consider the finite system consisting of three particles on a four site closed chain. We investigate the consequences of the dissimilarities in the translational symmetry of
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6

Julien, J. P., and J. Bouchet. "Ab initio Gutzwiller method: first application to plutonium." Physica B: Condensed Matter 359-361 (April 2005): 783–85. http://dx.doi.org/10.1016/j.physb.2005.01.226.

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7

TARENTO, R. J., P. JOYES, and J. VAN DE WALLE. "SIMPLE APPROACHES TO FULLERENES AND BUCKONIONS ELECTRONIC STRUCTURE: GUTZWILLER AND SHELL-MODEL CALCULATIONS." Surface Review and Letters 03, no. 01 (1996): 849–51. http://dx.doi.org/10.1142/s0218625x96001522.

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The electronic structure of fullerenes and buckonions have been investigated using quantum-mechanical methods: the Gutzwiller and shell-model techniques. In the first part, fullerenes have been modeled with the Hubbard Hamiltonian and the electronic correlation has been examined within the Gutzwiller framework. It has been derived various characteristic energies of fullerenes ( C 60 and C 240) in the free state (first and second ionization energies, electron affinity, and singlet and triplet energies). The second part deals with buckonions. Fullerenes and buckonions have been modeled with the
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8

Seibold, G., and E. Sigmund. "Gutzwiller and slave-boson methods for intersite Coulomb interactions." Zeitschrift für Physik B Condensed Matter 101, no. 3 (1997): 405–10. http://dx.doi.org/10.1007/s002570050226.

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9

Julien, J. P. "Density matrix approach to Gutzwiller method for degenerate bands." Physica B: Condensed Matter 259-261 (January 1999): 757–59. http://dx.doi.org/10.1016/s0921-4526(98)00782-0.

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10

Joyes, P., and R. J. Tarento. "Application of the Gutzwiller method to neutral and ionicC60aggregates." Physical Review B 45, no. 20 (1992): 12077–80. http://dx.doi.org/10.1103/physrevb.45.12077.

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11

Fazekas, P., and B. H. Brandow. "Application of the Gutzwiller method to the periodic Anderson model." Physica Scripta 36, no. 5 (1987): 809–19. http://dx.doi.org/10.1088/0031-8949/36/5/008.

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12

Kubo, Katsunori. "Gutzwiller method for heavy-fermion systems under a magnetic field." physica status solidi (c) 10, no. 3 (2013): 544–48. http://dx.doi.org/10.1002/pssc.201200762.

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13

KOU, SU-PENG, and RONG-HUA LI. "BOSONIC GUTZWILLER PROJECTION APPROACH FOR THE BOSE–HUBBARD MODEL." International Journal of Modern Physics B 21, no. 02 (2007): 249–64. http://dx.doi.org/10.1142/s0217979207036497.

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In this paper, a new Bosonic Gutzwiller projection approach is proposed to study the strongly correlated bosons in optical lattice. In this method, there exist many variational parameters which make us calculate the physical characters of states, including the double occupation rate and the higher occupation rates. Based on this approach, a quantum phase transition from superfluid state to Mott insulator state is obtained for the homogenous phase at unit filling.
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14

Miyazaki, T., I. Nakamura, and D. Yoshioka. "Bilayer Heisenberg model studied by the Schwinger-boson Gutzwiller-projection method." Physical Review B 53, no. 18 (1996): 12206–14. http://dx.doi.org/10.1103/physrevb.53.12206.

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15

FERREIRA da SILVA, A. "ENHANCED EFFECTIVE MASS IN N-DOPED DEGENERATE SILICON." Modern Physics Letters B 04, no. 01 (1990): 37–41. http://dx.doi.org/10.1142/s0217984990000064.

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The effective mass of phosphorus-doped silicon has been calculated in the light of the Gutzwiller method for highly correlated system. The many-valley nature of the host conduction band minima with a variational impurity concentration dependence is taken into account in the calculation. The results show fair agreement when compared to previous work and available experimental data. Calculation of the density of states at the Fermi energy is also presented for the sake of comparison.
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16

Wölfle, P. "SPIN-CARRYING SLAVE BOSON REPRESENTATION FOR STRONGLY CORRELATED FERMION SYSTEMS." International Journal of Modern Physics B 03, no. 12 (1989): 1833–42. http://dx.doi.org/10.1142/s0217979289001172.

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We consider slave boson formulations of the Hubbard model, the t–J model and the Anderson model, in which spin and charge fermion degrees of freedom are represented by Bose fields. The approach has been applied to the Hubbard model generalizing the formulation of Kotliar and Ruckenstein. There the Gutzwiller solution is recovered as a saddle point. The method allows to find other types of mean field solutions in a systematic way. Dynamical correlation functions in mean field approximation as well as fluctuation contributions are also calculated.
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17

HSU, THEODORE C. "On the Projected Fermion Description of Anisotropic S=1/2 Antiferromagnets." International Journal of Modern Physics B 03, no. 12 (1989): 1997–2007. http://dx.doi.org/10.1142/s0217979289001287.

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In this paper we consider anisotropic S=1/2 antiferromagnets through a projected fermion description. The success of projected fermion methods for the isotropic system is reviewed. We present an analytical approximation to Gutzwiller approximation and illustrate it’s use by showing that it is consistent with the SU(2) symmetry of projected fermions. The anisotropic antiferromagnet is written in terms of a fermion mean field. We consider the case of Ising anisotropy and show that in the Ising limit a procedure of minimizing the post-projection energy of a fermion mean field state gives the corr
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18

Yanagisawa, Takashi, Mitake Miyazaki, and Kunihiko Yamaji. "Crossover Induced Electron Pairing and Superconductivity by Kinetic Renormalization in Correlated Electron Systems." Condensed Matter 3, no. 3 (2018): 26. http://dx.doi.org/10.3390/condmat3030026.

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We investigate the ground state of strongly correlated electron systems based on an optimization variational Monte Carlo method to clarify the mechanism of high-temperature superconductivity. The wave function is optimized by introducing variational parameters in an exponential-type wave function beyond the Gutzwiller function. The many-body effect plays an important role as an origin of superconductivity in a correlated electron system. There is a crossover between weakly correlated region and strongly correlated region, where two regions are characterized by the strength of the on-site Coulo
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19

Miyazaki, Tomohiko, and Daijiro Yoshioka. "Resonating-Valence-Bond Ground State ofCaV4O9Studied by the Gutzwiller-Projected Schwinger-Boson Method." Journal of the Physical Society of Japan 65, no. 8 (1996): 2370–73. http://dx.doi.org/10.1143/jpsj.65.2370.

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20

Miyazaki, T., D. Yoshioka, and M. Ogata. "Anisotropic two-dimensional Heisenberg model studied by the Schwinger-boson Gutzwiller-projection method." Physical Review B 51, no. 5 (1995): 2966–71. http://dx.doi.org/10.1103/physrevb.51.2966.

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21

Bünemann, J., and W. Weber. "Generalized Gutzwiller method for n⩾2 correlated bands: First-order metal-insulator transitions." Physical Review B 55, no. 7 (1997): 4011–14. http://dx.doi.org/10.1103/physrevb.55.4011.

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22

Kubo, Katsunori. "Gutzwiller Method for an Extended Periodic Anderson Model with the c–f Coulomb Interaction." Journal of the Physical Society of Japan 80, no. 11 (2011): 114711. http://dx.doi.org/10.1143/jpsj.80.114711.

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23

Pasquier, V. "THE CN TODA CHAIN." International Journal of Modern Physics B 08, no. 04 (1994): 475–86. http://dx.doi.org/10.1142/s0217979294000208.

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We obtain the exact equation for the spectrum of the CN Toda chain and for a spin chain which gives the Toda chain back in the infinite spin limit. The method we use is a variant of the Bethe Ansatz technique discovered by Sklyanin based on M. Gutzwiller's solution of the AN case.
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24

Yanagisawa, Takashi. "Superconductivity, Antiferromagnetism, and Kinetic Correlation in Strongly Correlated Electron Systems." Advances in Condensed Matter Physics 2015 (2015): 1–5. http://dx.doi.org/10.1155/2015/141263.

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We investigate the ground state of two-dimensional Hubbard model on the basis of the variational Monte Carlo method. We use wave functions that include kinetic correlation and doublon-holon correlation beyond the Gutzwiller ansatz. It is still not clear whether the Hubbard model accounts for high-temperature superconductivity. The antiferromagnetic correlation plays a key role in the study of pairing mechanism because the superconductive phase exists usually close to the antiferromagnetic phase. We investigate the stability of the antiferromagnetic state when holes are doped as a function of t
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25

Baskaran, G. "THE RVB CONDUCTOR AND THE FERMI LIQUID (GUTZWILLER-BRINKMAN-RICE) CONDUCTOR." International Journal of Modern Physics B 02, no. 05 (1988): 539–54. http://dx.doi.org/10.1142/s0217979288000366.

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The doped Mott insulator has, under some conditions, qualitatively different behaviour as compared to an ordinary Fermi liquid conductor. This difference is focussed and brought out by a simple renormalisation group analysis as well as reinterpreting the known canonical transformation method and other results. We argue that there exists a separate fixed point, different from the Fermi-liquid fixed point, which governs the long wavelength and long-time scale behaviour of an RVB conductor. Also we identify the disordered local moment phase of the Hubbard model (for non-half filling) with the RVB
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26

Bünemann, J., and W. Weber. "The generalized Gutzwiller method for n⩾2 correlated orbitals: Itinerant ferromagnetism in d(eg)-bands." Physica B: Condensed Matter 230-232 (February 1997): 412–14. http://dx.doi.org/10.1016/s0921-4526(96)00596-0.

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27

Hashimoto, Katsufumi. "New approximation in the Gutzwiller method and its application to the problem of itinerant ferromagnetism." Physical Review B 31, no. 11 (1985): 7368–75. http://dx.doi.org/10.1103/physrevb.31.7368.

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28

Dong, Yue-Hang, Zhuo Ye, Wen-Cai Lu, Yong-Xin Yao, Cai-Zhuang Wang, and Kai-Ming Ho. "A benchmark of Gutzwiller conjugate gradient minimization method in ground state energy calculations of dimers." Computational and Theoretical Chemistry 1185 (September 2020): 112877. http://dx.doi.org/10.1016/j.comptc.2020.112877.

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29

Varma, C. M., W. Weber, and L. J. Randall. "Hybridization in correlated bands studied with the Gutzwiller method: Application to fluctuating valence and heavy fermions." Physical Review B 33, no. 2 (1986): 1015–19. http://dx.doi.org/10.1103/physrevb.33.1015.

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30

Yanagisawa, Takashi, Kunihiko Yamaji, and Mitake Miyazaki. "On the Kinetic Energy Driven Superconductivity in the Two-Dimensional Hubbard Model." Condensed Matter 6, no. 1 (2021): 12. http://dx.doi.org/10.3390/condmat6010012.

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We investigate the role of kinetic energy for the stability of superconducting state in the two-dimensional Hubbard model on the basis of an optimization variational Monte Carlo method. The wave function is optimized by multiplying by correlation operators of site off-diagonal type. This wave function is written in an exponential-type form given as ψλ=exp(−λK)ψG for the Gutzwiller wave function ψG and a kinetic operator K. The kinetic correlation operator exp(−λK) plays an important role in the emergence of superconductivity in large-U region of the two-dimensional Hubbard model, where U is th
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31

Yanagisawa, T., M. Miyazaki, and K. Yamaji. "Phase diagram of cuprate high-temperature superconductors based on the optimization Monte Carlo method." Modern Physics Letters B 34, no. 19n20 (2020): 2040046. http://dx.doi.org/10.1142/s0217984920400461.

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It is important to understand the phase diagram of electronic states in the CuO2 plane to clarify the mechanism of high-temperature superconductivity. We investigate the ground state of electronic models with strong correlation by employing the optimization variational Monte Carlo method. We consider the two-dimensional Hubbard model as well as the three-band [Formula: see text]–[Formula: see text] model. We use the improved wave function that takes account of inter-site electron correlation to go beyond the Gutzwiller wave function. The ground state energy is lowered considerably, which now g
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32

Kakehashi, Yoshiro, Sumal Chandra, Derwyn Rowlands, and M. Atiqur R. Patoary. "Momentum-dependent local ansatz approach to correlated electrons." Modern Physics Letters B 28, no. 19 (2014): 1430007. http://dx.doi.org/10.1142/s0217984914300075.

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The wavefunction method provides us with a useful tool to describe electron correlations in solids at the ground state. In this paper we review the recent development of the momentum-dependent local ansatz (MLA) wavefunction. It is constructed by taking into account two-particle excited states projected onto the local orbitals, and the momentum-dependent amplitudes of these states are chosen as variational parameters. The MLA describes accurately correlated electron states from the weak to the intermediate Coulomb interaction regime in infinite dimensions, and works well even in the strongly c
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33

Ye, Zhuo, Yong-Xin Yao, Cai-Zhuang Wang, and Kai-Ming Ho. "First-principles calculation of excited states of diatomic molecules: a benchmark for the Gutzwiller conjugate gradient minimisation method." Molecular Physics 118, no. 16 (2020): e1734243. http://dx.doi.org/10.1080/00268976.2020.1734243.

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34

ANDERSON, PHILIP W. "PERSONAL HISTORY OF MY ENGAGEMENT WITH CUPRATE SUPERCONDUCTIVITY, 1986–2010." International Journal of Modern Physics B 25, no. 01 (2011): 1–39. http://dx.doi.org/10.1142/s0217979211057013.

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Six months ago, I was asked to write a personal history of my engagement with the high-Tc problem of the cuprate superconductors, in a rather informal and autobiographical style. As the work proceeded, I realized that it was impossible and would have been dishonest to separate out my rather amusing but seminal early fumblings from the complete restructuring of the problem which I have achieved during the past decade. But the result became considerably too long, by over half, for its intended recipient. The assignment had left me with no obligation to deal with all the fascinating but irrelevan
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35

Lühmann, Dirk-Sören. "Cluster Gutzwiller method for bosonic lattice systems." Physical Review A 87, no. 4 (2013). http://dx.doi.org/10.1103/physreva.87.043619.

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36

Lanatà, Nicola, Hugo U. R. Strand, Xi Dai, and Bo Hellsing. "Efficient implementation of the Gutzwiller variational method." Physical Review B 85, no. 3 (2012). http://dx.doi.org/10.1103/physrevb.85.035133.

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37

Turkeshi, Xhek, and Marcello Dalmonte. "Parent Hamiltonian reconstruction of Jastrow-Gutzwiller wavefunctions." SciPost Physics 8, no. 3 (2020). http://dx.doi.org/10.21468/scipostphys.8.3.042.

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Variational wave functions have been a successful tool to investigate the properties of quantum spin liquids. Finding their parent Hamiltonians is of primary interest for the experimental realization of these strongly correlated phases, and for gathering additional insights on their stability. In this work, we systematically reconstruct approximate spin-chain parent Hamiltonians for Jastrow-Gutzwiller wave functions, which share several features with quantum spin liquid wave functions in two dimensions. Firstly, we determine the different phases encoded in the parameter space through their cor
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38

Tian, Ming-Feng, Xiaoyu Deng, Zhong Fang, and Xi Dai. "Intermediate-pressure phases of cerium studied by an LDA + Gutzwiller method." Physical Review B 84, no. 20 (2011). http://dx.doi.org/10.1103/physrevb.84.205124.

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39

Tian, Ming-Feng, Hai-Feng Song, Hai-Feng Liu, Cong Wang, Zhong Fang та Xi Dai. "Thermodynamics of theα−γtransition in cerium studied by an LDA + Gutzwiller method". Physical Review B 91, № 12 (2015). http://dx.doi.org/10.1103/physrevb.91.125148.

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40

Sherafati, M., S. Satpathy, and D. Pettey. "Gutzwiller variational method for intersite Coulomb interactions: The spinless fermion model in one dimension." Physical Review B 88, no. 3 (2013). http://dx.doi.org/10.1103/physrevb.88.035114.

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41

Deng, XiaoYu, Lei Wang, Xi Dai, and Zhong Fang. "Local density approximation combined with Gutzwiller method for correlated electron systems: Formalism and applications." Physical Review B 79, no. 7 (2009). http://dx.doi.org/10.1103/physrevb.79.075114.

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42

Sueishi, Naohisa, Syo Kamata, Tatsuhiro Misumi, and Mithat Ünsal. "On exact-WKB analysis, resurgent structure, and quantization conditions." Journal of High Energy Physics 2020, no. 12 (2020). http://dx.doi.org/10.1007/jhep12(2020)114.

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Abstract There are two well-known approaches to studying nonperturbative aspects of quantum mechanical systems: saddle point analysis of the partition functions in Euclidean path integral formulation and the exact-WKB analysis based on the wave functions in the Schrödinger equation. In this work, based on the quantization conditions obtained from the exact-WKB method, we determine the relations between the two formalism and in particular show how the two Stokes phenomena are connected to each other: the Stokes phenomenon leading to the ambiguous contribution of different sectors of the path in
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43

Zhang, Feng, Zhuo Ye, Yong-Xin Yao, Cai-Zhuang Wang, and Kai-Ming Ho. "An efficient random-sampling method for calculating double occupancy of Gutzwiller wave function in single-band 1D and 2D lattices." Molecular Physics, August 28, 2020, e1812745. http://dx.doi.org/10.1080/00268976.2020.1812745.

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44

"A new asymptotic representation for ζ(½ + i t ) and quantum spectral determinants". Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences 437, № 1899 (1992): 151–73. http://dx.doi.org/10.1098/rspa.1992.0053.

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By analytic continuation of the Dirichlet series for the Riemann zeta function ζ(s) to the critical line s = ½ + i t ( t real), a family of exact representations, parametrized by a real variable K , is found for the real function Z ( t ) = ζ(½ + i t ) exp {iθ( t )}, where θ is real. The dominant contribution Z 0 ( t,K ) is a convergent sum over the integers n of the Dirichlet series, resembling the finite ‘main sum ’ of the Riemann-Siegel formula (RS) but with the sharp cut-off smoothed by an error function. The corrections Z 3 ( t,K ), Z 4 ( t,K )... are also convergent sums, whose principal
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