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1.

図書

図書
Bruce C. Berndt, Ronald J. Evans, Kenneth S. Williams
出版情報: New York : Wiley, c1998  xi, 583 p. ; 25 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts ; v. 21
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目次情報: 続きを見る
Gauss Sums
Jacobi Sums and Cyclotomic Numbers
Evaluation of Jacobi Sums Over Fp
Determination of Gauss Sums Over Fp
Difference Sets
Jacobsthal Sums Over Fp
Residuacity
Reciprocity Laws
Congruences for Binomial Coefficients
Diagonal Equations over Finite Fields
Gauss Sums over Fq
Eisenstein Sums
Brewer Sums
A General Eisenstein Reciprocity Law
Research Problems
Bibliography
Notation
Indexes
Gauss Sums
Jacobi Sums and Cyclotomic Numbers
Evaluation of Jacobi Sums Over Fp
2.

図書

図書
Rajiv Gupta, Kenneth S. Williams, editors
出版情報: Providence, R.I. : American Mathematical Society, c1999  xxxii, 392 p. ; 26 cm
シリーズ名: CRM proceedings & lecture notes ; v. 19
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Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
Integral points on cubic surfaces / F. Beukers
The last exhaustive computation of class groups of complex quadratic number fields / D. A. Buell
Diophantine approximation in projective space / K.-K. Choi ; J. D. Vaaler
Bounds for odd perfect numbers / R. J. Cook
Automorphic $L$-functions in level aspect / W. Duke
The number field sieve on many computers / R.-M. Elkenbracht-Huizing ; P. L. Montgomery ; R. D. Silverman ; R. K. Wackerbarth ; S. S. Wagstaff, Jr
On the order of $a$ (mod $p$) / P. Erdos ; M. R. Murty
A special case of Cohen-Lenstra heuristics in function fields / C. Friesen
An asymptotic expansion of Ramanujan / W. F. Galway
Improving Ramachandra's and Levesque's unit index / C. Greither
On the middle factor of the period polynomial for finite fields / S. Gurak
On the distribution of champs / A. Ivic ; C. Pomerance
Sextic number fields with discriminant $(-1)^j2^a3^b$ / J. W. Jones ; D. P. Roberts
Traces of singular moduli and the Fourier coefficients of the elliptic modular function $j(\tau)$ / M. Kaneko
Probleme d'Eisenstein pour le conducteur 3 / P. Kaplan
Liens entre le theoreme de Mason et la conjecture $(abc)$ / M. Langevin
On the trace of Hecke operators for Maass forms / X.-J. Li
An analysis of Shanks's algorithm for computing square roots in finite fields / S. Lindhurst
On the equation $a_1p_1 + a_2p_2 + a_3p_3 = b$ with prime variables in arithmetic progressions / M.-C. Liu ; T. Wang
Solutions to $x^2 - Dy^2 = Q$ / S. Louboutin ; R. A. Mollin
Integers represented by ternary quadratic forms / K. Ono ; K. Soundararajan
Some uniformity results following from the Lang conjectures / P. L. Pacelli
Fourier coefficients of cusp forms / Y. N. Petridis
Beer and continued fractions with periodic periods / A. J. van der Poorten
An inequality for polynomials / C. J. Smyth
Some integrals of theta functions in Ramanujan's lost notebook / S. H. Son
Arithmetic of a certain Calabi-Yau threefold / H. A. Verrill
Diophantine approximation in Euclidean spaces / L. Ya. Vulakh
Transcendance et independance algebrique de valeurs de fonctions modulaires / M. Waldschmidt
On the rank of ideal class groups / S. Wong
Conference problems session conducted / J. L. Selfridge ; R. K. Guy Homework! ; P. Ribenboim
Rational curves with zero self intersection on certain $K$3 surfaces / A. Baragar
Notes on Ramanujan's singular moduli / B. C. Berndt ; H. H. Chan
The operator $x +(1/x)-2$ and the reciprocal integers / M.-J. Bertin
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