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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

1978, Volume 76

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Analytical theory of numbers and theory of functions


Theory of Eisenstein series for the group $SL(3,\mathbf R)$ and its application to a binary problem. I. Fourier expansion of the highest Eisenstein series
A. I. Vinogradov, L. A. Takhtadzhyan
5
Asymptotic behavior of the number of representations of large integers by certain positive-definite ternary quadratic forms
E. P. Golubeva
53
A simplified variant of the method of computation of the Fourier coefficients of a series
E. P. Golubeva
60
Rationality of generating series for the Fourier coefficient of Siegel modular forms of genus $n$
S. A. Evdokimov
65
Zeros of the Dirichlet $L$-functions on short segments of the critical line
V. G. Zhuravlev
72
Zeros on the critical line of Dirichlet series associated with Hilbert modular forms
V. G. Zhuravlev
89
A. F. Lavrik's truncated equations
R. M. Kaufman
124
Spectral methods in arithmetic problems
N. V. Kuznetsov
159
Maximum problem for the fourth diameter in a family of continua of fixed capacity
G. V. Kuz'mina
167
Siegel's formula for genus 2
O. M. Fomenko
210


© Steklov Math. Inst. of RAS, 2025