The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.
The Generalized Divisor Problem Over Arithmetic Progressions.
The number of primes in a short interval.
The Selberg zeta function and a local trace formula for Kleinian groups.
The size of the Lerch zeta-function at places symmetric with respect to the line
Let be the Riemann zeta-function. If and , then it is known that the inequality is valid except at the zeros of . Here we investigate the Lerch zeta-function which usually has many zeros off the critical line and it is expected that these zeros are asymmetrically distributed with respect to the critical line. However, for equal parameters it is still possible to obtain a certain version of the inequality .
Théorie des nombres et singularités.
Über die reellen Nullstellen der Dirichletschen L-Reihen
Über die Siegel-Nullstelle der Dirichletschen Funktionen
Über einige Reihen, welche mit den Vielfachen von Irrationalzahlen zusammenhängen
Une forme icosaédrale de poids 1
Universality results on Hurwitz zeta-functions
In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.
Zero-density estimates for L-functions
Zeros on the Critical Line for Dirichlet Series Attached to Certain Cusp Forms.
Zeta-functions, Lambert series and arithmetic functions analogous to Ramanujan's ...-function. II.
Zeta-functions, Lambert series and arithmetic functions analogous to Ramanujan's ...-function. I.
Zeta-Functions of Binary Hermitian Forms and Special Values of Eisenstein Series on Three-Dimensional Hyperbolic Space.
Аналитическое продолжение в критическую полосу. Арифметическая часть
Асимптотика числа представлений больших чисел некоторыми тернарными положительными квадратичными формами
Дзета-функция аддитивной проблемы делителей и спектральное разложение автоморфного лапласиана
Дзета-функция шестой степени для эрмитовых модулярных форм рода 2