On the Distribution of αp + β Modulo One for Primes of Type p = ar^2+1

Authors

  • Tatyana Todorova Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, Bulgaria

DOI:

https://doi.org/10.7546/CRABS.2024.07.01

Keywords:

distribution modulo one, primes in quadratic progressions

Abstract

We study the distribution of fractional part of αp + β modulo 1,with irrational α and p prime of the form p = ar2+1.

Author Biography

Tatyana Todorova, Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”, Bulgaria

Mailing Address:
Faculty of Mathematics and Informatics,
Sofia University “St. Kliment Ohridski”,
5, J. Bourchier Blvd, 1164 Sofia, Bulgaria

E-mail: tlt@fmi.uni-sofia.bg

Downloads

Published

30-07-2024

How to Cite

[1]
T. Todorova, “On the Distribution of αp + β Modulo One for Primes of Type p = ar^2+1”, C. R. Acad. Bulg. Sci., vol. 77, no. 7, pp. 953–962, Jul. 2024.

Issue

Vol. 77 No. 7 (2024)

Section

Mathematics

License

Copyright (c) 2024 Proceedings of the Bulgarian Academy of Sciences

Copyright (c) 2022 Proceedings of the Bulgarian Academy of Sciences

Copyright is subject to the protection of the Bulgarian Copyright and Associated Rights Act. The copyright holder of all articles on this site is Proceedings of the Bulgarian Academy of Sciences. If you want to reuse any part of the content, please, contact us.