Статии:

1. Temenoujka Peneva, Tatiana Todorova, \textit{On a Diophantine Inequality Involving Primes Yielding Square-Free Sums with Given Integers},  2026, Rendiconti del Seminario Matematico, della Università di Padova, ISSN (print): 0041-8994, ISSN (online): 2240-2926, DOI:\url{https://ems.press/journals/rsmup/article

2. Todorova, Tatiana L., Atanaska Georgieva, \textit{A Diophantine Inequality Involving Mixed Powers of Primes with a Specific Type}, Mathematics, vol.~13, issue~19,  pp.~1--21, 2025, ISSN (online): 2227-7390, DOI: \url{https://doi.org/10.3390/math13193065.

3. Georgieva, Atanaska,  Tatiana L. Todorova, \textit{Distribution Modulo One of $\alpha p^{\gamma}+\beta$ for Special Classes of Primes}, Axioms, vol.~14, issue~7, pp.~531, 2025, ISSN (online): 2075-1680, DOI: \url{https://doi.org/10.3390/axioms14070532}

4. T. Todorova, \textit{On the distribution of $\alpha p+\beta$ modulo one for primes of type $p=ar^2+1$}, Comptes Rendus de L'Academie Bulgare des Sciences, vol.~77, issue~7, pp.~953-962, 2024, ISSN: 1310–1331 (Print), 2367–5535 (Online), DOI: \url{https://doi.org/10.7546/CRABS.2024.07.01. 

5. T. L. Todorova, \textit{Diophantine approximation by prime numbers of a special form}, Serdica Mathematical Journal, vol.~47, issue~3, pp.~255-272, 2020, ISSN (print):1310-6600, DOI: \url{https://doi.org/10.55630/serdica.2021.47.255-272}

6. Zh. H. Petrov, T. Todorova, \textit{Representation of natural numbers by sums of four squares of almost-prime having a spacial form}, Annual of Sofia University "St. Kl. Ohridski", Faculty of Mathematics and Informatics, vol.~107, pp.~15-29, 2020, ISSN (print): 1313-9215, ISSN (online): 2603-5529, DOI: \url{https://doi.org/10.60063/gsu.fmi.107.15-29}

7. S. I. Dimitrov, T. L. Todorova, \textit{Diophantine approximation by prime numbers of a special form}, Annuaire de l’Université de Sofia “St. Kliment Ohridski”,Faculté de Mathématiques et Informatique, vol.~102, pp.~71-90, 2015, ISSN (print): 1313-9215, eISSN (online): 2603-5529.

8. Todorova, T. L.; Tolev, I. D., \textit{On the equation $x^2_1+x^2_2+x^2_3+x^2_4=N$, with variables such that $x_1 x_2 x_3 x_4 + 1$ is an almost-prime}, Tatra Mountains Mathematical Publications, vol.~59, issue~1, pp.~1-26, 2014, ISSN (print): 1210-3195, ISSN (online): 1338-9750, DOI: \href{https://doi.org/10.2478/tmmp-2014-0015}{10.2478/tmmp-2014-0015} 

9. T. L. Todorova, D. I. Tolev, \textit{On the distribution of $\alpha p$ modulo one for primes $p$ of a special form}, Mathematica Slovaca, vol.~60, issue~6, pp.~771-786, 2010, ISSN (print): 0139-9918, ISSN (online):1337-2211, DOI: \url{https://doi.org/10.2478/s12175-010-0045-3}

10. T. L. Todorova, \textit{An additive divisor problem},Acta Universitatis Apulensis. Mathematics - Informatics, vol.~9, pp.~87-94, 2005.

Публикации в томове на конференции 

11. Tatiana L. Todorova, \textit{A Diophantine inequality with mixed powers of four primes of a specific type}, Mathematics and Education in Mathematics, Proceedings of the Fifty-Five Conference of the Union of Bulgarian Mathematicians, April 5 - 9, 2026, Triavna, Bulgaria, 2026. 

12. T. L. Todorova, \textit{On the distribution of $\alpha p^2 + \beta$ modulo one for primes $p$ such that $p + 2$ has no more two prime divisors}, Mathematics and Education in Mathematics, Proceedings of the Fifty-Third Spring Conference of the Union of Bulgarian Mathematicians, Borovets, April 1−5, 2024, vol.~53, pp.~39-56, 2024, ISSN (Print) 1313-3330, ISSN (Online) 2815-4002,  DOI: \url{https://doi.org/10.55630/mem.2024.53.039-056}

13. T. Todorova, \textit{Lagrange's four square theorem with almost-prime numbers having a special form}, Mathematics and Education in Mathematics, Proceedings of the Fiftieth Jubilee Spring Conference of the Union of Bulgarian Mathematicians, vol.~50, pp.~163-175, 2021, ISSN (online): 1313-3330. 

14. Angelova, T. L. Todorova, \textit{On differential Inequality $|u''(x)+a^2u(x)|\le g(x)$}, Proceedings in Advanced Research in Scientific Areas, pp.~1415-1418, 2012, ISSN: 978-80-554-0606-0, ISSN (online): 1338-983.

15. T. L. Todorova, \textit{Lower estimator of a number of positive integer $h$, for which exist infinitely many primes $h$ – twins}, Mathematics and Education in Mathematics, Proc. of Thirty First Spring Conference of UBM,  Borovets, April 3-6., vol.~31, pp.~106-111, 2002, ISSN(print): 1313-3330. 

Дисертация

Татяна Тодорова, \textit{Три задачи от аналитичната теория на числата}, Ph.D. thesis, 2015, Факултет по математика и информатика, СУ ''Ст. Кл. Охридски'', научни ръководители проф. д-р Керопе Чакърян и проф. дмн Дойчин Толев.

Абстракти:

A representation of trigonometric sums via trigonometric integrals, AlgebraicGeometry, AlgebraandApplications, Conference and Summer School, Spt. 2003, Borovetz, 49