Number Theory

The objective of the conference is to invite experts working in the areas of L-functions and related areas to give pedagogic lectures aimed for providing basic understanding of the research topics being covered and highlighting current status. Leading mathematicians working on different aspects of Number Theory will be invited to give lectures that provide a glimpse of cutting edge research in the field. Young researchers will have the opportunity for contributed talks on their research work and to interact with the experts during the conference. The conference is also intended to stimulate further communication among the researchers, which will foster new collaborations and new research directions.

• SPONSORS & CONTACTS •

The following speakers have confirmed their participation and to deliver talks, the list will be updated from time to time.

University of Hyderabad

IIT BHU

IIT Gandhinagar

IMSc Chennai

IIT Jammu

ISI-NE Tezpur

IIT Indore

HRI Prayagraj

IACS Kolkata

IIT Bombay

IMSc Chennai

IISER Pune

IISER Bhopal

IISER Berhampur

IISER Bhopal

Sorbonne University

SRM University

IIT Jodhpur

HRI Prayagraj

RKMVERI Kolkata

IIT Kanpur

ISI Delhi

CMI Chennai

RKMVERI Kolkata

• Adersh V K | TKM College of Arts and Science, Kerala |

• Aditi Savalia | IIT Gandhinagar |

• Dilip Kumar Sahoo | IISER Berhampur |

• Esrafil Ali Molla | RKMVERI, Belur |

• Gorekh Prasad Sena | NISER |

• Jagannath Bhanja | IMSc |

• Lalit Vaishya | IMSc |

• Md. Ibrahim Molla | RKMVERI, Belur |

• Mrityunjoy Charan | NISER |

• Nilanjan Bag | Nilanjan Bag |

• Prashant Tiwari | HRI, Prayagraj |

• Sandeep E M | ISI-NE, Tezpur |

• Shivani Goel | IIIT Delhi |

• Shivansh Pandey | NISER |

• Sreejith | KSOM, Calicut |

Accommodation will be provided to all the participants in NISER guest house during the period of the workshop. **Participants may plan to reach NISER on Sunday, February 19, 2023** and **depart by the forenoon of Sunday, February 26, 2023**.

Participants are requested to arrange travel support from their respective institutes. There is some limited travel fund available for young researchers. Preference for participation in the conference will be given to those applicants who have their own travel support. As per institute rules, 3-AC and 2-AC train fare can be reimbursed to the Ph.D students and Post-doctoral fellows, respectively, from their workplace to NISER via the shortest route.

Registration is Closed !

List of participants will be updated soon.
08:30 - 13:00

08:30 - 09:00 | **Registration**

09:00 - 10:00 | **M Waldschmidt***[1/4] A survey on Diophantine properties of the Riemann zeta function*

10:00 - 11:00 | **Kaneenika Sinha***[1/4] Central limit theorems in number theory*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 13:00 | **D Surya Ramana***[1/3] Large sieve*

13:00 - 14:30 | **Lunch Break**

14:30 - 17:30

14:30 - 15:30 | **Kaneenika Sinha***[2/4] Central limit theorems in number theory*

15:30 - 16:00 | **Tea/Coffee Break**

16:00 - 16:30 | **Shivansh Pandey***Nonvanishing of kernel functions and PoincarĂ© series for Jacobi forms*

16:30 - 17:00 | **Mrityunjoy Charan***PoincarĂ© series associated to any q series*

17:00 - 17:30 | **Sandeep E M***Zero free regions of spectral averages of L-functions*

09:00 - 13:00

09:00 - 10:00 | **M Waldschmidt***[2/4] A survey on Diophantine properties of the Riemann zeta function*

10:00 - 11:00 | **Kaneenika Sinha***[3/4] Central limit theorems in number theory*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 13:00 | **D Surya Ramana***[2/3] Large sieve*

13:00 - 14:30 | **Lunch Break**

14:30 - 17:30

14:30 - 15:30 | **M Waldschmidt***[3/4] A survey on Diophantine properties of the Riemann zeta function*

15:30 - 16:00 | **Tea/Coffee Break**

16:00 - 16:30 | **Jagannath Bhanja***[1/2] Sumsets of dilated integer sets*

16:30 - 17:00 | **Lalit Vaishya***An upper bound estimate on first ever negative sign of Hecke eigenvalues at integers in sparse set*

17:00 - 17:30 | **Nilanjan Bag***Bounds on bilinear sums of Kloosterman sums*

09:00 - 13:00

09:00 - 10:00 | **M Waldschmidt***[4/4] A survey on Diophantine properties of the Riemann zeta function*

10:00 - 11:00 | **Kaneenika Sinha***[4/4] Central limit theorems in number theory*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 13:00 | **D Surya Ramana***[3/3] Large sieve*

13:00 - 14:30 | **Lunch Break**

14:30 - 18:00

14:30 - 15:00 | **Gorekh Prasad Sena***Lehmer's problem under splitting conditions*

15:00 - 15:30 | **Aditi Savalia***An induction principle for the Bombieri-Vinogradov theorem over F _{q}[t] and a variant of the Titchmarsh divisor problem*

15:30 - 16:00 | **Tea/Coffee Break**

16:00 - 16:30 | **Dilip Kumar Sahoo***Holomorphicity of the desingularized multiple zeta functions*

16:30 - 17:00 | **Adersh V K***On newforms and Saito-Kurokawa lifts*

17:00 - 17:30 | **Prashant Tiwari***On sign changes of primitive Fourier coefficients of Siegel cusp forms*

17:30 - 18:00 | **Shivani Goel***Higher convolutions of Ramanujan sums and the HardyLittlewood prime tuples conjec ture*

09:00 - 13:00

08:30 - 09:00 | **Registration**

09:00 - 09:30 | **Inauguration**

09:30 - 10:15 | **B Ramakrishnan***Some remarks on the Shimura correspondence*

10:15 - 11:00 | **M Manickam***Simultaneous non vanishing of central values of the twisted Lfunctions of two normalised newforms of weight 2k and level p, an odd prime*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 12:15 | **Jyoti Sengupta***TBA*

12:15 - 13:00 | **Karam Deo Shankhadhar***Mock modular forms whose shadows are Eisenstein series and theta powers*

13:00 - 14:30 | **Lunch Break**

14:30 - 17:45

14:30 - 15:15 | **Abhash Kumar Jha***L-functions associated with Jacobi forms*

15:15 - 16:00 | **Akshaa Vatwani***Limitations to equidistribution in arithmetic progressions*

16:00 - 16:30 | **Tea/Coffee Break**

16:30 - 17:15 | **Saurabh Singh***Integer points on quadrics with automorphic weights*

17:15 - 17:45 | **Arvind Kumar***Ramanujan-style congruences*

09:00 - 13:00

09:00 - 09:45 | **S D Adhikari***Some algebraic methods in zero-sum problems of additive combinatorics*

09:45 - 10:30 | **A Sankaranarayanan***On the average behavior of coefficients related to triple product L-functions*

10:30 - 11:00 | **Anup Dixit***Lehmer's conjecture for certain infinite extensions*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 12:15 | **R Thangadurai***TBA*

12:15 - 13:00 | **Stephan Baier***Solutions of x _{1}^{2} + x_{2}^{2} âˆ’ x_{3}^{2} = n^{2} with small x_{3}*

13:00 - 14:30 | **Lunch Break**

14:30 - 17:45

14:30 - 15:15 | **Kotyada Srinivas***TBA*

15:15 - 16:00 | **Shanta Laishram***On the stability of certain higher degree polynomials*

16:00 - 16:30 | **Tea/Coffee Break**

16:30 - 17:15 | **Kasi Viswanadham***Discrepancy of generalized polynomials*

17:15 - 17:45 | **Siddhi Pathak***TBA*

09:00 - 13:00

09:00 - 09:30 | **K Mallesham***Second moment of derivatives of GL(2) L-functions over quadratic twist*

09:30 - 10:00 | **Bibekananda Majhi***Hardy-Littlewood-Riesz type criteria for the generalized Riemann hypothesis*

10:00 - 10:30 | **Manish Pandey***TBA*

10:30 - 11:00 | **Esrafil Ali Molla***Diophantine approximation with prime restriction in quadratic function fields*

11:00 - 11:30 | **Tea/Coffee Break**

11:30 - 12:00 | **Moni Kumari***Comparing Hecke eigenvalues of Siegel eigenforms*

12:00 - 12:30 | **Sreejith***Certain plus spaces of newforms of half-integral weight*

12:30 - 13:00 | **Md Ibrahim Molla***Some Inverse Problems in Zero-sum Theory*

13:00 - 14:30 | **Lunch**

~ End of Workshop ~

Postal contact address:

Organisers, Workshop on Number TheorySchool of Mathematical Sciences

National Institute of Science Education and Research, Bhubaneswar

PO: NISER, Via: Jatni, District: Khurda, Odisha - 752050

- +91-674-2494082 / 2494216
- brundaban.sahu@ | jaban@ | senthil@ | spujahari@ [niser.ac.in]

- School of Mathematical Sciences, NISER

- +91-674-2494082 / 2494216